@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}
}
@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}
}
@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{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}
}
@inproceedings{BhattaraiStaat2016,
  author    = {Bhattarai, Aroj and Staat, Manfred},
  title     = {Female pelvic floor dysfunction: progress weakening of the support system},
  series = {1st YRA MedTech Symposium 2016 : April 8th / 2016 / University of Duisburg-Essen},
  booktitle = {1st YRA MedTech Symposium 2016 : April 8th / 2016 / University of Duisburg-Essen},
  editor    = {Erni, Daniel},
  publisher = {Universit{\"a}t Duisburg-Essen},
  address   = {Duisburg},
  organization    = {MedTech Symposium},
  doi       = {10.17185/duepublico/40821},
  pages     = {11 -- 12},
  year      = {2016},
  abstract  = {The structure of the female pelvic floor (PF) is an inter-related system of bony pelvis,muscles, pelvic organs, fascias, ligaments, and nerves with multiple functions. Mechanically, thepelvic organ support system are of two types: (I) supporting system of the levator ani (LA) muscle,and (II) the suspension system of the endopelvic fascia condensation [1], [2]. Significantdenervation injury to the pelvic musculature, depolimerization of the collagen fibrils of the softvaginal hammock, cervical ring and ligaments during pregnancy and vaginal delivery weakens thenormal functions of the pelvic floor. Pelvic organ prolapse, incontinence, sexual dysfunction aresome of the dysfunctions which increases progressively with age and menopause due toweakened support system according to the Integral theory [3]. An improved 3D finite elementmodel of the female pelvic floor as shown in Fig. 1 is constructed that: (I) considers the realisticsupport of the organs to the pelvic side walls, (II) employs the improvement of our previous FEmodel [4], [5] along with the patient based geometries, (III) incorporates the realistic anatomy andboundary conditions of the endopelvic (pubocervical and rectovaginal) fascia, and (IV) considersvarying stiffness of the endopelvic fascia in the craniocaudal direction [3]. Several computationsare carried out on the presented computational model with healthy and damaged supportingtissues, and comparisons are made to understand the physiopathology of the female PF disorders.},
  language  = {en}
}
@inproceedings{TranTranMatthiesetal.2016,
  author    = {Tran, Ngoc Trinh and Tran, Thanh Ngoc and Matthies, Hermann G. and Stavroulakis, Georgios Eleftherios and Staat, Manfred},
  title     = {FEM Shakedown of uncertain structures by chance constrained programming},
  series = {PAMM Proceedings in Applied Mathematics and Mechanics},
  volume    = {16},
  booktitle = {PAMM Proceedings in Applied Mathematics and Mechanics},
  number    = {1},
  issn      = {1617-7061},
  doi       = {10.1002/pamm.201610346},
  pages     = {715 -- 716},
  year      = {2016},
  language  = {en}
}
@inproceedings{TranStaat2021,
  author    = {Tran, Ngoc Trinh and Staat, Manfred},
  title     = {FEM shakedown analysis of Kirchhoff-Love plates under uncertainty of strength},
  series = {Proceedings of UNCECOMP 2021},
  booktitle = {Proceedings of UNCECOMP 2021},
  isbn      = {978-618-85072-6-5},
  doi       = {10.7712/120221.8041.19047},
  pages     = {323 -- 338},
  year      = {2021},
  abstract  = {A new formulation to calculate the shakedown limit load of Kirchhoff plates under stochastic conditions of strength is developed. Direct structural reliability design by chance con-strained programming is based on the prescribed failure probabilities, which is an effective approach of stochastic programming if it can be formulated as an equivalent deterministic optimization problem. We restrict uncertainty to strength, the loading is still deterministic. A new formulation is derived in case of random strength with lognormal distribution. Upper bound and lower bound shakedown load factors are calculated simultaneously by a dual algorithm.},
  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{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}
}
@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}
}