A MODEL OF ELASTOPLASTIC BODIES WITH CONTINUOUSLY DISTRIBUTED DISLOCATIONS

The kinematics of elastoplastic bodies at finite strain based on the m ultiplicative decomposition of the deformation gradient is developed t aking into account the motion of continuously distributed dislocations . In comparison with the macro-theories of finite elastoplasticity add itional degrees of freedom are introduced through Cartan's torsion hav ing the physical meaning of the dislocation density. The set of balanc e equations has to be enlarged to account also for the internal motion of dislocations. Constitutive equations for such bodies are proposed inconsistency with the entropy production inequality. Copyright (C) 19 96 Elsevier Science Ltd