Abstract
A constitutive equation taking into account the effect of the void volume fraction on the macroscopic elasticity moduli has been developed. An additional strain rate is derived from the partial differentiation of the elastic stress-strain relation with respect to the void volume fraction and is added to the strain rate obtained from the original Gurson type constitutive equation. The deformation behavior of a plane strain block with both ends fixed subjected to tension has been analyzed. The comparison between the results obtained by employing the present constitutive equation and the original one clarified that the void volume fraction dependency of macroscopic elasticity moduli has a substantial effect on the residual stress, but not on global deformation behavior.
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