On the characterization of geometrically necessary dislocations in finite plasticity

摘要: We develop a general theory of geometrically necessary dislocations based on the decomposition F=FeFp. The incompatibility Fe and that Fp are characterized by single tensor G giving Burgers vector, measured reckoned per unit area in microstructural (intermediate) configuration. show may be expressed terms referential curl Fp, or equivalently Fe−1 spatial Fe−1. derive explicit relations for Euler angles rigid-plastic material — without neglecting elastic strains strict plane strain anti-plane shear. discuss relationship between distortion planes. kinematics alone yields balance law transport dislocations.