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

Technical University of Munich, Munich, Germany

doi:10.4203/ccp.39.2.10

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

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 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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Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Proceedings ISSN 1759-3433 CCP: 39 ADVANCES IN FINITE ELEMENT TECHNOLOGY 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 doi:10.4203/ccp.39.2.10 purchase the full-text of this paper 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 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 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. purchase the full-text of this paper (price £20) go to the previous paper go to the next paper return to the table of contents return to the book description purchase this book (price £85 +P&P)
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