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Category Text Publication
Reference Category Journals
DOI 10.1007/s00466-004-0651-4
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Title (Primary) A contribution to error estimation and mapping algorithms for a hierarchical adaptive FE-strategy in finite elastoplasticity
Author Bucher, A.; Meyer, A.; Görke, U.-J.; Kreißig, R.
Source Titel Computational Mechanics
Year 2005
Department ENVINF
Volume 36
Issue 3
Page From 182
Page To 195
Language englisch
Keywords FEM; adaptivity; error estimation; finite deformations; elastoplasticity
Abstract The aim of this contribution is the presentation of an adaptive finite element procedure for the solution of geometrically and physically non-linear problems in structural mechanics. Within this context, the attention is mainly directed on the error estimation and hierarchical strategies for mesh refinement and coarsening in the case of finite elasto-plastic deformations. An important but sensitive aspect of adaptation approaches of the space discretization is the calculation of mechanical field variables for the modified mesh. Procedures of mesh refinement and coarsening imply the determination of strains, stresses and internal variables at the nodes and the Gauss points of new elements based on the transfer of the required data from the former mesh. In order to improve the efficiency as well as the convergence behaviour of the adaptive FE process an approach of data transfer primarily related to nodal values is presented. It is characterized by solving the initial value problem not only at the Gauss points but additionally at the nodes of the elements
Persistent UFZ Identifier https://www.ufz.de/index.php?en=20939&ufzPublicationIdentifier=3246
Bucher, A., Meyer, A., Görke, U.-J., Kreißig, R. (2005):
A contribution to error estimation and mapping algorithms for a hierarchical adaptive FE-strategy in finite elastoplasticity
Comput. Mech. 36 (3), 182 - 195 10.1007/s00466-004-0651-4