A MICROMORPHIC APPROACH TO DISLOCATION THEORY AND ITS RELATION TO SEVERAL EXISTING THEORIES.
A MICROMORPHIC APPROACH TO DISLOCATION THEORY AND ITS RELATION TO SEVERAL EXISTING THEORIES.
复制标题
位错理论的微观方法及其与几种现有理论的关系。
DOI：
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发表时间：
1969
期刊：
影响因子：
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通讯作者：
W. D. Claus
中科院分区：
文献类型：
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作者：
A. Eringen;W. D. Claus
摘要：提出了两种独立的连续体位错理论；一个涉及静态不相容、微极性位错和向错，如在初始应力问题中遇到的，另一个涉及包含连续位错分布的微形态固体的动力学理论。通过提供微形态理论的扩展和新的解释，建立了几种连续体位错理论和微形态力学之间的关系。首先总结了弹性固体的微形态理论和微极性理论，然后在此框架内详细讨论了 Kroner、Fox、Berdichevskii 和 Sedov 的理论。在最后一节中，利用微形态运动学，引入位错密度、应变和微应变张量并构造本构方程。与平衡定律一起构成了完整的动力学理论。该理论旨在预测包含位错的固体发生弹性变形的运动和微运动。根据微运动，可以计算位错密度和第一应力矩。 （作者）
Abstract : Two separate continuum dislocation theories are presented; one dealing with static incompatible, micropolar dislocations and disclinations, as encountered in initial stress problems, and the other with a dynamical theory of micromorphic solids containing continuous distributions of dislocations. Relationships between several continuum dislocation theories and micromorphic mechanics are established by providing extensions and new interpretations of the micromorphic theory. First both micromorphic and micropolar theories of elastic solids are summarized, and then the theories of Kroner, Fox, and Berdichevskii and Sedov are discussed in some detail within this framework. In the last section, by use of micromorphic kinematics, dislocation density, strain, and microstrain tensors are introduced and constitutive equations are constructed. Together with the balance laws this constitutes a complete dynamical theory. The theory is intended for predictions of motions and micromotions of a solid containing dislocations undergoing elastic deformations. From the micromotion, the dislocation density and first stress moments can be calculated. (Author)