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Finite Element Analysis with Iterated Multiscale Analysis for Mechanical Parameters of Composite Materials with Multiscale Random Grains

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  • Youyun Li
  • Yuqing Pan
  • Jianlong Zheng
  • Chiqing Zhou
  • Desheng Wang

Abstract

Based on the iterated statistically multiscale analysis (SMSA), we present the convergence of the equivalent mechanical parameters (effective moduli), obtain the error result, and prove the symmetric, positive and definite property of the equivalent mechanical parameters tensor computed by the finite element method. The numerical results show the proved results and illustrate that the SMSA-FE algorithm is a rational method for predicting the equivalent mechanical parameters of the composite material with multiscale random grains. In conclusion, we discuss the future work for the inhomogeneous composite material with multiscale random grains.

Suggested Citation

  • Youyun Li & Yuqing Pan & Jianlong Zheng & Chiqing Zhou & Desheng Wang, 2011. "Finite Element Analysis with Iterated Multiscale Analysis for Mechanical Parameters of Composite Materials with Multiscale Random Grains," Mathematical Problems in Engineering, Hindawi, vol. 2011, pages 1-19, June.
    • Handle: RePEc:hin:jnlmpe:585624
    DOI: 10.1155/2011/585624
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