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Numerical homogenization of periodic composite materials with non‐linear material components
Author(s) -
Pellegrino C.,
Galvanetto U.,
Schrefler B. A.
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(19991210)46:10<1609::aid-nme716>3.0.co;2-q
Subject(s) - homogenization (climate) , monotonic function , composite number , mathematics , complementarity (molecular biology) , constitutive equation , mathematical analysis , materials science , structural engineering , composite material , finite element method , engineering , ecology , biology , genetics , biodiversity
In this paper a numerically developed homogenized constitutive relation for the global behaviour of periodic composite materials with elasto‐plastic components is derived. The algorithm presented is general and can be applied to any kind of non‐linear material behaviour respecting the complementarity rule. The method, different from those presented in the literature, is currently restricted to small strains, plane problems and monotonic proportional loading conditions. Copyright © 1999 John Wiley & Sons, Ltd.