摘要

In this article, a model of anisotropic damage coupled to plasticity based on thermodynamics framework is proposed. This model is introduced to describe the plastic and damage behavior of metals adequately. According to the elastic energy equivalence hypothesis between the undamaged material and the damaged material, the constitutive equations for the material in damaged configuration are written. The damaged material is modeled using the constitutive laws of the undamaged material in which the stresses in undamaged configuration are mapped by the stresses in damaged configuration. The damage is proposed through a damage mechanics framework, and the material degradation is determined by utilizing an anisotropic damage measure. In developing constitutive model, a plastic yield surface is used to demonstrate the onset of plasticity, and a damage surface is used to demonstrate the onset of damage. %26lt;br%26gt;The plastic relationships have been written in undamaged configuration, and by using relationships between damaged and undamaged configurations, plastic equations are extended to damaged configuration. %26lt;br%26gt;Numerical simulations of the elastoplastic deformation behavior of hydrostatic stress sensitive metals demonstrate the efficiency of the formulation, and also show the physical effects of parameters of the model. In order to achieve an equilibrated global solution, a nonlinear finite element program that employs a Newton Raphson iteration procedure is applied. Finally, the numerical results of some examples are validated with the existing experimental measurements.

  • 出版日期2014-3