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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 39
Edited by: B.H.V. Topping
Paper II.10

A Hierarchical Adaptive Finite Element Strategy for Elastic-Plastic Problems

H. Cramer, M. Rudolph, G. Steinl and W. Wunderlich

Technical University of Munich, Munich, Germany

Full Bibliographic Reference for this paper
H. Cramer, M. Rudolph, G. Steinl, W. Wunderlich, "A Hierarchical Adaptive Finite Element Strategy for Elastic-Plastic Problems", in B.H.V. Topping, (Editor), "Advances in Finite Element Technology", Civil-Comp Press, Edinburgh, UK, pp 151-159, 1996. doi:10.4203/ccp.39.2.10
In this paper an adaptive finite element procedure for the solution of elastic-plastic problems in structural mechanics is presented. The method is based on a h-adaptive hierarchical mesh refinement strategy. Special attention is given to the essential ingredients of the adaptive process, the calculation of suitable error indicators, the mesh refinement strategy, and the mapping of history-dependent state variables between different meshes. These are imbedded in a nonlinear incremental finite element procedure. Some numerical examples demonstrate the applicability of the approach to general elastic-plastic problems including associated as well as non-associated plasticity.

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