On the characterization of geometrically necessary dislocations in finite plasticity

摘要

We develop a general theory of geometrically necessary dislocations based on the deocmpo- sition F=F~eF~p. the incompatibility of F~e and that of F~p are characterized by a single tensor G giving the Burgers vector, measured and reckoned per unit area in the microstructural (inter- Mediate) configuration. We show that G may be expressed in trms of F~p and the referential Curl of F~p, or equivalently in terms of F~e-1 and the spatial curl of F~e-1.