鈴木 貴大 (Takahiro SUZUKI)
In elasticity, our successive substitution method of the Mori-Tanaka average using the virtual matrix results in Hill’s self-consistent solution of isotropic composites. The same approach has been used for anisotropic elastic composites, and has shown that the iteration converges to one solution no matter what initial state is assumed. We here expand this method for elasto-plastic composites with stress-induced anisotropy. The corresponding isotropic elasticity of the virtual matrix is introduced by approximating the tangential elastoplastic moduli using a least-square method of all the elements of the moduli and an evaluation of the apparent shear and bulk moduli through the eigenvalues of the tangential moduli. Comparisons with other predictions and experimental data are made to show eligibility of the method presented.
Key Words : virtual matrix, iteration converges, elasto-plasticity, self-consistent