A nonsingular solution of the edge dislocation in the gauge theory of dislocations
A nonsingular solution of the edge dislocation in the gauge theory of dislocations
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DOI：
10.1088/0305-4470/36/5/316
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发表时间：
2003-02-07
期刊：
影响因子：
--
通讯作者：
Lazar, M
中科院分区：
文献类型：
--
作者：
Lazar, M
本文给出了平动缺陷规范理论中刃型位错的一个（线性）非奇异解。采用应力函数法，得到了一个修正的应力函数。所有的场量都是全局定义的，并且在远场中的解与刃型位错的经典解一致。应力场、应变场、畸变场和位移场的分量也定义在位错核区，并且在那里没有奇异性。计算了刃型位错的位错密度、位错矩和位错偶应力。所得应力场和应变场的解与Gutkin和Aifantis通过对应变梯度弹性中刃型位错的分析所得到的解是一致的。此外，给出了规范理论与Eringen所谓的非局域位错理论之间的关系。
A (linear) nonsingular solution for the edge dislocation in the translational gauge theory of defects is presented. The stress function method is used and a modified stress function is obtained. All field quantities are globally defined and the solution agrees with the classical solution for the edge dislocation in the far field. The components of the stress, strain, distortion and displacement fields are also defined in the dislocation core region and they have no singularity there. The dislocation density, moment and couple stress for an edge dislocation are calculated. The solutions for the stress and strain fields obtained here are in agreement with those obtained by Gutkin and Aifantis through an analysis of the edge dislocation in the strain gradient elasticity. Additionally, the relation between the gauge theory and Eringen's so-called nonlocal theory of dislocations is given.