An investigation of the effects of deformation-induced anisotropy on isotropic classical elastic-plastic materials

The effects of recoverable deformation induced anisotropy on the inelastic response of elastic materials are described. Starting by quantifying the degree of deformation induced anisotropy in isotropic materials, it is proved that the resultant anisotropy is significant only in materials capable of realizing large elastic deviatoric strains. For common engineering materials, this condition requires that the material strength increase strongly with pressure. For materials whose strength does not vary strongly with pressure, such as metals, recoverable deformation induced anisotropy is shown to be negligible.