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A multiscale computational framework for discrete microstructures

le 15 novembre 2012

Intervention de Ron PEERLINGS, Professeur à l'Université Eindhoven, Pays-Bas



Extrait de l'intervention:
Materials with a discrete microstructure, e.g. fibrous networks such as textiles, paper and biological materials, are conveniently modelled using discrete networks of truss elements. Such models capture the discrete character of the microstructure in a natural fashion, including the relevant spatial (micro-)scales.
Furthermore, discrete events such as fibre fracture, bond breakage, fibre sliding, etc. are easily incorporated. However, for problems at industrially relevant (macro-)scales, the computational cost of such detailed models may be prohibitive. To deal with such problems, we employ a multiscale methodology which is based on the quasi- continuum method -- a method which is well-known for atomistic lattices. The method is extended to a more general class of microstructural models in which discrete points interact via discrete interactions. The quasi-continuum method allows one to reduce the resolution of the description where appropriate, so that
realistic simulations become feasible. It is entirely computationally based and makes use only of the underlying discrete microstructural model. In, order to render the method applicable to a much wider class of problems than atomistics, the conventional, energy based method is reformulated in terms of a virtual power balance. The summation rules used to account for the influence of discarded lattice points are also revisited. The performance of the resulting method is illustrated by an example in which the lattice points are connected by elasto-plastic trusses.
Type :
Séminaires - conférences
Lieu(x) :
Campus de Cachan

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