@inproceedings{BallmannRaatschenStaat1985,
  author    = {Ballmann, J. and Raatschen, Hans-J{\"u}rgen and Staat, Manfred},
  title     = {High stress intensities in focussing zones of waves},
  doi       = {10.1016/B978-0-444-42520-1.50015-3},
  year      = {1985},
  abstract  = {The propagation of mechanical waves in plates of isotropic elastic material is investigated. After a short introduction to the understanding of focussing of stress waves in a plate with a curved boundary the method of characteristics is applied to a plate of hyperelastic material. Using this method the propagation of acceleration waves is discussed. Based on this a numerical difference scheme is developed for solving initial-boundary-value problems and applied to two examples: propagation of a point disturbance in a homogeneously finitely strained non-linear elastic plate and geometrical focussing in al linear elastic plate.},
  subject      = {Technische Mechanik},
  language  = {en}
}
@article{StaatBallmann1988,
  author    = {Staat, Manfred and Ballmann, J.},
  title     = {Computation of impacts on elastic solids by methods of bicharacteristics},
  series = {Computational Mechanics '88 : theory and applications ; proceedings of the International Conference on Computational Engineering Science April 10-14, 1988, Atlanta, GA, USA ; vol. 2},
  journal   = {Computational Mechanics '88 : theory and applications ; proceedings of the International Conference on Computational Engineering Science April 10-14, 1988, Atlanta, GA, USA ; vol. 2},
  pages     = {1719 -- 1722},
  year      = {1988},
  abstract  = {Shock waves, explosions, impacts or cavitation bubble collapses may generate stress waves in solids causing cracks or unexpected dammage due to focussing, physical nonlinearity or interaction with existing cracks. There is a growing interest in wave propagation, which poses many novel problems to experimentalists and theorists.},
  subject      = {Bicharakteristikenverfahren},
  language  = {en}
}
@article{StaatBallmann1988,
  author    = {Staat, Manfred and Ballmann, J.},
  title     = {Wave Propagation and Focussing in Plates},
  series = {Impact loading and dynamic behaviour of materials : Papers presented at the International Conference on Impact Loading and Dynamic Behaviour of Materials, Vol. 2 / Chiem, C. Y.; Kunze, L. (u.a.) [eds]},
  journal   = {Impact loading and dynamic behaviour of materials : Papers presented at the International Conference on Impact Loading and Dynamic Behaviour of Materials, Vol. 2 / Chiem, C. Y.; Kunze, L. (u.a.) [eds]},
  publisher = {DGM Informationsges.},
  address   = {Oberursel},
  year      = {1988},
  language  = {en}
}
@inproceedings{StaatBallmann1989,
  author    = {Staat, Manfred and Ballmann, J.},
  title     = {Fundamental aspects of numerical methods for the propagation of multi-dimensional nonlinear waves in solids},
  series = {Nonlinear hyperbolic equations : theory, computations methods, and applications ; proceedings of the 2nd International Conference on Nonlinear Hyperbolic Problems, Aachen},
  booktitle = {Nonlinear hyperbolic equations : theory, computations methods, and applications ; proceedings of the 2nd International Conference on Nonlinear Hyperbolic Problems, Aachen},
  pages     = {574 -- 588},
  year      = {1989},
  abstract  = {The nonlinear scalar constitutive equations of gases lead to a change in sound speed from point to point as would be found in linear inhomogeneous (and time dependent) media. The nonlinear tensor constitutive equations of solids introduce the additional local effect of solution dependent anisotropy. The speed of a wave passing through a point changes with propagation direction and its rays are inclined to the front. It is an open question whether the widely used operator splitting techniques achieve a dimensional splitting with physically reasonable results for these multi-dimensional problems. May be this is the main reason why the theoretical and numerical investigations of multi-dimensional wave propagation in nonlinear solids are so far behind gas dynamics. We hope to promote the subject a little by a discussion of some fundamental aspects of the solution of the equations of nonlinear elastodynamics. We use methods of characteristics because they only integrate mathematically exact equations which have a direct physical interpretation.},
  subject      = {Nichtlineare Welle},
  language  = {en}
}
@article{Staat1993,
  author    = {Staat, Manfred},
  title     = {Sensitivity of and Influences on the Reliability of an HTR-Module Primary Circuit Pressure Boundary},
  series = {Transactions of the 12th International Conference on Structural Mechanics in Reactor Technology (SMiRT-12) / Kussmaul, K. [ed]},
  journal   = {Transactions of the 12th International Conference on Structural Mechanics in Reactor Technology (SMiRT-12) / Kussmaul, K. [ed]},
  publisher = {Elsevier},
  address   = {Amsterdam},
  isbn      = {0-444-81515-5},
  pages     = {147 -- 152},
  year      = {1993},
  language  = {en}
}
@article{Staat1993,
  author    = {Staat, Manfred},
  title     = {Reliability of the Primary Circuit Pressure Boundary of an HTR-Module under Accident Conditions},
  series = {Safety and reliability assessment : an integral approach ; ESREL'93 ; proceedings of the European Safety and Reliability Conference, Munich, Germany, May 10th - 12th 1993 / Kafka, P. [ed]},
  journal   = {Safety and reliability assessment : an integral approach ; ESREL'93 ; proceedings of the European Safety and Reliability Conference, Munich, Germany, May 10th - 12th 1993 / Kafka, P. [ed]},
  publisher = {Elsevier},
  address   = {Amsterdam},
  isbn      = {0-444-81561-9},
  pages     = {331 -- 342},
  year      = {1993},
  language  = {en}
}
@article{Staat1993,
  author    = {Staat, Manfred},
  title     = {Failure probabilities of the primary circuit pressure boundary of an HTR-Module for process heat generation under accident conditions for different failure modes},
  series = {Nuclear Engineering and Design. 144 (1993), H. 1},
  journal   = {Nuclear Engineering and Design. 144 (1993), H. 1},
  isbn      = {0029-5493},
  pages     = {53 -- 67},
  year      = {1993},
  language  = {en}
}
@article{Staat1995,
  author    = {Staat, Manfred},
  title     = {Reliability of an HTR-module primary circuit pressure boundary Influences, sensitivity, and comparison with a PWR},
  series = {Nuclear Engineering and Design. 158 (1995), H. 2-3},
  journal   = {Nuclear Engineering and Design. 158 (1995), H. 2-3},
  isbn      = {0029-5493},
  pages     = {333 -- 340},
  year      = {1995},
  language  = {en}
}
@article{Staat1996,
  author    = {Staat, Manfred},
  title     = {Problems and Chances for Probabilistic Fracture Mechanics in the Analysis of Steel Pressure Boundary Reliability},
  series = {Technical feasibility and reliability of passive safety systems for nuclear power plants. Proceedings of an Advisory Group Meeting held in J{\"u}lich, 21-24 November 1994},
  journal   = {Technical feasibility and reliability of passive safety systems for nuclear power plants. Proceedings of an Advisory Group Meeting held in J{\"u}lich, 21-24 November 1994},
  address   = {Vienna},
  pages     = {43 -- 55},
  year      = {1996},
  language  = {en}
}
@article{Staat1996,
  author    = {Staat, Manfred},
  title     = {Probabilistic assessment of the fracture mechanics behaviour of an HTR-module primary circuit pressure boundary},
  series = {Nuclear Engineering and Design. 160 (1996), H. 1-2},
  journal   = {Nuclear Engineering and Design. 160 (1996), H. 1-2},
  isbn      = {0029-5493},
  pages     = {221 -- 236},
  year      = {1996},
  language  = {en}
}
@inproceedings{StaatHeitzer1997,
  author    = {Staat, Manfred and Heitzer, Michael},
  title     = {Limit and shakedown analysis for plastic design},
  year      = {1997},
  abstract  = {Limit and shakedown theorems are exact theories of classical plasticity for the direct computation of safety factors or of the load carrying capacity under constant and varying loads. Simple versions of limit and shakedown analysis are the basis of all design codes for pressure vessels and pipings. Using Finite Element Methods more realistic modeling can be used for a more rational design. The methods can be extended to yield optimum plastic design. In this paper we present a first implementation in FE of limit and shakedown analyses for perfectly plastic material. Limit and shakedown analyses are done of a pipe-junction and a interaction diagram is calculated. The results are in good correspondence with the analytic solution we give in the appendix.},
  subject      = {Einspielen <Werkstoff>},
  language  = {en}
}
@article{StaatFioriniLensaetal.1997,
  author    = {Staat, Manfred and Fiorini, G. L. and Lensa, W. von and Burgazzi, L.},
  title     = {Reliability Methods for Passive Safety Functions},
  series = {Proceedings of the SMiRT 14 Post Conference Seminar No 18 on Passive Safety Features in Nuclear Installations},
  journal   = {Proceedings of the SMiRT 14 Post Conference Seminar No 18 on Passive Safety Features in Nuclear Installations},
  address   = {Pisa},
  year      = {1997},
  language  = {en}
}
@article{StaatHeitzer1997,
  author    = {Staat, Manfred and Heitzer, M.},
  title     = {Limit and Shakedown Analysis for Plastic Safety of Complex Structures},
  series = {Transactions of the 14th International Conference on Structural Dynamics in Reactor Technology (SMiRT-14) / Livolant, M. [ed]},
  journal   = {Transactions of the 14th International Conference on Structural Dynamics in Reactor Technology (SMiRT-14) / Livolant, M. [ed]},
  address   = {Lyon},
  pages     = {33 -- 40},
  year      = {1997},
