A Multiscale Stochastic Stress Analysis of a Heterogeneous Material considering Nonuniform Microscopic Random Variation

• SAKATA Sei-ichiro

  Department of mechanical engineering, Kinki University

• ASHIDA Fumihiro

  Graduate School of Shimane University

• OHSUMIMOTO Ken-ichi

  Graduate School of Shimane University

Abstract

This paper discusses a multiscale stochastic stress analysis of a heterogeneous material via the stochastic homogenization analysis. In particular, a nonuniform microscopic random variation is taken into account in this paper. The influence of the nonuniformity on the random variation of the microscopic stresses is investigated. Monte-Carlo simulation or the first order perturbation-based stochastic homogenization method is employed for the analysis. The Coefficient of Variance (CV) of the microscopic stress is analyzed for several cases of nonuniform microscopic random variations. With the numerical results, influence of the nonuniform microscopic random variation on the CVs of the microscopic stresses is discussed. Also, applicability of the perturbation method to the analysis is investigated in comparison with the Monte-Carlo simulation

Journal

• Journal of Computational Science and Technology

  Journal of Computational Science and Technology 7 (2), 134-147, 2013

  The Japan Society of Mechanical Engineers

Keywords

• Multiscale Stochastic Analysis
• Stochastic Homogenization
• Perturbation
• Nonuniform Microscopic Random Variation
• Monte-Carlo Simulation

Details

• CRID: 1390001205275394176
• NII Article ID: 130003368075
• DOI: 10.1299/jcst.7.134
• BIBCODE: 2013JCST....7..134S
• ISSN: 18816894
• Web Site: https://www.jstage.jst.go.jp/article/jcst/7/2/7_134/_pdf
• Text Lang: en
• Data Source:
  • JaLC
  • Crossref
  • CiNii Articles
  • KAKEN
• Abstract License Flag: Disallowed