Open AccessEvaluation of effective hyperelastic material coefficients for multi-defected solids under large deformation
Author(s) -
JinFu Chang,
W. H. Wu
Publication year - 2016
Publication title -
aims materials science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.367
H-Index - 16
eISSN - 2372-0484
pISSN - 2372-0468
DOI - 10.3934/matersci.2016.4.1773
Subject(s) - hyperelastic material , micromechanics , homogenization (climate) , strain energy density function , constitutive equation , finite strain theory , materials science , nonlinear system , compressibility , infinitesimal strain theory , strain energy , deformation (meteorology) , anisotropy , mechanics , mathematics , finite element method , composite material , physics , thermodynamics , biodiversity , ecology , quantum mechanics , composite number , biology
The present work deals with the modeling of multi-defected solids under the action of large deformation. A micromechanics constitutive model, formulated in terms of the compressible anisotropic NeoHookean strain energy density function, is presented to characterize the corresponding nonlinear effective elastic behavior. By employing a scalar energy parameter, a correspondence relation between the effective hyperelastic model and this energy parameter is established. The corresponding effective material coefficients are then evaluated through combined use of the “direct difference approach” and the extended “modified compliance contribution tensor” method. The proposed material constitutive model can be further used to estimate the effective mechanical properties for engineering structures with complicated geometry and mechanics and appears to be an efficient computational homogenization tool in practice