Generalized “grid” continuum description as a tool for proposing multi-scale material models

To describe materials with more complex microstructure, generalization of the standard continuum theory is proposed. The key idea consists in dividing the studied body onto a set of small but finite cells. The state of the microstructure withineachcell is described by an additional field that may be...

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Bibliographic Details
Published inProcedia engineering Vol. 10; pp. 2566 - 2571
Main Authors Vychytil, J., Holeček, M.
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 2011
Subjects
Continuum description
Hyperelasticity
Multi-scale modelling
Representative volume element
Multi-scale modelling
Representative volume element
Continuum description
Hyperelasticity
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Summary:To describe materials with more complex microstructure, generalization of the standard continuum theory is proposed. The key idea consists in dividing the studied body onto a set of small but finite cells. The state of the microstructure withineachcell is described by an additional field that may be discontinuous or highly oscillating. Hence, non-trivial effects of microstructure can be involved in resulting material models. The theory is illustrated on atwo-scale hyperelasticmodel of amaterialwithprestressat the reference state.Non-trivial character of the mechanical responsecaused by a collapse of micro-constituents motivates us to design an engineering material with similar properties.
ISSN:1877-7058
1877-7058
DOI:10.1016/j.proeng.2011.04.423