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A numerical homogenisation strategy for micromorphic continua
Author(s) -
Jänicke Ralf,
Diebels Stefan
Publication year - 2009
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200910191
Subject(s) - boundary value problem , microstructure , constitutive equation , point (geometry) , scheme (mathematics) , boundary (topology) , materials science , mechanics , classical mechanics , computer science , mathematics , physics , finite element method , mathematical analysis , geometry , composite material , thermodynamics
Abstract In this contribution, we apply a numerical homogenisation scheme for micromorphic continua replacing constitutive equations on the macroscale by a microscopic boundary value problem. The aim of this procedure is to describe the influence of the microtopology on the effective behaviour of microstructured materials such as biological tissues as well as polymer or metal foams. On the one hand, that allows for avoiding the numerically expensive calculation of a fully resolved microstructure. On the other hand there is no need to identify additional material parameters which are in general hard to interpret from the physical point of view. (© 2009 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)