  language  = {en}
}
@article{StaatHeitzer1997,
  author    = {Staat, Manfred and Heitzer, M.},
  title     = {Limit and Shakedown Analysis Using a General Purpose Finite Element Code},
  series = {Proceedings of NAFEMS World Congress '97 on Design, Simulation \& Optimisation : reliability \& applicability of computational methods ; Stuttgart, Germany, 9 - 11 April 1997},
  journal   = {Proceedings of NAFEMS World Congress '97 on Design, Simulation \& Optimisation : reliability \& applicability of computational methods ; Stuttgart, Germany, 9 - 11 April 1997},
  publisher = {NAFEMS},
  address   = {Glasgow},
  isbn      = {1-87437-620-4},
  pages     = {522 -- 533},
  year      = {1997},
  language  = {en}
}
@inproceedings{BurgazziFioriniDeMagistrisetal.1998,
  author    = {Burgazzi, L. and Fiorini, F. and De Magistris, W. (u.a.) and Lensa, W. von and Staat, Manfred and Altes, J.},
  title     = {Reliability Assessment of Passive Safety Systems},
  series = {Proceedings of the 6th International Conference on Nuclear Engineering : ICONE : May 10 - 14, 1998, San Diego, Calif.},
  booktitle = {Proceedings of the 6th International Conference on Nuclear Engineering : ICONE : May 10 - 14, 1998, San Diego, Calif.},
  publisher = {American Society of Mechanical Engineers},
  address   = {New York},
  year      = {1998},
  language  = {en}
}
@article{StaatHeitzer1999,
  author    = {Staat, Manfred and Heitzer, M.},
  title     = {Structural Reliability Analysis of Elasto-Plastic Structures},
  series = {Safety and reliability : proceedings of ESREL '99, the Tenth European Conference on Safety and Reliability, Munich-Garching, Germany, 13 - 17 September 1999 / Schu{\"e}ller, G. I.; Kafka, P. [eds]},
  journal   = {Safety and reliability : proceedings of ESREL '99, the Tenth European Conference on Safety and Reliability, Munich-Garching, Germany, 13 - 17 September 1999 / Schu{\"e}ller, G. I.; Kafka, P. [eds]},
  publisher = {Balkema},
  address   = {Rotterdam},
  isbn      = {90-5809-109-0},
  pages     = {513 -- 518},
  year      = {1999},
  language  = {en}
}
@article{StaatHeitzer1999,
  author    = {Staat, Manfred and Heitzer, M.},
  title     = {FEM-computation of load carrying capacity of highly loaded passive components by direct methods. Heitzer, M. ; Staat, M.},
  series = {Nuclear Engineering and Design. 193 (1999), H. 3},
  journal   = {Nuclear Engineering and Design. 193 (1999), H. 3},
  isbn      = {0029-5493},
  pages     = {349 -- 358},
  year      = {1999},
  language  = {en}
}
@inproceedings{HeitzerStaat2000,
  author    = {Heitzer, M. and Staat, Manfred},
  title     = {Direct FEM approach to design-by-analysis of pressurized components},
  year      = {2000},
  abstract  = {Abstracts of the ACHEMA 2000 - International Meeting on Chemical Engineering, Environmental Protection and Biotechnology, May 22 - 27, 2000. Frankfurt am Main. Achema 2000 : special edition / Linde. [Ed.: Linde AG. Red.: Volker R. Leski]. - Wiesbaden : Linde AG, 2000. - 56 p. : Ill., . - pp: 79 - 81},
  subject      = {Finite-Elemente-Methode},
  language  = {en}
}
@article{StaatHeitzer2000,
  author    = {Staat, Manfred and Heitzer, M.},
  title     = {Reliability Analysis of Elasto-Plastic Structures under Variable Loads},
  series = {Inelastic analysis of structures under variable loads : theory and engineering applications / Maier, G.; Weichert, D. [ed]},
  journal   = {Inelastic analysis of structures under variable loads : theory and engineering applications / Maier, G.; Weichert, D. [ed]},
  publisher = {Kluwer Academic Publ.},
  address   = {Dordrecht},
  isbn      = {0-7923-6645-X},
  pages     = {269 -- 288},
  year      = {2000},
  language  = {en}
}
@book{StaatHeitzerYanetal.2000,
  author    = {Staat, Manfred and Heitzer, M. and Yan, Ai-Min and Khoi, Vu Duc and Nguyen, Dang Hung and Valdoire, F. and Lahousse, A.},
  title     = {Limit Analysis of Defects},
  publisher = {Forschungszentrum J{\"u}lich},
  address   = {J{\"u}lich},
  issn      = {0944-2952},
  pages     = {89 S.},
  year      = {2000},
  language  = {en}
}
@inproceedings{StaatHeitzer2000,
  author    = {Staat, Manfred and Heitzer, Michael},
  title     = {Direct static FEM approach to limit and shakedown analysis},
  year      = {2000},
  abstract  = {Safety and reliability of structures may be assessed indirectly by stress distributions. Limit and shakedown theorems are simplified but exact methods of plasticity that provide safety factors directly in the loading space. These theorems may be used for a direct definition of the limit state function for failure by plastic collapse or by inadaptation. In a FEM formulation the limit state function is obtained from a nonlinear optimization problem. This direct approach reduces considerably the necessary knowledge of uncertain technological input data, the computing time, and the numerical error. Moreover, the direct way leads to highly effective and precise reliability analyses. The theorems are implemented into a general purpose FEM program in a way capable of large-scale analysis.},
  subject      = {Einspielen <Werkstoff>},
  language  = {en}
}
@article{Staat2000,
  author    = {Staat, Manfred},
  title     = {Basis Reduction for the Shakedown Problem for Bounded Kinematic Hardening Material},
  year      = {2000},
  abstract  = {Limit and shakedown analysis are effective methods for assessing the load carrying capacity of a given structure. The elasto-plastic behavior of the structure subjected to loads varying in a given load domain is characterized by the shakedown load factor, defined as the maximum factor which satisfies the sufficient conditions stated in the corresponding static shakedown theorem. The finite element dicretization of the problem may lead to very large convex optimization. For the effective solution a basis reduction method has been developed that makes use of the special problem structure for perfectly plastic material. The paper proposes a modified basis reduction method for direct application to the two-surface plasticity model of bounded kinematic hardening material. The considered numerical examples show an enlargement of the load carrying capacity due to bounded hardening.},
  subject      = {Finite-Elemente-Methode},
  language  = {en}
}
@article{Staat2000,
  author    = {Staat, Manfred},
  title     = {Direct FEM Limit and Shakedown Analysis with Uncertain Data},
  year      = {2000},
  abstract  = {The structural reliability with respect to plastic collapse or to inadaptation is formulated on the basis of the lower bound limit and shakedown theorems. A direct definition of the limit state function is achieved which permits the use of the highly effective first order reliability methods (FORM) is achieved. The theorems are implemented into a general purpose FEM program in a way capable of large-scale analysis. The limit state function and its gradient are obtained from a mathematical optimization problem. This direct approach reduces considerably the necessary knowledge of uncertain technological input data, the computing time, and the numerical error, leading to highly effective and precise reliability analyses.},
  subject      = {Finite-Elemente-Methode},
  language  = {en}
}
@article{Staat2001,
  author    = {Staat, Manfred},
  title     = {Cyclic plastic deformation tests to verify FEM-based shakedown analyses},
  year      = {2001},
  abstract  = {Fatigue analyses are conducted with the aim of verifying that thermal ratcheting is limited. To this end it is important to make a clear distintion between the shakedown range and the ratcheting range (continuing deformation). As part of an EU-supported research project, experiments were carried out using a 4-bar model. The experiment comprised a water-cooled internal tube, and three insulated heatable outer test bars. The system was subjected to alternating axial forces, superimposed with alternating temperatures at the outer bars. The test parameters were partly selected on the basis of previous shakedown analyses. During the test, temperatures and strains were measured as a function of time. The loads and the resulting stresses were confirmed on an ongoing basis during performance of the test, and after it. Different material models were applied for this incremental elasto-plastic analysis using the ANSYS program. The results of the simulation are used to verify the FEM-based shakedown analysis.},
  subject      = {Materialerm{\"u}dung},
  language  = {en}
}
@article{Staat2001,
  author    = {Staat, Manfred},
  title     = {LISA - a European project for FEM-based limit and shakedown analysis},
  year      = {2001},
  abstract  = {The load-carrying capacity or the safety against plastic limit states are the central questions in the design of structures and passive components in the apparatus engineering. A precise answer is most simply given by limit and shakedown analysis. These methods can be based on static and kinematic theorems for lower and upper bound analysis. Both may be formulated as optimization problems for finite element discretizations of structures. The problems of large-scale analysis and the extension towards realistic material modelling will be solved in a European research project. Limit and shakedown analyses are briefly demonstrated with illustrative examples.},
  subject      = {Einspielen <Werkstoff>},
  language  = {en}
}
@article{Staat2002,
  author    = {Staat, Manfred},
  title     = {Some Achievements of the European Project LISA for FEM Based Limit and Shakedown Analysis},
  series = {Computational mechanics : developments and applications, 2002 : presented at the 2002 ASME Pressure Vessels and Piping Conference, Vancouver, British Columbia, Canada, August 5 - 9. / Badie, N. [ed]},
