A gradient theory of single-crystal viscoplasticity that accounts for geometrically necessary dislocations

摘要

This study develops a gradient theory of single-crystal plasticity that account s for geomet- rically necessary dislocations. The theory is based on classical crystalline kinematics; classical macroforces; microforces for each slip system consistent with a microforce balance; a mechani- cal version of the second law that includes, via the microforces, work performed during slip; a rate-independent constitutive theory that includes dependences on a tensorial measure of geomet- rically necessary dislocations.