Abstract
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 an 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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