  journal   = {Computational mechanics : developments and applications, 2002 : presented at the 2002 ASME Pressure Vessels and Piping Conference, Vancouver, British Columbia, Canada, August 5 - 9. / Badie, N. [ed]},
  publisher = {American Society of Mechanical Engineers},
  address   = {New York},
  isbn      = {0791846520},
  pages     = {177 -- 185},
  year      = {2002},
  language  = {en}
}
@article{StaatHeitzer2002,
  author    = {Staat, Manfred and Heitzer, M.},
  title     = {Limit and Shakedown Analysis with Uncertain Data},
  series = {Stochastic optimization techniques : numerical methods and technical applications / Marti, K. [ed]},
  journal   = {Stochastic optimization techniques : numerical methods and technical applications / Marti, K. [ed]},
  publisher = {Springer},
  address   = {Heidelberg},
  isbn      = {3-540-42889-5},
  pages     = {241 -- 254},
  year      = {2002},
  language  = {en}
}
@inproceedings{StaatHeitzer2002,
  author    = {Staat, Manfred and Heitzer, Michael},
  title     = {The restricted influence of kinematic hardening on shakedown loads},
  year      = {2002},
  abstract  = {Structural design analyses are conducted with the aim of verifying the exclusion of ratcheting. To this end it is important to make a clear distinction between the shakedown range and the ratcheting range. In cyclic plasticity more sophisticated hardening models have been suggested in order to model the strain evolution observed in ratcheting experiments. The hardening models used in shakedown analysis are comparatively simple. It is shown that shakedown analysis can make quite stable predictions of admissible load ranges despite the simplicity of the underlying hardening models. A linear and a nonlinear kinematic hardening model of two-surface plasticity are compared in material shakedown analysis. Both give identical or similar shakedown ranges. Structural shakedown analyses show that the loading may have a more pronounced effect than the hardening model.},
  subject      = {Biomedizinische Technik},
  language  = {en}
}
@article{StaatHeitzerReinersetal.2003,
  author    = {Staat, Manfred and Heitzer, M. and Reiners, H. and Schubert, F.},
  title     = {Shakedown and ratchetting under tension-torsion loadings: analysis and experiments},
  series = {Nuclear Engineering and Design. 225 (2003), H. 1},
  journal   = {Nuclear Engineering and Design. 225 (2003), H. 1},
  isbn      = {0029-5493},
  pages     = {11 -- 26},
  year      = {2003},
  language  = {en}
}
@article{StaatSchwartzLangetal.2003,
  author    = {Staat, Manfred and Schwartz, M. and Lang, H. and Wirtz, K. and Heitzer, M.},
  title     = {Design by Analysis of Pressure Components by non-linear Optimization},
  series = {The 10th International Conference on Pressure Vessel Technology, July 7-10, 2003, Vienna, Austria, Proceedings ICPVT-10 / Zeman, J. L. [ed]},
  journal   = {The 10th International Conference on Pressure Vessel Technology, July 7-10, 2003, Vienna, Austria, Proceedings ICPVT-10 / Zeman, J. L. [ed]},
  publisher = {{\"O}GS, {\"O}sterreichische Gesellschaft f{\"u}r Schweißtechnik},
  address   = {Wien},
  isbn      = {3950152814},
  pages     = {59 -- 65},
  year      = {2003},
  language  = {en}
}
@article{StaatHeitzer2003,
  author    = {Staat, Manfred and Heitzer, M.},
  title     = {Probabilistic limit and shakedown problems},
  series = {Numerical Methods for Limit and Shakedown Analysis. Deterministic and Probabilistic Approach. NIC Series Vol. 15 / Ed. by Staat, M; Heitzer, M.},
  journal   = {Numerical Methods for Limit and Shakedown Analysis. Deterministic and Probabilistic Approach. NIC Series Vol. 15 / Ed. by Staat, M; Heitzer, M.},
  publisher = {John von Neumann Institute for Computing (NIC)},
  address   = {J{\"u}lich},
  isbn      = {3-00-010001-6},
  pages     = {217 -- 268},
  year      = {2003},
  language  = {en}
}
@incollection{StaatHeitzer2003,
  author    = {Staat, Manfred and Heitzer, M.},
  title     = {Basis reduction technique for limit and shakedown problems},
  series = {Numerical Methods for Limit and Shakedown Analysis. Deterministic and Probabilistic Approach. NIC Series Vol. 15 / Ed. by Staat, M.; Heitzer, M.},
  booktitle = {Numerical Methods for Limit and Shakedown Analysis. Deterministic and Probabilistic Approach. NIC Series Vol. 15 / Ed. by Staat, M.; Heitzer, M.},
  publisher = {John von Neumann Institute for Computing (NIC)},
  address   = {J{\"u}lich},
  isbn      = {3-00-010001-6},
  url       = {http://nbn-resolving.de/urn:nbn:de:0001-2018112115},
  pages     = {1 -- 55},
  year      = {2003},
  language  = {en}
}
@article{Staat2003,
  author    = {Staat, Manfred},
  title     = {Shakedown and ratchetting under tension-torsion loadings: analysis and experiments},
  year      = {2003},
  abstract  = {Structural design analyses are conducted with the aim of verifying the exclusion of ratchetting. To this end it is important to make a clear distinction between the shakedown range and the ratchetting range. The performed experiment comprised a hollow tension specimen which was subjected to alternating axial forces, superimposed with constant moments. First, a series of uniaxial tests has been carried out in order to calibrate a bounded kinematic hardening rule. The load parameters have been selected on the basis of previous shakedown analyses with the PERMAS code using a kinematic hardening material model. It is shown that this shakedown analysis gives reasonable agreement between the experimental and the numerical results. A linear and a nonlinear kinematic hardening model of two-surface plasticity are compared in material shakedown analysis.},
  subject      = {Einspielen <Werkstoff>},
  language  = {en}
}
@inproceedings{Staat2003,
  author    = {Staat, Manfred},
  title     = {Design by Analysis of Pressure Components by non-linear Optimization},
  year      = {2003},
  abstract  = {This paper presents the direct route to Design by Analysis (DBA) of the new European pressure vessel standard in the language of limit and shakedown analysis (LISA). This approach leads to an optimization problem. Its solution with Finite Element Analysis is demonstrated for some examples from the DBA-Manual. One observation from the examples is, that the optimisation approach gives reliable and close lower bound solutions leading to simple and optimised design decision.},
  language  = {en}
}
@incollection{StaatHeitzer2003,
  author    = {Staat, Manfred and Heitzer, Michael},
  title     = {Probabilistic limit and shakedown problems},
  series = {Numerical methods for limit and shakedown analysis. Deterministic and probabilistic problems},
  volume    = {15},
  booktitle = {Numerical methods for limit and shakedown analysis. Deterministic and probabilistic problems},
  editor    = {Staat, Manfred and Heitzer, Michael},
  publisher = {John von Neumann Institute for Computing (NIC)},
  address   = {J{\"u}lich},
  isbn      = {3-00-010001-6},
  pages     = {217 -- 268},
  year      = {2003},
  language  = {en}
}
@book{StaatHeitzer2003,
  author    = {Staat, Manfred and Heitzer, Michael},
  title     = {Numerical methods for limit and shakedown analysis. Deterministic and probabilistic problems.},
  publisher = {John von Neumann Institute for Computing (NIC)},
  address   = {J{\"u}lich},
  isbn      = {3-00-010001-6},
  pages     = {2, xiii, 282 Seiten},
  year      = {2003},
  language  = {en}
}
@article{Staat2004,
  author    = {Staat, Manfred},
  title     = {Plastic collapse analysis of longitudinally flawed pipes and vessels},
  series = {Nuclear Engineering and Design. 234 (2004), H. 1-3},
  journal   = {Nuclear Engineering and Design. 234 (2004), H. 1-3},
  isbn      = {0029-5493},
  pages     = {25 -- 43},
  year      = {2004},
  language  = {en}
}
@article{StaatVu2004,
  author    = {Staat, Manfred and Vu, Duc-Khoi},
  title     = {An Algorithm for Shakedown Analysis for Materials with Temperature Dependent Yield Stress},
  series = {Proceedings in Applied Mathematics and Mechanics (PAMM). 4 (2004), H. 1},
  journal   = {Proceedings in Applied Mathematics and Mechanics (PAMM). 4 (2004), H. 1},
  isbn      = {1617-7061},
  pages     = {231 -- 233},
  year      = {2004},
  language  = {en}
}
@article{Staat2004,
  author    = {Staat, Manfred},
  title     = {Plastic collapse analysis of longitudinally flawed pipes and vessels},
  year      = {2004},
  abstract  = {Improved collapse loads of thick-walled, crack containing pipes and vessels are suggested. Very deep cracks have a residual strength which is better modelled by a global limit load. In all burst tests, the ductility of pressure vessel steels was sufficiently high whereby the burst pressure could be predicted by limit analysis with no need to apply fracture mechanics. The relative prognosis error increases however, for long and deep defects due to uncertainties of geometry and strength data.},
  subject      = {Druckbeh{\"a}lter},
  language  = {en}
}
@article{VuStaat2004,
  author    = {Vu, Duc-Khoi and Staat, Manfred},
  title     = {An algorithm for shakedown analysis of structure with temperature dependent yield stress},
  year      = {2004},
  abstract  = {This work is an attempt to answer the question: How to use convex programming in shakedown analysis of structures made of materials with temperature-dependent properties. Based on recently established shakedown theorems and formulations, a dual relationship between upper and lower bounds of the shakedown limit load is found, an algorithmfor shakedown analysis is proposed. While the original problem is neither convex nor concave, the algorithm presented here has the advantage of employing convex programming tools.},
