A large strain plasticity model for anisotropic materials - composite material application

In this work a generalized anisotropic model in large strains based on the classical isotropic plasticity theory is presented. The anisotropic theory is based on the concept of mapped tensors from the anisotropic real space t o the isotropic fictitious one. In classical orthotropy theories it is nece ssary to use a special constitutive law for each material. The proposed the ory is a generalization of classical theories and allows the use of models and algorithms developed for isotropic materials. It is based on establishi ng a one-to-one relationship between the behavior of an anisotropic real ma terial and that of an isotropic fictitious one. Therefore, the problem is s olved in the isotropic fictious space and the results are transported to th e real field. This theory is applied to simulate the behavior of each mater ial in the composite. The whole behavior of the composite is modeled by inc orporating the anisotropic model within a model based on a modified mixing theory. (C) 2001 Elsevier Science Ltd. All rights reserved.