Acoustoelastic responses of an elastoplastically deformed body

Uniaxial tests in the plastic range were conducted to evaluate the plastic strain effect on the change in acoustobirefringence, defined as the difference of two shear wave speeds polarized along two perpendicular directions, in carbon steel specimens. The theory proposed by Pao and Gamer was adopted. The theory is independent of any yield conditions of plasticity and holds that the effects of texture changes caused by plastic strain are characterized by two texture constants in acoustoelastic theory for an initially isotropic body. These texture constants were determined for the carbon steels using the uniaxial test results. A constitutive relation for the incremental second Piola-Kirchhoff stress and infinitesmal strain was postulated to incorporate the texture effect into the acoustoelastic theory.