  subject      = {Einspielen <Werkstoff>},
  language  = {en}
}
@article{KuehnHaugnerStaatetal.2004,
  author    = {K{\"u}hn, Raoul-Roman and Haugner, Werner and Staat, Manfred and Sponagel, Stefan},
  title     = {A Two Phase Mixture Model based on Bone Observation},
  year      = {2004},
  abstract  = {An optimization method is developed to describe the mechanical behaviour of the human cancellous bone. The method is based on a mixture theory. A careful observation of the behaviour of the bone material leads to the hypothesis that the bone density is controlled by the principal stress trajectories (Wolff's law). The basic idea of the developed method is the coupling of a scalar value via an eigenvalue problem to the principal stress trajectories. On the one hand this theory will permit a prediction of the reaction of the biological bone structure after the implantation of a prosthesis, on the other hand it may be useful in engineering optimization problems. An analytical example shows its efficiency.},
  subject      = {Knochen},
  language  = {en}
}
@article{StaatHeitzerLangetal.2005,
  author    = {Staat, Manfred and Heitzer, M. and Lang, H. and Wirtz, K.},
  title     = {Direct Finite Element Route for Design-by-Analysis of Pressure Components},
  series = {International Journal of Pressure Vessels and Piping. 82 (2005), H. 1},
  journal   = {International Journal of Pressure Vessels and Piping. 82 (2005), H. 1},
  isbn      = {0308-0161},
  pages     = {61 -- 67},
  year      = {2005},
  language  = {en}
}
@article{Staat2005,
  author    = {Staat, Manfred},
  title     = {Local and global collapse pressure of longitudinally flawed pipes and cylindrical vessels},
  series = {International Journal of Pressure Vessels and Piping. 82 (2005), H. 3},
  journal   = {International Journal of Pressure Vessels and Piping. 82 (2005), H. 3},
  isbn      = {0308-0161},
  pages     = {217 -- 225},
  year      = {2005},
  language  = {en}
}
@article{Staat2005,
  author    = {Staat, Manfred},
  title     = {Local and global collapse pressure of longitudinally flawed pipes and cylindrical vessels},
  year      = {2005},
  abstract  = {Limit loads can be calculated with the finite element method (FEM) for any component, defect geometry, and loading. FEM suggests that published long crack limit formulae for axial defects under-estimate the burst pressure for internal surface defects in thick pipes while limit loads are not conservative for deep cracks and for pressure loaded crack-faces. Very deep cracks have a residual strength, which is modelled by a global collapse load. These observations are combined to derive new analytical local and global collapse loads. The global collapse loads are close to FEM limit analyses for all crack dimensions.},
  subject      = {Finite-Elemente-Methode},
  language  = {en}
}
@article{Staat2005,
  author    = {Staat, Manfred},
  title     = {Direct finite element route for design-by-analysis of pressure components},
  year      = {2005},
  abstract  = {In the new European standard for unfired pressure vessels, EN 13445-3, there are two approaches for carrying out a Design-by-Analysis that cover both the stress categorization method (Annex C) and the direct route method (Annex B) for a check against global plastic deformation and against progressive plastic deformation. This paper presents the direct route in the language of limit and shakedown analysis. This approach leads to an optimization problem. Its solution with Finite Element Analysis is demonstrated for mechanical and thermal actions. One observation from the examples is that the so-called 3f (3Sm) criterion fails to be a reliable check against progressive plastic deformation. Precise conditions are given, which greatly restrict the applicability of the 3f criterion.},
  subject      = {Einspielen <Werkstoff>},
  language  = {en}
}
@article{StaatVu2006,
  author    = {Staat, Manfred and Vu, Khoi Duc},
  title     = {Limit loads of circumferentially flawed pipes and cylindrical vessels under internal pressure},
  series = {International Journal of Pressure Vessels and Piping. 83 (2006), H. 3},
  journal   = {International Journal of Pressure Vessels and Piping. 83 (2006), H. 3},
  isbn      = {0308-0161},
  pages     = {188 -- 196},
  year      = {2006},
  language  = {en}
}
@misc{Staat2006,
  author    = {Staat, Manfred},
  title     = {Engineering Mechanics. Lecture Notes. 2nd edition, translation of the 3rd corrected and extended German edition of "Technische Mechanik"},
  year      = {2006},
  abstract  = {English translation of the corrected lectures notes of Sebastian Kr{\"a}mer. Contents 0 Introduction to Mechanics 1 Statics of Rigid Bodies 2 Elastostatics (Strength of Materials) 3 Kinematics 4 Kinetics Literature},
  subject      = {Technische Mechanik},
  language  = {en}
}
@misc{StaatBarry2006,
  author    = {Staat, Manfred and Barry, Steve},
  title     = {Continuum Mechanics with an Introduction to the Finite Element Method / Steve Barry; Manfred Staat. With extensions by Manfred Staat.},
  year      = {2006},
  abstract  = {Contents: 1 Introduction 2 One Dimensional Continuum Mechanics 3 Tensors 4 Three Dimensional Stress and Strain 5 Conservation Laws 6 Contiunuum Modelling 7 Plain Problems 8 Questions 9 Reference Information},
  subject      = {Technische Mechanik},
  language  = {en}
}
@inproceedings{Staat2006,
  author    = {Staat, Manfred},
  title     = {Problems and chances for probabilistic fracture mechanics in the analysis of steel pressure boundary reliability. - {\"U}berarb. Ausg.},
  year      = {2006},
  abstract  = {In: Technical feasibility and reliability of passive safety systems for nuclear power plants. Proceedings of an Advisory Group Meeting held in J{\"u}lich, 21-24 November 1994. - Vienna , 1996. - Seite: 43 - 55 IAEA-TECDOC-920 Abstract: It is shown that the difficulty for probabilistic fracture mechanics (PFM) is the general problem of the high reliability of a small population. There is no way around the problem as yet. Therefore what PFM can contribute to the reliability of steel pressure boundaries is demon­strated with the example of a typical reactor pressure vessel and critically discussed. Although no method is distinguishable that could give exact failure probabilities, PFM has several addi­tional chances. Upper limits for failure probability may be obtained together with trends for design and operating conditions. Further, PFM can identify the most sensitive parameters, improved control of which would increase reliability. Thus PFM should play a vital role in the analysis of steel pressure boundaries despite all shortcomings.},
  subject      = {Bruchmechanik},
  language  = {en}
}
@article{StaatVu2007,
  author    = {Staat, Manfred and Vu, Duc-Khoi},
  title     = {Limit analysis of flaws in pressurized pipes and cylindrical vessels. Part I: Axial defects},
  series = {Engineering Fracture Mechanics. 74 (2007), H. 3},
  journal   = {Engineering Fracture Mechanics. 74 (2007), H. 3},
  isbn      = {0013-7944},
  pages     = {431 -- 450},
  year      = {2007},
  language  = {en}
}
@article{VuStaatTran2007,
  author    = {Vu, Duc Khoi and Staat, Manfred and Tran, Ich Thinh},
  title     = {Analysis of pressure equipment by application of the primal-dual theory of shakedown},
  series = {Communications in Numerical Methods in Engineering. 23 (2007), H. 3},
  journal   = {Communications in Numerical Methods in Engineering. 23 (2007), H. 3},
  isbn      = {1069-8299},
  pages     = {213 -- 225},
  year      = {2007},
  language  = {en}
}
@article{VuStaat2007,
  author    = {Vu, Duc Khoi and Staat, Manfred},
  title     = {Shakedown analysis of structures made of materials with temperature-dependent yield stress},
  series = {International Journal of Solids and Structures. 44 (2007), H. 13},
  journal   = {International Journal of Solids and Structures. 44 (2007), H. 13},
  isbn      = {0020-7683},
  pages     = {4524 -- 4540},
  year      = {2007},
  language  = {en}
}
@inproceedings{TranStaatKreissig2007,
  author    = {Tran, Thanh Ngoc and Staat, Manfred and Kreißig, R.},
  title     = {Calculation of load carrying capacity of shell structures with elasto-plastic material by direct methods},
  year      = {2007},
  abstract  = {Proceedings of the International Conference on Material Theory and Nonlinear Dynamics. MatDyn. Hanoi, Vietnam, Sept. 24-26, 2007, 8 p. In this paper, a method is introduced to determine the limit load of general shells using the finite element method. The method is based on an upper bound limit and shakedown analysis with elastic-perfectly plastic material model. A non-linear constrained optimisation problem is solved by using Newton's method in conjunction with a penalty method and the Lagrangean dual method. Numerical investigation of a pipe bend subjected to bending moments proves the effectiveness of the algorithm.},
  subject      = {Finite-Elemente-Methode},
  language  = {en}
}
@inproceedings{TranStaatKreissig2007,
  author    = {Tran, Thanh Ngoc and Staat, Manfred and Kreißig, R.},
  title     = {Finite element shakedown and limit reliability analysis of thin shells},
  year      = {2007},
  abstract  = {A procedure for the evaluation of the failure probability of elastic-plastic thin shell structures is presented. The procedure involves a deterministic limit and shakedown analysis for each probabilistic iteration which is based on the kinematical approach and the use the exact Ilyushin yield surface. Based on a direct definition of the limit state function, the non-linear problems may be efficiently solved by using the First and Second Order Reliabiblity Methods (Form/SORM). This direct approach reduces considerably the necessary knowledge of uncertain technological input data, computing costs and the numerical error. In: Computational plasticity / ed. by Eugenio Onate. Dordrecht: Springer 2007. VII, 265 S. (Computational Methods in Applied Sciences ; 7) (COMPLAS IX. Part 1 . International Center for Numerical Methods in Engineering (CIMNE)). ISBN 978-1-402-06576-7 S. 186-189},
