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Numerical Solutions of Initial Boundary Value Problems for Metals and Soils

  • T. Lodygowski
Part of the International Centre for Mechanical Sciences book series (CISM, volume 386)

Abstract

This work considers the numerical aspects of the problems of plastic strain localization for strain softening materials in both soil-like materials and ductile metals. In mathematical formulation the attention should be paid on the well-posedness of the initial boundary value problem which guarantees the uniqueness of the solution in the whole domain of the incremental analysis. Viscoplasticity serves as a mathematical tool of regularization of the system of governing equations. This formulation which is the base of numerics allows to stay free of the effects of the results sensitivity to the finite element mesh density. The numerical examples for the initial boundary value problems of ductile and clay-type materials are presented.

There are also presented some preliminary thoughts on the sensitivity analysis for these ruther complicated problems of plastic strain localization in softening materials.

Keywords

Initial Boundary Plastic Equivalent Strain Cauchy Stress Tensor Length Scale Parameter Initial Boundary Value Problem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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© Springer-Verlag Wien 1998

Authors and Affiliations

  • T. Lodygowski
    • 1
  1. 1.Technical University of PoznanPoznanPoland

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