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Towards the computational homogenization of discrete microstructures
Author(s) -
Ricker Sarah,
Menzel Andreas,
Steinmann Paul
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200700583
Subject(s) - homogenization (climate) , macro , microstructure , computer science , particle system , materials science , mathematics , statistical physics , physics , composite material , biodiversity , ecology , biology , programming language , operating system
The main objective of the current work is the extension of a computational homogenization scheme towards the simulation of discrete micro‐structures. On the micro‐level so‐called multiple particle systems (MPS) are introduced for which a continuization scheme, resulting in a formulation analogous to a homogenization scheme, is developed. Furthermore, three types of constitutive behavior are applied to these particle systems and their influence on the overall macro‐structure is studied. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)