  subject      = {Finite-Elemente-Methode},
  language  = {en}
}
@inproceedings{StaatTranPham2008,
  author    = {Staat, Manfred and Tran, Thanh Ngoc and Pham, Phu Tinh},
  title     = {Limit and shakedown reliability analysis by nonlinear programming},
  year      = {2008},
  abstract  = {7th International Conference on Reliability of Materials and Structures (RELMAS 2008). June 17 - 20, 2008 ; Saint Petersburg, Russia. pp 354-358. Reprint with corrections in red Introduction Analysis of advanced structures working under extreme heavy loading such as nuclear power plants and piping system should take into account the randomness of loading, geometrical and material parameters. The existing reliability are restricted mostly to the elastic working regime, e.g. allowable local stresses. Development of the limit and shakedown reliability-based analysis and design methods, exploiting potential of the shakedown working regime, is highly needed. In this paper the application of a new algorithm of probabilistic limit and shakedown analysis for shell structures is presented, in which the loading and strength of the material as well as the thickness of the shell are considered as random variables. The reliability analysis problems may be efficiently solved by using a system combining the available FE codes, a deterministic limit and shakedown analysis, and the First and Second Order Reliability Methods (FORM/SORM). Non-linear sensitivity analyses are obtained directly from the solution of the deterministic problem without extra computational costs.},
  subject      = {Finite-Elemente-Methode},
  language  = {en}
}
@inproceedings{TranPhamStaat2008,
  author    = {Tran, Thanh Ngoc and Pham, Phu Tinh and Staat, Manfred},
  title     = {Reliability analysis of shells based on direct plasticity methods},
  year      = {2008},
  abstract  = {Abstracts der CD-Rom Proceedings of the 8th World Congress on Computational Mechanics (WCCM8) and 5th Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2008) 30.06. - 04.07.2008 Venedig, Italien. 2 Seiten Zusammenfassung der Autoren mit graph. Darst. und Literaturverzeichnis},
  subject      = {Finite-Elemente-Methode},
  language  = {en}
}
@article{StaatBaroudTopcuetal.2008,
  author    = {Staat, Manfred and Baroud, G. and Topcu, M. and Sponagel, Stefan},
  title     = {Soft Materials in Technology and Biology - Characteristics, Properties, and Parameter Identification},
  series = {Bioengineering in Cell and Tissue Research / Artmann, Gerhard M. ; Chien, Shu (Eds.)},
  journal   = {Bioengineering in Cell and Tissue Research / Artmann, Gerhard M. ; Chien, Shu (Eds.)},
  publisher = {Springer},
  address   = {Berlin},
  isbn      = {978-3-540-75408-4},
  pages     = {253 -- 315},
  year      = {2008},
  language  = {en}
}
@article{VantStaatBaroud2008,
  author    = {Vant, Christianne and Staat, Manfred and Baroud, Gamal},
  title     = {Percutaneous Vertebroplasty: A Review of Two Intraoperative Complications},
  series = {Bioengineering in Cell and Tissue Research / Artmann, Gerhard M. ; Chien, Shu (Eds.)},
  journal   = {Bioengineering in Cell and Tissue Research / Artmann, Gerhard M. ; Chien, Shu (Eds.)},
  publisher = {Springer},
  address   = {Berlin},
  isbn      = {978-3-540-75408-4},
  pages     = {527 -- 539},
  year      = {2008},
  language  = {en}
}
@article{TranKreissigVuetal.2008,
  author    = {Tran, Thanh Ngoc and Kreißig, R. and Vu, Duc Khoi and Staat, Manfred},
  title     = {Upper bound limit and shakedown analysis of shells using the exact Ilyushin yield surface},
  series = {Computer \& Structures. 86 (2008)},
  journal   = {Computer \& Structures. 86 (2008)},
  isbn      = {0045-7949},
  pages     = {1683 -- 1695},
  year      = {2008},
  language  = {en}
}
@article{StaatTranKreissig2008,
  author    = {Staat, Manfred and Tran, Thanh Ngoc and Kreißig, R.},
  title     = {Load bearing capacity of thin shell structures made of elastoplastic material by direct methods},
  series = {Technische Mechanik. 28 (2008), H. 3-4},
  journal   = {Technische Mechanik. 28 (2008), H. 3-4},
  pages     = {299 -- 309},
  year      = {2008},
  language  = {en}
}
@article{CiobanuStaatRahimi2008,
  author    = {Ciobanu, Octavian and Staat, Manfred and Rahimi, Alireza},
  title     = {The use of open source software in biomechanical finite element analysis},
  series = {Buletinul Institutului Politehnic din Ia{\c{s}}i / Universitatea Tehnică Gh. Asachi, Ia{\c{s}}i Secţia 5, Construcţii de ma{\c{s}}ini = Machine construction = Bulletin of the Polytechnic Institute of Jassy = Izvestija Jasskogo Politechničeskogo Instituta},
  volume    = {54},
  journal   = {Buletinul Institutului Politehnic din Ia{\c{s}}i / Universitatea Tehnică Gh. Asachi, Ia{\c{s}}i Secţia 5, Construcţii de ma{\c{s}}ini = Machine construction = Bulletin of the Polytechnic Institute of Jassy = Izvestija Jasskogo Politechničeskogo Instituta},
  number    = {7/8},
  issn      = {1011-2855},
  pages     = {213 -- 220},
  year      = {2008},
  language  = {en}
}
@article{TranKreissigStaat2009,
  author    = {Tran, Thanh Ngoc and Kreißig, R. and Staat, Manfred},
  title     = {Probabilistic limit and shakedown analysis of thin plates and shells},
  series = {Structural safety. 31 (2009), H. 1},
  journal   = {Structural safety. 31 (2009), H. 1},
  publisher = {-},
  isbn      = {0167-4730},
  pages     = {1 -- 18},
  year      = {2009},
  language  = {en}
}
@article{TranPhamVuetal.2009,
  author    = {Tran, Thanh Ngoc and Pham, Phu Tinh and Vu, D. K. and Staat, Manfred},
  title     = {Reliability Analysis of Inelastic Shell Structures Under Variable Loads},
  series = {Limit States of Materials and Structures : Direct Methods / Hrsg. Dieter Weichert; Hrsg. Alan Ponter},
  journal   = {Limit States of Materials and Structures : Direct Methods / Hrsg. Dieter Weichert; Hrsg. Alan Ponter},
  publisher = {Springer Netherland},
  address   = {Berlin},
  isbn      = {978-1-4020-9633-4},
  pages     = {135 -- 156},
  year      = {2009},
  language  = {en}
}
@article{UllrichGrottkeRossaintetal.2010,
  author    = {Ullrich, Sebastian and Grottke, Oliver and Rossaint, Rolf and Staat, Manfred and Deserno, Thomas M. and Kuhlen, Torsten},
  title     = {Virtual Needle Simulation with Haptics for Regional Anaesthesia},
  pages     = {1 -- 3},
  year      = {2010},
  language  = {en}
}
@article{NguyenRaatschenStaat2010,
  author    = {Nguyen, N.-H. and Raatschen, Hans-J{\"u}rgen and Staat, Manfred},
  title     = {A hyperelastic model of biological tissue materials in tubular organs},
  pages     = {1 -- 12},
  year      = {2010},
  language  = {en}
}
@article{PhamVuTranetal.2010,
  author    = {Pham, Phu Tinh and Vu, Khoi Duc and Tran, Thanh Ngoc and Staat, Manfred},
  title     = {A primal-dual algorithm for shakedown analysis of elastic-plastic bounded linearly kinematic hardening bodies},
  pages     = {1 -- 7},
  year      = {2010},
  language  = {en}
}
@article{TranStaat2010,
  author    = {Tran, Thanh Ngoc and Staat, Manfred},
  title     = {Shakedown analysis of two dimensional structures by an edge-based smoothed finite element method},
  pages     = {1 -- 7},
  year      = {2010},
  language  = {en}
}
@article{GrottkeBraunschweigPhilippenetal.2010,
  author    = {Grottke, O. and Braunschweig, T. and Philippen, B. and Gatzweiler, Karl-Heinz and Gronloh, N. and Staat, Manfred and Rossaint, R. and Tolba, R.},
  title     = {A New Model for Blunt Liver Injuries in the Swine},
  series = {European Surgical Research. 44 (2010), H. 2},
  journal   = {European Surgical Research. 44 (2010), H. 2},
  isbn      = {1421-9921},
  pages     = {65 -- 73},
  year      = {2010},
  language  = {en}
}
@article{StaatSponagelNguyen2010,
  author    = {Staat, Manfred and Sponagel, Stefan and Nguyen, Nhu Huynh},
  title     = {Experiment and material model for soft tissue materials},
  series = {Constitutive models for rubber VI : proceedings of the sixth European Conference on Constitutive Models for Rubber, Dresden, Germany, 7 - 10 September 2009 / eds. Gert Heinrich ...},
  journal   = {Constitutive models for rubber VI : proceedings of the sixth European Conference on Constitutive Models for Rubber, Dresden, Germany, 7 - 10 September 2009 / eds. Gert Heinrich ...},
  publisher = {CRC Press},
  address   = {Boca Raton [u.a.]},
  isbn      = {978-0-415-56327-7},
  pages     = {465 -- 470},
  year      = {2010},
  language  = {en}
}
@inproceedings{TranNovacekTolbaetal.2011,
  author    = {Tran, Thanh Ngoc and Novacek, V. and Tolba, R. and Klinge, U. and Turquier, F. and Staat, Manfred},
  title     = {Experimental and Computational approach to study colorectal anastomosis. ISB2011, Proceedings of the XXIII Congress of the International Society of Biomechanics, Brussels, Belgium, July 3-7, 2011},
  year      = {2011},
  abstract  = {Summary: This paper presents a methodology to study and understand the mechanics of stapled anastomotic behaviors by combining empirical experimentation and finite element analysis. Performance of stapled anastomosis is studied in terms of leakage and numerical results which are compared to in vitro experiments performed on fresh porcine tissue. Results suggest that leaks occur between the tissue and staple legs penetrating through the tissue.},
  subject      = {Anastomose},
