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On the effective elasticity tensor of cellular materials obtained by an energetic homogenization procedure
Author(s) -
Hohe J.,
Becker W.
Publication year - 2000
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.20000801462
Subject(s) - homogenization (climate) , microstructure , representative elementary volume , materials science , strain energy , elasticity (physics) , homogeneous , composite material , tensor (intrinsic definition) , finite element method , thermodynamics , mathematics , geometry , physics , biodiversity , ecology , biology
Abstract Aim of the present study is the determination of the effective elastic properties of cellular materials using two‐dimensional cellular structures which are common as core materials for structural sandwich panels as a model material. The cellular microstructure is homogenized by a strain‐energy based RVE‐procedure assuming that strain states, which are equivalent on the macroscopic level, lead to equal strain energy in a representative volume element whether the real microstructure or the quasi‐homogeneous “effective” medium is considered.