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

Kazumi Matsui; Kenjiro Terada; Kohei Yuge

doi:10.1299/jsmea.44.584

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

Kazumi Matsui, Kenjiro Terada, Kohei Yuge

Regional and Urban Reconstruction Research Division

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

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 language	English
Pages (from-to)	584-593
Number of pages	10
Journal	JSME International Journal, Series A: Solid Mechanics and Material Engineering
Volume	44
Issue number	4
DOIs	https://doi.org/10.1299/jsmea.44.584
Publication status	Published - 2001 Oct

Keywords

Composite material
Finite element method
Homogenization method
Nonlinear problem
Parallel computing

ASJC Scopus subject areas

Materials Science(all)
Mechanical Engineering

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abstract = "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.",

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