  language  = {en}
}
@article{DoorschodtSchreinemachersBehbahanietal.2011,
  author    = {Doorschodt, B. M. and Schreinemachers, M. C. J. M. and Behbahani, Mehdi and Florquin, S. and Weis, J. and Staat, Manfred and Tolba, R. H.},
  title     = {Hypothermic machine perfusion of kidney grafts: which pressure is preferred},
  series = {Annals of Biomedical Engineering. 39 (2011), H. 3},
  journal   = {Annals of Biomedical Engineering. 39 (2011), H. 3},
  publisher = {Springer},
  address   = {Berlin},
  isbn      = {1573-9686},
  pages     = {1051 -- 1059},
  year      = {2011},
  language  = {en}
}
@article{StaatVu2012,
  author    = {Staat, Manfred and Vu, Duc Khoi},
  title     = {Limit analysis of flaws in pressurized pipes and cylindrical vessels Part II: Circumferential defects},
  series = {Engineering Fracture Mechanics ; 97(2013), H. 1},
  volume    = {97},
  journal   = {Engineering Fracture Mechanics ; 97(2013), H. 1},
  publisher = {Elsevier},
  address   = {Amsterdam},
  issn      = {0013-7944},
  doi       = {10.1016/j.engfracmech.2012.05.017},
  pages     = {314 -- 333},
  year      = {2012},
  abstract  = {Upper and lower bound theorems of limit analyses have been presented in part I of the paper. Part II starts with the finite element discretization of these theorems and demonstrates how both can be combined in a primal-dual optimization problem. This recently proposed numerical method is used to guide the development of a new class of closed-form limit loads for circumferential defects, which show that only large defects contribute to plastic collapse with a rapid loss of strength with increasing crack sizes. The formulae are compared with primal-dual FEM limit analyses and with burst tests. Even closer predictions are obtained with iterative limit load solutions for the von Mises yield function and for the Tresca yield function. Pressure loading of the faces of interior cracks in thick pipes reduces the collapse load of circumferential defects more than for axial flaws. Axial defects have been treated in part I of the paper.},
  language  = {en}
}
@article{StaatTrenzLohmannetal.2012,
  author    = {Staat, Manfred and Trenz, Eva and Lohmann, Philipp and Frotscher, Ralf and Klinge, Uwe and Tabaza, Ruth and Kirschner-Hermanns, Ruth},
  title     = {New measurements to compare soft tissue anchoring systems in pelvic floor surgery},
  series = {Journal of Biomedical Materials Research Part B: Applied Biomaterials},
  volume    = {100B},
  journal   = {Journal of Biomedical Materials Research Part B: Applied Biomaterials},
  number    = {4},
  publisher = {Wiley},
  address   = {Hoboken, NJ},
  issn      = {1552-4981},
  doi       = {10.1002/jbm.b.32654},
  pages     = {924 -- 933},
  year      = {2012},
  abstract  = {Suburethral slings as well as different meshes are widely used treating stress urinary incontinence and prolaps in women. With the development of MiniSlings and special meshes using less alloplastic material anchorage systems become more important to keep devices in place and to put some tension especially on the MiniSlings. To date, there are many different systems of MiniSlings of different companies on the market which differ in the structure of the used meshes and anchors. A new objective measurement method to compare different properties of MiniSling systems (mesh and anchor) is presented in this article. Ballistic gelatine acts as soft tissue surrogate. Significant differences in parameters like pull-out strength of anchors or shrinkage of meshes under loading conditions have been determined. The form and size of the anchors as well as the structural stability of the meshes are decisive for a proper integration. The tested anchorings sytems showed markedly different mechanical function at their respective load bearing capacity. As the stable fixation of the device in tissue is a prerequisite for a permanet reinforcement, the proposed test system permits further optimisation of anchor and mesh devices to improve the success of the surgical treatment},
  language  = {en}
}
@article{NovacekTranKlingeetal.2012,
  author    = {Novacek, V. and Tran, Thanh Ngoc and Klinge, U. and Tolba, R. H. and Staat, Manfred and Bronson, D. G. and Miesse, A. M. and Whiffen, J. and Turquier, F.},
  title     = {Finite element modelling of stapled colorectal end-to-end anastomosis : Advantages of variable height stapler design},
  series = {Journal of Biomechanics},
  volume    = {45},
  journal   = {Journal of Biomechanics},
  number    = {115},
  publisher = {Elsevier},
  address   = {Amsterdam},
  issn      = {1873-2380},
  doi       = {10.1016/j.jbiomech.2012.07.021},
  pages     = {2693 -- 2697},
  year      = {2012},
  abstract  = {The impact of surgical staplers on tissues has been studied mostly in an empirical manner. In this paper, finite element method was used to clarify the mechanics of tissue stapling and associated phenomena. Various stapling modalities and several designs of circular staplers were investigated to evaluate the impact of the device on tissues and mechanical performance of the end-to-end colorectal anastomosis. Numerical simulations demonstrated that a single row of staples is not adequate to resist leakage due to non-linear buckling and opening of the tissue layers between two adjacent staples. Compared to the single staple row configuration, significant increase in stress experienced by the tissue at the inner staple rows was observed in two and three rows designs. On the other hand, adding second and/or third staple row had no effect on strain in the tissue inside the staples. Variable height design with higher staples in outer rows significantly reduced the stresses and strains in outer rows when compared to the same configuration with flat cartridge.},
  language  = {en}
}
@article{NguyenDuongTranetal.2012,
  author    = {Nguyen, Nhu Huynh and Duong, Minh Tuan and Tran, Thanh Ngoc and Pham, Phu Tinh and Grottke, O. and Tolba, R. and Staat, Manfred},
  title     = {Influence of a freeze-thaw cycle on the stress-stretch curves of tissues of porcine abdominal organs},
  series = {Journal of Biomechanics},
  volume    = {45},
  journal   = {Journal of Biomechanics},
  number    = {14},
  publisher = {Elsevier},
  address   = {Amsterdam},
  issn      = {1873-2380},
  doi       = {10.1016/j.jbiomech.2012.07.008},
  pages     = {2382 -- 2386},
  year      = {2012},
  abstract  = {The paper investigates both fresh porcine spleen and liver and the possible decomposition of these organs under a freeze-thaw cycle. The effect of tissue preservation condition is an important factor which should be taken into account for protracted biomechanical tests. In this work, tension tests were conducted for a large number of tissue specimens from twenty pigs divided into two groups of 10. Concretely, the first group was tested in fresh state; the other one was tested after a freeze-thaw cycle which simulates the conservation conditions before biomechanical experiments. A modified Fung model for isotropic behavior was adopted for the curve fitting of each kind of tissues. Experimental results show strong effects of the realistic freeze-thaw cycle on the capsule of elastin-rich spleen but negligible effects on the liver which virtually contains no elastin. This different behavior could be explained by the autolysis of elastin by elastolytic enzymes during the warmer period after thawing. Realistic biomechanical properties of elastin-rich organs can only be expected if really fresh tissue is tested. The observations are supported by tests of intestines.},
  language  = {en}
}
@article{HasanKeilStaatetal.2012,
  author    = {Hasan, Istabrak and Keil, Ludger and Staat, Manfred and Wahl, Gerhard and Bourauel, Christoph},
  title     = {Determination of the frictional coefficient of the implant-antler interface : experimental approach},
  series = {Biomedical Engineering / Biomedizinische Technik},
  volume    = {57},
  journal   = {Biomedical Engineering / Biomedizinische Technik},
  number    = {5},
  publisher = {De Gruyter},
  address   = {Berlin},
  issn      = {1862-278X},
  pages     = {359 -- 363},
  year      = {2012},
  abstract  = {The similar bone structure of reindeer antler to human bone permits studying the osseointegration of dental implants in the jawbone. As the friction is one of the major factors that have a significant influence on the initial stability of immediately loaded dental implants, it is essential to define the frictional coefficient of the implant-antler interface. In this study, the kinetic frictional forces at the implant-antler interface were measured experimentally using an optomechanical setup and a stepping motor controller under different axial loads and sliding velocities. The corresponding mean values of the static and kinetic frictional coefficients were within the range of 0.5-0.7 and 0.3-0.5, respectively. An increase in the frictional forces with increasing applied axial loads was registered. The measurements showed an evidence of a decrease in the magnitude of the frictional coefficient with increasing sliding velocity. The results of this study provide a considerable assessment to clarify the suitable frictional coefficient to be used in the finite element contact analysis of antler specimens.},
  language  = {en}
}
@inproceedings{FrotscherRaatschenStaat2012,
  author    = {Frotscher, Ralf and Raatschen, Hans-J{\"u}rgen and Staat, Manfred},
  title     = {Application of an edge-based smoothed finite element method on geometrically non-linear plates of non-linear material},
  series = {Proceedings European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2012)},
