@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} } @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} }