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FE 2 ‐Simulations in Elasto‐Plasticity using Statistically Similar Representative Volume Elements
Author(s) -
Balzani Daniel,
Schröder Jörg,
Brands Dominik,
Carstensen Carsten
Publication year - 2009
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200910011
Subject(s) - homogenization (climate) , representative elementary volume , computation , microstructure , plasticity , macro , volume (thermodynamics) , statistical physics , scale (ratio) , computer science , mathematics , materials science , thermodynamics , algorithm , physics , metallurgy , biodiversity , ecology , quantum mechanics , biology , programming language
In the field of direct homogenization methods large representative volume elements (RVE's) cause a high computational cost, which is indicated by a large number of history variables allocating a large amount of memory. Additionally, a high computation time is necessary to solve the systems of equations on the micro‐scale as well as on the macro‐scale. In this contribution we focus on random microstructures consisting of a continuous matrix phase with a high number of embedded inclusions with arbitrary morphology. We present a method for the construction of statistically similar representative volume elements (SSRVE's) which are characterized by a much less complexity than usual RVE's in order to obtain an efficient simulation tool. The basic goal of the underlying procedure is to find a SSRVE, where some selected statistical measures describing the inclusion morphology are as close as possible to the ones of the original arbitrary microstructure. (© 2009 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)