  booktitle = {Proceedings European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2012)},
  editor    = {Eberhardsteiner, J.},
  year      = {2012},
  language  = {en}
}
@inproceedings{DuongNguyenStaat2012,
  author    = {Duong, Minh Tuan and Nguyen, Nhu Huynh and Staat, Manfred},
  title     = {Numerical stability enhancement of modeling hyperelastic materials},
  series = {Proceedings European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2012)},
  booktitle = {Proceedings European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2012)},
  editor    = {Eberhardsteiner, J.},
  year      = {2012},
  language  = {en}
}
@inproceedings{TranStaat2012,
  author    = {Tran, Thanh Ngoc and Staat, Manfred},
  title     = {A primal-dual shakedown analysis of 3D structures using the face-based smoothed finite element method},
  series = {Proceedings European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2012)},
  booktitle = {Proceedings European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2012)},
  editor    = {Eberhardsteiner, J.},
  year      = {2012},
  language  = {en}
}
@inproceedings{PhamNguyenStaat2012,
  author    = {Pham, Phu Tinh and Nguyen, Thanh Ngoc and Staat, Manfred},
  title     = {FEM based shakedown analysis of hardening structures},
  series = {Proceedings International Conference on Advances in Computational Mechanics (ACOME)},
  booktitle = {Proceedings International Conference on Advances in Computational Mechanics (ACOME)},
  pages     = {870 -- 882},
  year      = {2012},
  language  = {en}
}
@inproceedings{FrotscherRaatschenStaat2012,
  author    = {Frotscher, Ralf and Raatschen, Hans-J{\"u}rgen and Staat, Manfred},
  title     = {Effectiveness of the edge-based smoothed finite element method applied to soft biological tissues},
  series = {ESMC-2012 - 8th European Solid Mechanics Conference, Graz, Austria, July 9-13, 2012},
  booktitle = {ESMC-2012 - 8th European Solid Mechanics Conference, Graz, Austria, July 9-13, 2012},
  editor    = {Holzapfel, Gerhard A.},
  publisher = {Verlag d. Technischen Universit{\"a}t Graz},
  address   = {Graz},
  isbn      = {978-3-85125-223-1},
  year      = {2012},
  language  = {en}
}
@inproceedings{DuongNguyenStaat2012,
  author    = {Duong, Minh Tuan and Nguyen, Nhu Hunyh and Staat, Manfred},
  title     = {Finite Element Implementation of a 3D Fung-type Model},
  series = {ESMC-2012 - 8th European Solid Mechanics Conference, Graz, Austria, July 9-13, 2012},
  booktitle = {ESMC-2012 - 8th European Solid Mechanics Conference, Graz, Austria, July 9-13, 2012},
  publisher = {Verlag d. Technischen Universit{\"a}t Graz},
  address   = {Graz},
  isbn      = {978-3-85125-223-1},
  year      = {2012},
  language  = {en}
}
@article{Staat2012,
  author    = {Staat, Manfred},
  title     = {Limit and shakedown analysis under uncertainty},
  series = {Tap chi Khoa hoc \& ung dung - Dai hoc Ton Duc Thang},
  volume    = {19},
  journal   = {Tap chi Khoa hoc \& ung dung - Dai hoc Ton Duc Thang},
  pages     = {45 -- 47},
  year      = {2012},
  language  = {en}
}
@article{PhamStaat2013,
  author    = {Pham, Phu Tinh and Staat, Manfred},
  title     = {An Upper Bound Algorithm for Limit and Shakedown Analysis of Bounded Linearly Kinematic Hardening Structures},
  series = {Limit State of Materials and Structures : Direct Methods 2. Saxc{\´e}, G{\´e}ry de (Hrsg.)},
  journal   = {Limit State of Materials and Structures : Direct Methods 2. Saxc{\´e}, G{\´e}ry de (Hrsg.)},
  publisher = {Springer},
  address   = {Dordrecht},
  isbn      = {978-94-007-5424-9},
  pages     = {71 -- 87},
  year      = {2013},
  language  = {en}
}
@article{TranStaat2013,
  author    = {Tran, Thanh Ngoc and Staat, Manfred},
  title     = {An Edge-Based Smoothed Finite Element Method for Primal-Dual Shakedown Analysis of Structures Under Uncertainties},
  series = {Limit State of Materials and Structures : Direct Methods 2. Saxc{\´e}, G{\´e}ry de (Hrsg.)},
  journal   = {Limit State of Materials and Structures : Direct Methods 2. Saxc{\´e}, G{\´e}ry de (Hrsg.)},
  publisher = {Springer},
  address   = {Dordrecht},
  isbn      = {978-94-007-5424-9},
  pages     = {89 -- 102},
  year      = {2013},
  language  = {en}
}
@article{Staat2013,
  author    = {Staat, Manfred},
  title     = {Limit and shakedown analysis under uncertainty},
  series = {International journal of computational methods : IJCM},
  journal   = {International journal of computational methods : IJCM},
  publisher = {World Scientific Publishing},
  address   = {Singapore},
  issn      = {0219-8762},
  pages     = {Publ. online},
  year      = {2013},
  language  = {en}
}
@inproceedings{FrotscherGossmannTemizArtmannetal.2013,
  author    = {Frotscher, Ralf and Goßmann, Matthias and Temiz Artmann, Ayseg{\"u}l and Staat, Manfred},
  title     = {Simulation of cardiac cell-seeded membranes using the edge-based smoothed FEM},
  series = {1st International Conference "Shell and Membrane Theories in Mechanics and Biology: From Macro- to Nanoscale Structures", Minsk, Belarus, Sept. 16-20, 2013},
  booktitle = {1st International Conference "Shell and Membrane Theories in Mechanics and Biology: From Macro- to Nanoscale Structures", Minsk, Belarus, Sept. 16-20, 2013},
  publisher = {Verl. d. Weißruss. Staatl. Univ.},
  address   = {Minsk},
  organization    = {International Conference Shell and Membrane Theories in Mechanics and Biology: From Macro- to Nanoscale Structures <1, 2013, Minsk>},
  isbn      = {978-985-553-135-8},
  pages     = {165 -- 167},
  year      = {2013},
  language  = {en}
}
@article{JungStaatMueller2013,
  author    = {Jung, Alexander and Staat, Manfred and M{\"u}ller, Wolfram},
  title     = {Flight style optimization in ski jumping on normal, large, and ski flying hills},
  series = {Journal of biomechanics},
  volume    = {Vol. 47},
  journal   = {Journal of biomechanics},
  number    = {Iss. 3},
  publisher = {Elsevier},
  address   = {Amsterdam},
  issn      = {1873-2380 (E-Journal); 0021-9290 (Print)},
  pages     = {716 -- 722},
  year      = {2013},
  language  = {en}
}
@article{AndingTabazaStaatetal.2013,
  author    = {Anding, Ralf and Tabaza, Ruth and Staat, Manfred and Trenz, Eva and Lohmann, Philipp and Klinge, Uwe and Kirschner-Hermanns, Ruth},
  title     = {Introducing a method of in vitro testing of different anchoring systems used for female incontinence and prolapse surgery},
  series = {BioMed research international},
  volume    = {Vol. 2013},
  journal   = {BioMed research international},
  issn      = {1110-7251 (E-Journal); 2314-6141 (E-Journal); 1110-7243 (Print); 2314-6133 (Print)},
  pages     = {Article ID 401417},
  year      = {2013},
  language  = {en}
}
@incollection{TranStaat2014,
  author    = {Tran, Thanh Ngoc and Staat, Manfred},
  title     = {Shakedown analysis of Reissner-Mindlin plates using the edge-based smoothed finite element method},
  series = {Direct methods for limit states in structures and materials / Dieter Weichert ; Alan Ponter, ed.},
  booktitle = {Direct methods for limit states in structures and materials / Dieter Weichert ; Alan Ponter, ed.},
  publisher = {Springer},
  address   = {Dordrecht [u.a.]},
  isbn      = {978-94-007-6826-0 (Print) 978-94-007-6827-7 (Online)},
  doi       = {10.1007/978-94-007-6827-7_5},
  pages     = {101 -- 117},
  year      = {2014},
  abstract  = {This paper concerns the development of a primal-dual algorithm for limit and shakedown analysis of Reissner-Mindlin plates made of von Mises material. At each optimization iteration, the lower bound of the shakedown load multiplier is calculated simultaneously with the upper bound using the duality theory. An edge-based smoothed finite element method (ES-FEM) combined with the discrete shear gap (DSG) technique is used to improve the accuracy of the solutions and to avoid the transverse shear locking behaviour. The method not only possesses all inherent features of convergence and accuracy from ES-FEM, but also ensures that the total number of variables in the optimization problem is kept to a minimum compared with the standard finite element formulation. Numerical examples are presented to demonstrate the effectiveness of the present method.},
  language  = {en}
}
@inproceedings{FrotscherKochRaatschenetal.2014,
  author    = {Frotscher, Ralf and Koch, Jan-Peter and Raatschen, Hans-J{\"u}rgen and Staat, Manfred},
  title     = {Evaluation of a computational model for drug action on cardiac tissue},
  series = {11th World Congress on Computational Mechanics (WCCM XI) ; 5th European Conference on Computational Mechanics (ECCM V) ; 6th European Conference on Computational Fluid Dynamics (ECFD VI) ; July 20 - 25, 2014, Barcelona},
  booktitle = {11th World Congress on Computational Mechanics (WCCM XI) ; 5th European Conference on Computational Mechanics (ECCM V) ; 6th European Conference on Computational Fluid Dynamics (ECFD VI) ; July 20 - 25, 2014, Barcelona},
  editor    = {Onate, E.},
  organization    = {World Congress on Computational Mechanics <11, 2014, Barcelona>},
  pages     = {1 -- 12},
  year      = {2014},
  language  = {en}
}
@inproceedings{JungStaatMueller2014,
  author    = {Jung, Alexander and Staat, Manfred and M{\"u}ller, Wolfram},
  title     = {Optimization of the flight style in ski jumping},
  series = {11th World Congress on Computational Mechanics (WCCM XI) ; 5th European Conference on Computational Mechanics (ECCM V) ; 6th European Conference on Computational Fluid Dynamics (ECFD VI) ; July 20 - 25, 2014, Barcelona},
  booktitle = {11th World Congress on Computational Mechanics (WCCM XI) ; 5th European Conference on Computational Mechanics (ECCM V) ; 6th European Conference on Computational Fluid Dynamics (ECFD VI) ; July 20 - 25, 2014, Barcelona},
