Abstract
The objective of this chapter is to develop the rate-type constitutive structure for an elastic-viscoplastic material in which the effects of the plastic non-normality, plastic strain induced anisotropy (kinematic hardening), micro-damaged mechanism, and thermomechanical coupling are taken into consideration. To do this it is sufficient to assume a finite set of the internal state variables. It is assumed that conservation of mass, balance of momentum, balance of moment of momentum, balance of energy, and entropy production inequality hold. Four fundamental postulates that is introduced: existence of the free energy function; axiom of objectivity, axiom of the entropy production, and the evolution equation for the internal state variable vector.
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