Parallelized two-scale analysis with a PC cluster for elastic-plastic heterogeneous media

Kazumi Matsui, Kenjiro Terada, Kohei Yuge

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


This paper presents a method of parallel computation particularized for the two-scale analysis of elastic-plastic heterogeneous media with periodic microstructures. Due to the mathematical structure inherent to the multi-scale modeling by the homogenization theory, the numerical algorithm is successfully incorporated with a clustered-type parallel computer. A simple numerical example is presented to illustrate the essential idea of parallelized, nonlinear two-scale analysis method and the algorithmic difficulty associated with computational load for each CPU. To overcome such difficulty, we present the modified parallel algorithm, in which the computational loads of CPU's are almost equalized according to the nonlinear response of each microstructure. A proposed xmethod is applied to simulate the tensile test for a steel specimen.

Original languageEnglish
Pages (from-to)584-593
Number of pages10
JournalJSME International Journal, Series A: Solid Mechanics and Material Engineering
Issue number4
Publication statusPublished - 2001 Oct


  • Composite material
  • Finite element method
  • Homogenization method
  • Nonlinear problem
  • Parallel computing


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