ABSTRACT

The theories of plasticity and thermoplasticity model material behavior in important applications such as metal forming, ballistics, and welding. The main goals of the current section are to present an example of constitutive models in plasticity, viscoplasticity, thermoplasticity, and damage mechanics, to derive the corresponding tangent modulus tensors, and to formulate variational and finite element statements, all while accommodating the challenging problems of finite strain and kinematic hardening. But we first start with a presentation of a constitutive model in small strain isothermal plasticity.