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Number of grains necessary to homogenize elastic materials with cubic symmetry
KTH, Superseded Departments, Solid Mechanics.
2003 (English)In: Mechanics of materials (Print), ISSN 0167-6636, Vol. 35, no 11, 1049-1057 p.Article in journal (Refereed) Published
Abstract [en]

A numerical model based on the finite element method is presented for modeling of microstructures. The model uses a discrete version of the Voronoi algorithm to partition the mesh into grains. The model is utilized to study representativity of grain structures. The number of grains needed in a representative volume element is evaluated for materials with cubic symmetry and random texture. It is shown that the number of grains needed depend on the anisotropy, and a simple expression that relates anisotropy and the number of grains is suggested.

Place, publisher, year, edition, pages
Elsevier, 2003. Vol. 35, no 11, 1049-1057 p.
Keyword [en]
Effective properties, Microstructure, Microstructural modeling, Finite element method, Elasticity
National Category
Applied Mechanics
URN: urn:nbn:se:kth:diva-52271DOI: 10.1016/S0167-6636(02)00325-3ISI: 000185552600002OAI: diva2:465614
QC 20111215Available from: 2011-12-14 Created: 2011-12-14 Last updated: 2011-12-15Bibliographically approved

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Nygårds, Mikael
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Solid Mechanics
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