Self-Consistent Method and Quasi-Rate-Dependent Polycrystals
The principal objective in this chapter is to present a rational thermodynamic approach to inelasticity of polycrystalline materials in a simplified version which should serve primarily to describe multiaxial experimental results on austenitic steels like AISI 316H having face-centered cubic lattice (compare [Mic97]). In this regard it is essential to reduce the number of material constants to be found from the available experiments. In other words, the general desire is always to make evolution equations with minimal number of material constants even if these equations originate from very general functionals like in [Mic93]. The evolution equations usually comprise plastic stretching (often reffered to by experimentalists as plastic strain rate tensor) and plastic spin. Some authors claim that this spin has a triggering role for localization behaviour while some others like [Daf84] require independence of these two evolution equations which greatly complicates identification problem. Although this issue is treated in the second chapter, it will be tackled here as well.
KeywordsResidual Stress Slip System High Strain Rate Stress Rate Equivalent Plastic Strain
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