Effective dislocation lines in continuously dislocated crystals III. kinematics
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Publication:2844086
zbMATH Open1270.74047arXiv0709.1802MaRDI QIDQ2844086
Publication date: 28 August 2013
Published in: Journal of Technical Physics (Search for Journal in Brave)
Abstract: A class of congruences of principal Volterra-type effective dislocation lines associated with a dislocation density tensor is distinguished in order to investigate the kinematics of continuized defective crystals in terms of their dislocation densities (tensorial as well as scalar). Moreover, it shown, basing oneself on a formula defining the mean curvature of glide surfaces for principal edge effective dislocation lines, that the considered kinematics of continuized defective crystals is consistent with some relations appearing in the physical theory of plasticity (e.g. with the Orowan-type kinematic relations and with the treatment of shear stresses as driving stresses of moving dislocations).
Full work available at URL: https://arxiv.org/abs/0709.1802
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