Abstract
This chapter illustrates a dislocation-density-based constitutive description of plastic deformation of crystalline, primarily metallic materials which forms the basis of an isotropic elastic-viscoplastic constitutive model without a yield criterion or loading/unloading condition. Starting with the prototype Kocks-Mecking model which adequately describes the mechanical behavior of single-phase, coarse-grained materials under monotonic loading conditions, the chapter follows the series of modifications required to permit inclusion of additional classes of materials or particular deformation conditions in the model. The form of the evolution equation for the dislocation density provides a possibility of incorporating in the model metallurgical characteristics and microstructural features of a material. It begins with an idealized "structureless" matrix material that is coarse-grained and single-phase. The only kind of impenetrable obstacles to moving dislocations will be those related to the dislocation structure itself.
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