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Woven fabric composites—developments in engineering bounds, homogenization and applications
Author(s) -
Chung Peter W.,
Tamma Kumar K.
Publication year - 1999
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/(sici)1097-0207(19990830)45:12<1757::aid-nme653>3.0.co;2-o
Subject(s) - homogenization (climate) , finite element method , limiting , stiffness , woven fabric , strain energy , energy method , structural engineering , mathematics , composite material , materials science , engineering , mechanical engineering , biodiversity , ecology , biology
Various approaches for approximating upper and lower bounds for the elastic stiffness tensor for general woven fabric composites are first described. Well accepted minimum energy principles are briefly presented to establish the foundation for practical finite element procedures for determining these bounds. Secondly, comparisons of four common homogenization procedures are shown: the strain energy balance method, the plate approximation method, a direct approach via area averaging, and asymptotic expansion homogenization. As a limiting case, all of the methods obtain the well‐known Rule of Mixtures for a unidirectional uniaxial specimen. In attempting to consolidate much of the existing knowledge of structural constitutive models for woven fabric composites, this research seeks to summarize and compare various homogenization methods via finite element analyses. Finally, some illustrative applications are presented. Copyright © 1999 John Wiley & Sons, Ltd.