A model of crystal plasticity based on the theory of continuously distributed dislocations

摘要

This work represents an attempt at developing a continuum theory of the elastic-plastic re- sponse of single crystals with structural dimensions of ?100 μm or less, based on ideas rooted in the theory of continuously distributed dislocations. The constitutive inputs of the theory relate explicitly to dislocation velocity, dislocation generation and crystal elasticity. Constitutive nonlo- cality is a natural consequence of the physical considerations of the model. The theory reduces to the nonlinear elastic theory of continuously distributed dislocations in the case of a nonevolving dislocation distribution in the material and the nonlinear theory of elasticity in the absence of dislocations. A geometrically linear version of the theory is also developed.