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In this communication, we summarize the current advances in size-dependent  continuum plasticity of crystals, specifically, the rate-independent  (quasistatic) formulation, on the basis of dislocation mechanics. A  particular emphasis is placed on relaxation of slip at interfaces. This  unsolved problem is the current frontier of research in plasticity of  crystalline materials. We outline a framework for further investigation,  based on the developed theory for the bulk crystal. The bulk theory is based  on the concept of geometrically necessary dislocations, specifically, on  configurations where dislocations pile-up against interfaces. The average  spacing of slip planes provides a characteristic length for the theory. The  physical interpretation of the free energy includes the error in elastic  interaction energies resulting from coarse representation of dislocation  density fields. Continuum kinematics is determined by the fact that  dislocation pile-ups have singular distribution, which allows us to represent  the dense dislocation field at the boundary as a superdislocation, i.e., the  jump in the slip filed. Associated with this jump is a slip-dependent  interface energy, which in turn, makes this formulation suitable for analysis  of interface relaxation mechanisms

Plasticity of crystals and interfaces: From discrete dislocations to size-dependent continuum theory