Two-scale finite element analysis of heterogeneous solids with periodic microstructures

Kazumi Matsui, Kenjiro Terada, Kohei Yuge

Research output: Contribution to journalArticlepeer-review

129 Citations (Scopus)


Toward the application of a two-scale analysis method for nonlinear heterogeneous solids with periodic microstructures, we make a feasibility study and introduce a parallel algorithm to achieve the computational efficiency. For the feasibility, we focus our attention to the inhomogeneous deformation of the overall structure, which may imply the loss of periodicity assumed in the initial state. For parallel computations, we present an efficient algorithm for the deconcentration of computational loads by using a PC-cluster system. A simple numerical example for a three-dimensional heterogeneous body will suggest the applicability of the two-scale analysis method to practical problems.

Original languageEnglish
Pages (from-to)593-606
Number of pages14
JournalComputers and Structures
Issue number7-8
Publication statusPublished - 2004 Mar


  • Elastoplasticity
  • Heterogeneous media
  • Homogenization theory
  • Parallel computations
  • Two-scale analysis
  • Two-scale modeling


Dive into the research topics of 'Two-scale finite element analysis of heterogeneous solids with periodic microstructures'. Together they form a unique fingerprint.

Cite this