Finite Element Analysis with Iterated Multiscale Analysis for Mechanical Parameters of Composite Materials with Multiscale Random Grains
Author(s) -
Youyun Li,
Yuqing Pan,
Jianlong Zheng,
Chiqing Zhou,
Desheng Wang
Publication year - 2011
Publication title -
mathematical problems in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.262
H-Index - 62
eISSN - 1026-7077
pISSN - 1024-123X
DOI - 10.1155/2011/585624
Subject(s) - finite element method , iterated function , moduli , composite number , modulus , convergence (economics) , materials science , work (physics) , mathematics , mathematical analysis , composite material , structural engineering , physics , mechanical engineering , engineering , quantum mechanics , economics , economic growth
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
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