A Model of Crystalline Materials with Dislocations

摘要

The model proposed here involves the second order deformation gradient, through its skew-symmetric part, as a measure of the incompatibility between relaxed configurations associated to the material points inside of a neighborhood of a given material point. The behaviour is described by an elastic material element response, with respect to plastically deformed configuration, identified with a local configuration with torsion. Material symmetry properties of the elasto- plastic material elements are described closely related to the relaxation axiom.