%0 Conference Paper %1 frotscher2012raatschen %A Frotscher, Ralf %A Raatschen, Hans-Jürgen %A Staat, Manfred %B Proceedings European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2012) Vienna, Austria, September 10-14, 2012 %D 2012 %E Eberhardsteiner, Josef %E Böhm, Helmut J. %E Rammerstorfer, Franz G. %K SFEM,strain element finite method plates,smoothed smoothing %P 2928--2936 %T Application of an edge-based smoothed finite element method on geometrically non-linear plates of non-linear material %X In this paper we describe our implementation of the edge-based smoothed finite element method (ES-FEM) for physically and geometrically nonlinear problems in the finite element software Code Aster. The implementation works for linear triangular elements. We apply our implementation to linear and geometrically and materially nonlinear problems. We compare the simulation results obtained by this method with those obtained with standard FEM using linear triangular and quadrilateral elements. The results show that the accuracy of the solutions achieved with ES-FEM using linear triangular elements are comparable with those of standard FEM using quadrilateral elements. ES-FEM is especially very useful regarding large deformation problems because it has the ability to work with largely distorted meshes and naturally avoids shear locking. These facts lead to a high computational efficiency and low computational costs.

@inproceedings{frotscher2012raatschen, abstract = {In this paper we describe our implementation of the edge-based smoothed finite element method (ES-FEM) for physically and geometrically nonlinear problems in the finite element software Code Aster. The implementation works for linear triangular elements. We apply our implementation to linear and geometrically and materially nonlinear problems. We compare the simulation results obtained by this method with those obtained with standard FEM using linear triangular and quadrilateral elements. The results show that the accuracy of the solutions achieved with ES-FEM using linear triangular elements are comparable with those of standard FEM using quadrilateral elements. ES-FEM is especially very useful regarding large deformation problems because it has the ability to work with largely distorted meshes and naturally avoids shear locking. These facts lead to a high computational efficiency and low computational costs.}, added-at = {2019-12-23T09:34:32.000+0100}, author = {Frotscher, Ralf and Raatschen, Hans-J{\"{u}}rgen and Staat, Manfred}, biburl = {https://www.bibsonomy.org/bibtex/22a7c4ff650e0e908ec572dfb91dcfc33/staat}, booktitle = {Proceedings European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2012) Vienna, Austria, September 10-14, 2012}, editor = {Eberhardsteiner, Josef and B{\"{o}}hm, Helmut J. and Rammerstorfer, Franz G.}, interhash = {61c09bbdc9b12d07c38fecb796866ce5}, intrahash = {2a7c4ff650e0e908ec572dfb91dcfc33}, keywords = {SFEM,strain element finite method plates,smoothed smoothing}, month = sep, organization = {European Community on Computational Methods in Applied Sciences (ECCOMAS)}, pages = {2928--2936}, timestamp = {2019-12-23T09:34:32.000+0100}, title = {{Application of an edge-based smoothed finite element method on geometrically non-linear plates of non-linear material}}, year = 2012 }