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The paper deals with a generalized macroscopic theory of anisotropically damaged elastic-plastic solids. A macroscopic yield condition describes the plastic flow properties and a damage criterion represents isotropic and anisotropic effects. The unbalance of pseudomomentum is established based on the second law of thermodynamics. Evaluation of a strain energy function and assuming the existence of pseudo-potentials of plastic and damage dissipation leads to the definition of the configurational stress tensor, inhomogeneity force and material dissipation force.

The present work proposes a continuum theory of strain gradient plasticity with additional plastic spin rate and plastic strain rate tensors defined by the Cartan coefficients of structure.

It is shown that the concept of material forces together with associated balance laws, besides the classical laws of linear and angular momentum in the physical space, provide a firm theoretical framework within which weakly nonlocal (gradient type) models of damage and plasticity can be formulated in a clear and rigorous manner. The appropriate set of balance laws for physical and material forces as well as the first and second law of thermodynamics are formulated in integral form. The corresponding local laws are next derived and the general structure of thermodynamically consistent constitutive equations is formulated.