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Incremental self‐consistent approach for the estimation of nonlinear material behavior of metal matrix composites
Author(s) -
Jöchen Katja,
Böhlke Thomas
Publication year - 2009
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200910187
Subject(s) - linearization , tangent , nonlinear system , homogenization (climate) , discretization , computation , matrix (chemical analysis) , mathematics , mathematical analysis , materials science , composite material , algorithm , geometry , physics , biodiversity , ecology , quantum mechanics , biology
The application of homogenization methods to compute the macroscopic material response of metal matrix composites is a possibility to save memory and computation time in comparison to full field simulations. This paper deals with a method to extend the self‐consistent scheme from linear elasticity theory to nonlinear problems. The idea is to approximate the nonlinear problem by an incrementally linear one. Since time discretization of the deformation process implies a certain linearization, we use the algorithmic consistent tangent operator of the composite for defining the linear comparison material in each time step. This is in contrast to classical incremental self‐consistent approaches which use continuum tangent or secant operators. (© 2009 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)