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T. Lodygowski, M. Lengnick and E. Stein

Institute for Structural and Computational Mechanics, University of Hannover, Hannover, Germany

doi:10.4203/ccp.22.4.2

T. Lodygowski, M. Lengnick, E. Stein, "Numerical Analysis of Loacalization Phenomena in Ductile and Brittle Materials", in M. Papadrakakis, B.H.V. Topping, (Editors), "Advances in Finite Element Techniques", Civil-Comp Press, Edinburgh, UK, pp 127-133, 1994. doi:10.4203/ccp.22.4.2

Abstract

The successful numerical analysis of plastic strain localization phenomena for ductile and brittle materials requires the fulfilment of several conditions in accordance with the formulation of the initial boundary value problem (IBVP). Sometimes it is necessary to use the regularization techniques which results in well-posedness of IBVPs. If specific conditions are met, the results obtained in the numerical calculations are free of unexpected mesh sensitivity. In the paper, rate-dependent regularized models of both materials are presented and used to solve practical engineering problems. The mathematical background which could be used to prove the well-posedness of IBVP is discussed.

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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: 22 ADVANCES IN FINITE ELEMENT TECHNIQUES Edited by: M. Papadrakakis and B.H.V. Topping Paper IV.2 Numerical Analysis of Loacalization Phenomena in Ductile and Brittle Materials T. Lodygowski, M. Lengnick and E. Stein Institute for Structural and Computational Mechanics, University of Hannover, Hannover, Germany doi:10.4203/ccp.22.4.2 purchase the full-text of this paper Full Bibliographic Reference for this paper T. Lodygowski, M. Lengnick, E. Stein, "Numerical Analysis of Loacalization Phenomena in Ductile and Brittle Materials", in M. Papadrakakis, B.H.V. Topping, (Editors), "Advances in Finite Element Techniques", Civil-Comp Press, Edinburgh, UK, pp 127-133, 1994. doi:10.4203/ccp.22.4.2 Abstract The successful numerical analysis of plastic strain localization phenomena for ductile and brittle materials requires the fulfilment of several conditions in accordance with the formulation of the initial boundary value problem (IBVP). Sometimes it is necessary to use the regularization techniques which results in well-posedness of IBVPs. If specific conditions are met, the results obtained in the numerical calculations are free of unexpected mesh sensitivity. In the paper, rate-dependent regularized models of both materials are presented and used to solve practical engineering problems. The mathematical background which could be used to prove the well-posedness of IBVP is discussed. 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 £60 +P&P)
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