Number of grains necessary to homogenize elastic materials with cubic symmetry
2003 (English)In: Mechanics of materials (Print), ISSN 0167-6636, Vol. 35, no 11, 1049-1057 p.Article in journal (Refereed) Published
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.
Effective properties, Microstructure, Microstructural modeling, Finite element method, Elasticity
IdentifiersURN: urn:nbn:se:kth:diva-52271DOI: 10.1016/S0167-6636(02)00325-3ISI: 000185552600002OAI: oai:DiVA.org:kth-52271DiVA: diva2:465614
QC 201112152011-12-142011-12-142011-12-15Bibliographically approved