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arXiv 0709.1802math-phmath.MP
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连续位错晶体中的有效位错线。III。运动学

Effective dislocation lines in continuously dislocated crystals. III. Kinematics

Andrzej Trzesowski

摘要:

一类同余的主Volterra型有效位错线与位错密度张量的区别,以调查运动学的连续缺陷晶体的位错密度(张量以及标量)。此外,基于定义主刃有效位错线滑动面平均曲率的公式,它表明所考虑的连续缺陷晶体的运动学与塑性物理理论中出现的某些关系是一致的(例如,奥罗万型运动学关系和将剪应力视为移动位错的驱动应力)。

英文摘要:

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).

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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