@inproceedings{NixFrotscherStaat2012,
  author    = {Nix, Yvonne and Frotscher, Ralf and Staat, Manfred},
  title     = {Implementation of the edge-based smoothed extended finite element method},
  series = {Proceedings 6th European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2012) Vienna, Austria, September 10-14, 2012},
  booktitle = {Proceedings 6th European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2012) Vienna, Austria, September 10-14, 2012},
  editor    = {Eberhardsteiner, J.},
  year      = {2012},
  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{Staat2012,
  author    = {Staat, Manfred},
  title     = {Limit and shakedown analysis under uncertainty},
  series = {Proceedings International Conference on Advances in Computational Mechanics (ACOME)},
  booktitle = {Proceedings International Conference on Advances in Computational Mechanics (ACOME)},
  pages     = {837 -- 861},
  year      = {2012},
  language  = {de}
}
@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{LindenFischoederLaacketal.2013,
  author    = {Linden, A. and Fisch{\"o}der, M. and Laack, Walter van and Staat, Manfred},
  title     = {Einschr{\"a}nkung von Taluskippung und -vorschub durch Sprunggelenkorthesen nach fibularer Bandruptur},
  series = {OUP Zeitschrift f{\"u}r die orthop{\"a}dische und unfallchirurgische Praxis},
  volume    = {2},
  journal   = {OUP Zeitschrift f{\"u}r die orthop{\"a}dische und unfallchirurgische Praxis},
  number    = {6},
  publisher = {Deutscher {\"A}rzte-Verl.},
  address   = {K{\"o}ln},
  isbn      = {2193-5785},
  doi       = {10.3238/oup.2013.0306-0309},
  pages     = {306 -- 309},
  year      = {2013},
  abstract  = {Die fibulare Bandruptur z{\"a}hlt zu einer der am h{\"a}ufigsten auftretenden Verletzungen des Bewegungsapparats. In den meisten F{\"a}llen wird heute die konservativ fr{\"u}hfunktionelle Therapie mit Sprunggelenkorthesen allgemein bevorzugt. Im Rahmen der vorliegenden Studie wurden 14 verschiedene Sprunggelenkorthesen im Hinblick auf ihre Einschr{\"a}nkung von Taluskippung und Talusvorschub untersucht. Zur Simulation einer fibularen Bandruptur wurde ein Unterschenkelmodell aus Holz mit Fußteil, mit angelegten Orthesen in einen Scheuba-Halteapparat eingespannt und mit 150 N seitlich sowie anterior-posterior belastet. Anhand der erstellten "gehaltenen" R{\"o}ntgenaufnahmen konnten Taluskippung und Talusvorschub jeder einzelnen Orthese eindeutig bestimmt werden. Die meisten Orthesen erreichten zufriedenstellende Ergebnisse. Es stellte sich heraus, dass vor allem eine eng anliegende, im Gelenkbereich anatomisch angepasste Form vorteilhaft zu sein scheint.},
  language  = {de}
}
@article{LaackLeversStaat2013,
  author    = {Laack, Walter van and Levers, A. and Staat, Manfred},
  title     = {Gonarthrosetherapie auf Kernspinresonanzbasis mit MBST-Vierjahresbeobachtungen},
  series = {Orthop{\"a}dische Nachrichten : Zeitung f{\"u}r Orthop{\"a}die und Unfallchirurgie. 2013, H. 7/8},
  journal   = {Orthop{\"a}dische Nachrichten : Zeitung f{\"u}r Orthop{\"a}die und Unfallchirurgie. 2013, H. 7/8},
  publisher = {Biermann},
  address   = {K{\"o}ln},
  issn      = {1437-2193},
  pages     = {13},
  year      = {2013},
  language  = {de}
}
@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}
}
@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{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}
}
@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{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{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}
}