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Aspects of computational homogenisation of microheterogeneous materials including decohesion at finite strains
Author(s) -
Loehnert Stefan,
Wriggers Peter
Publication year - 2005
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200510190
Subject(s) - homogenization (climate) , materials science , nonlinear system , material properties , boundary value problem , composite material , mathematics , mathematical analysis , physics , biodiversity , ecology , quantum mechanics , biology
During the last years, the development and application of new composite materials gained more and more importance. For engineering applications it is necessary to get effective material properties of such materials. In this contribution we present some aspects of computational homogenisation procedures of microheterogeneous materials which can show decohesion in a cohesive zone around the particles. Due to the decohesion we get finite deformations and .nite strains within the RVE. The geometrical and material nonlinearities cause the main dif.culties. The homogenization procedure leads to an effective stress strain curve for the RVE, and for the nonlinear elastic case one can also obtain effective material parameters. It is necessary to do statistical tests in order to get a representative result. Here we set a special focus on the adaptive numerical model, the statistical testing procedure and the different boundary conditions (pure tractions and pure displacements) applied on the RVE. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)