A numerical framework for homogenisation towards higher-order media

R.H.J. Peerlings, N.A. Fleck

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/CongresprocedureConferentiebijdrageAcademicpeer review


Standard effective models of heterogenous materials becomeinaccurate when effective strains fluctuate at the scale of theheterogeneity. The effective modelling must then be enriched byhigher-order gradients of the macroscopic field variables. Suchenriched overall models can be derived directly from the propertiesof the microstructure for periodic, linear elastic media. Thehigher-order overall moduli featuring in these relations aredetermined by solving a set of problems for the periodic cell. Forpractical microstructures this cannot be done analytically and anumerical approach is therefore required. For this purpose, theproblems are rewritten in a weak form and solved by the finiteelement method. The method has been applied to a matrix-inclusioncomposite, showing that higher-order terms become more impor! tant asthe stiffness contrast between inclusion and matrix increases.
Originele taal-2Engels
TitelProceedings of the Fifth World Congress on Computational Mechanics (WCCM V), Austria, Vienna
StatusGepubliceerd - 2002

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