摘要
Interactors introduced in another recent paper by the authors are fourth order tensors which describes the interacting effects on the effective elastic properties of damaged solids due to spatial distribution of defects. Based on the concept of interactors, an interacting model for the effective elastic properties of anisotropically damaged solids is proposed. As an application of the proposed model, the anisotropic effective elastic properties of an isotropic matrix material with circular holes in periodically rectangular distribution are theoretically estimated up to third order terms of the porosity and the estimation is compared with numerical results.
Interactors introduced in another recent paper by the authors are fourth order tensors which describes the interacting effects on the effective elastic properties of damaged solids due to spatial distribution of defects. Based on the concept of interactors, an interacting model for the effective elastic properties of anisotropically damaged solids is proposed. As an application of the proposed model, the anisotropic effective elastic properties of an isotropic matrix material with circular holes in periodically rectangular distribution are theoretically estimated up to third order terms of the porosity and the estimation is compared with numerical results.
