A Nonlocal Model of Plasticity and Damage with Different Internal Lengths

A nonlocal thermodynamically consistent model of plasticity and damage is presented using an integral approach. The theory is developed in the framework of the generalized standard material and the constitutive model is identified by the specification of a nonlocal first law of thermodynamics and of a local second one. The constitutive model is then addressed by defining a suitable expression of the free energy which yields a nonlocal plastic model in the stress space and a nonlocal damage model in the strain space. A variational formulation depending on local and nonlocal state variables is thus provided.