  editor    = {Onate, E.},
  organization    = {World Congress on Computational Mechanics <11, 2014, Barcelona>},
  pages     = {799 -- 810},
  year      = {2014},
  language  = {en}
}
@inproceedings{BhattaraiFrotscherSoraetal.2014,
  author    = {Bhattarai, Aroj and Frotscher, Ralf and Sora, M.-C. and Staat, Manfred},
  title     = {A 3D finite element model of the female pelvic floor for the reconstruction of urinary incontinence},
  series = {11th World Congress on Computational Mechanics (WCCM XI) ; 5th European Conference on Computational Mechanics (ECCM V) ; 6th European Conference on Computational Fluid Dynamics (ECFD VI) ; July 20-25, 2014, Barcelona},
  booktitle = {11th World Congress on Computational Mechanics (WCCM XI) ; 5th European Conference on Computational Mechanics (ECCM V) ; 6th European Conference on Computational Fluid Dynamics (ECFD VI) ; July 20-25, 2014, Barcelona},
  editor    = {Onate, E.},
  organization    = {World Congress on Computational Mechanics <11, 2014, Barcelona>},
  pages     = {1 -- 12},
  year      = {2014},
  language  = {en}
}
@inproceedings{TranStaat2014,
  author    = {Tran, Thanh Ngoc and Staat, Manfred},
  title     = {Uncertain multimode failure and limit analysis of shells},
  series = {11th World Congress on Computational Mechanics (WCCM XI) ; 5th European Conference on Computational Mechanics (ECCM V) ; 6th European Conference on Computational Fluid Dynamics (ECFD VI) ; July 20-25, 2014, Barcelona},
  booktitle = {11th World Congress on Computational Mechanics (WCCM XI) ; 5th European Conference on Computational Mechanics (ECCM V) ; 6th European Conference on Computational Fluid Dynamics (ECFD VI) ; July 20-25, 2014, Barcelona},
  editor    = {Onate, E.},
  organization    = {World Congress on Computational Mechanics <11, 2014, Barcelona>},
  pages     = {1 -- 12},
  year      = {2014},
  language  = {en}
}
@inproceedings{DuongStaat2014,
  author    = {Duong, Minh Tuan and Staat, Manfred},
  title     = {A face-based smoothed finite element method for hyperelastic models and tissue growth},
  series = {11th World Congress on Computational Mechanics (WCCM XI) ; 5th European Conference on Computational Mechanics (ECCM V) ; 6th European Conference on Computational Fluid Dynamics (ECFD VI) ; July 20-25, 2014, Barcelona},
  booktitle = {11th World Congress on Computational Mechanics (WCCM XI) ; 5th European Conference on Computational Mechanics (ECCM V) ; 6th European Conference on Computational Fluid Dynamics (ECFD VI) ; July 20-25, 2014, Barcelona},
  editor    = {Onate, E.},
  organization    = {World Congress on Computational Mechanics <11, 2014, Barcelona>},
  pages     = {1 -- 12},
  year      = {2014},
  language  = {en}
}
@inproceedings{TranStaatStavroulakis2014,
  author    = {Tran, Ngoc Trinh and Staat, Manfred and Stavroulakis, G. E.},
  title     = {A multicriteria method for truss optimization},
  series = {11th World Congress on Computational Mechanics (WCCM XI) ; 5th European Conference on Computational Mechanics (ECCM V) ; 6th European Conference on Computational Fluid Dynamics (ECFD VI) ; July 20-25, 2014, Barcelona},
  booktitle = {11th World Congress on Computational Mechanics (WCCM XI) ; 5th European Conference on Computational Mechanics (ECCM V) ; 6th European Conference on Computational Fluid Dynamics (ECFD VI) ; July 20-25, 2014, Barcelona},
  editor    = {Onate, E.},
  organization    = {World Congress on Computational Mechanics <11, 2014, Barcelona>},
  pages     = {1 -- 12},
  year      = {2014},
  language  = {en}
}
@article{PhamStaat2014,
  author    = {Pham, Phu Tinh and Staat, Manfred},
  title     = {FEM-based shakedown analysis of hardening structures},
  series = {Asia Pacific journal on computational engineering},
  journal   = {Asia Pacific journal on computational engineering},
  number    = {1},
  publisher = {SpringerOpen},
  address   = {Berlin},
  issn      = {2196-1166 (E-Journal)},
  doi       = {10.1186/2196-1166-1-4},
  pages     = {Article No. 4},
  year      = {2014},
  abstract  = {This paper develops a new finite element method (FEM)-based upper bound algorithm for limit and shakedown analysis of hardening structures by a direct plasticity method. The hardening model is a simple two-surface model of plasticity with a fixed bounding surface. The initial yield surface can translate inside the bounding surface, and it is bounded by one of the two equivalent conditions: (1) it always stays inside the bounding surface or (2) its centre cannot move outside the back-stress surface. The algorithm gives an effective tool to analyze the problems with a very high number of degree of freedom. Our numerical results are very close to the analytical solutions and numerical solutions in literature.},
  language  = {en}
}
@article{FrotscherStaat2014,
  author    = {Frotscher, Ralf and Staat, Manfred},
  title     = {Stresses produced by different textile mesh implants in a tissue equivalent},
  series = {BioNanoMaterials},
  volume    = {15},
  journal   = {BioNanoMaterials},
  number    = {1-2},
  publisher = {De Gruyter},
  address   = {Berlin},
  issn      = {2191-4672 (E-Journal); 2193-066X (E-Journal); 0011-8656 (Print); 1616-0177 (Print); 2193-0651 (Print)},
  doi       = {10.1515/bnm-2014-0003},
  pages     = {25 -- 30},
  year      = {2014},
  abstract  = {Two single-incision mini-slings used for treating urinary incontinence in women are compared with respect to the stresses they produce in their surrounding tissue. In an earlier paper we experimentally observed that these implants produce considerably different stress distributions in a muscle tissue equivalent. Here we perform 2D finite element analyses to compare the shear stresses and normal stresses in the tissue equivalent for the two meshes and to investigate their failure behavior. The results clearly show that the Gynecare TVT fails for increasing loads in a zipper-like manner because it gradually debonds from the surrounding tissue. Contrary to that, the tissue at the ends of the DynaMesh-SIS direct may rupture but only at higher loads. The simulation results are in good agreement with the experimental observations thus the computational model helps to interpret the experimental results and provides a tool for qualitative evaluation of mesh implants.},
  language  = {en}
}
@incollection{KnottSofroniaGerressenetal.2014,
  author    = {Knott, Thomas C. and Sofronia, Raluca E. and Gerressen, Marcus and Law, Yuen and Davidescu, Arjana and Savii, George G. and Gatzweiler, Karl-Heinz and Staat, Manfred and Kuhlen, Torsten W.},
  title     = {Preliminary bone sawing model for a virtual reality-based training simulator of bilateral sagittal split osteotomy},
  series = {Biomedical simulation : 6th International Symposium, ISBMS 2014, Strasbourg, France, October 16-17, 2014 : proceedings (Lecture notes in computer science : vol. 8789)},
  booktitle = {Biomedical simulation : 6th International Symposium, ISBMS 2014, Strasbourg, France, October 16-17, 2014 : proceedings (Lecture notes in computer science : vol. 8789)},
  publisher = {Springer},
  address   = {Cham},
  isbn      = {978-3-319-12057-7 (Online)},
  doi       = {10.1007/978-3-319-12057-7_1},
  pages     = {1 -- 10},
  year      = {2014},
  abstract  = {Successful bone sawing requires a high level of skill and experience, which could be gained by the use of Virtual Reality-based simulators. A key aspect of these medical simulators is realistic force feedback. The aim of this paper is to model the bone sawing process in order to develop a valid training simulator for the bilateral sagittal split osteotomy, the most often applied corrective surgery in case of a malposition of the mandible. Bone samples from a human cadaveric mandible were tested using a designed experimental system. Image processing and statistical analysis were used for the selection of four models for the bone sawing process. The results revealed a polynomial dependency between the material removal rate and the applied force. Differences between the three segments of the osteotomy line and between the cortical and cancellous bone were highlighted.},
  language  = {en}
}
@incollection{FrotscherGossmannRaatschenetal.2015,
  author    = {Frotscher, Ralf and Goßmann, Matthias and Raatschen, Hans-J{\"u}rgen and Temiz Artmann, Ayseg{\"u}l and Staat, Manfred},
  title     = {Simulation of cardiac cell-seeded membranes using the edge-based smoothed FEM},
  series = {Shell and membrane theories in mechanics and biology. (Advanced structured materials ; 45)},
  booktitle = {Shell and membrane theories in mechanics and biology. (Advanced structured materials ; 45)},
  publisher = {Springer},
  address   = {Heidelberg},
  isbn      = {978-3-319-02534-6 ; 978-3-319-02535-3},
  pages     = {187 -- 212},
  year      = {2015},
  abstract  = {We present an electromechanically coupled Finite Element model for cardiac tissue. It bases on the mechanical model for cardiac tissue of Hunter et al. that we couple to the McAllister-Noble-Tsien electrophysiological model of purkinje fibre cells. The corresponding system of ordinary differential equations is implemented on the level of the constitutive equations in a geometrically and physically nonlinear version of the so-called edge-based smoothed FEM for plates. Mechanical material parameters are determined from our own pressure-deflection experimental setup. The main purpose of the model is to further examine the experimental results not only on mechanical but also on electrophysiological level down to ion channel gates. Moreover, we present first drug treatment simulations and validate the model with respect to the experiments.},
  language  = {en}
}