Civil Engineering Department, Sharif University of Technology, Tehran, Iran
A damage plastic constitutive model for metals is proposed in this paper. Anisotropic damage tensor and damage surfaceare adopted to describe the degradation of mechanicalproperties of metals. The model is developed within the thermodynamic framework and implements an anisotropic damage plastic model with ability todescribe the plastic and damage behavior of iron based materials.
According to the principle of strain energy equivalence between the undamaged and damaged material, the linear elastic constitutive equations for the damaged material expressed stiffness tensor in damaged configuration.The damaged material is modeled using the constitutive laws of the undamaged material in which the stresses in undamaged configuration are replaced by the stresses in damaged configuration.To simulate the onset of plastic deformation and damage, yield and damage surfaces are applied andin accordance with the normality rule, evolution laws for the damage variables are achieved to complete the proposed damage plastic model.
The implementation of the model in the form of a practical method, based on the forward Euler integration scheme (modified forward Euler integration with error control) is discussed. Finally, the constitutive response is compared with some experimental results and classical plasticity results for validating the capability of the proposed model, anda good agreement between the experimental results and the model is obtained.