Screw dislocations in the field theory of elastoplasticity
Screw dislocations in the field theory of elastoplasticity
复制标题
弹塑性场论中的螺旋位错
DOI：
10.1002/andp.20025140901
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发表时间：
2002
影响因子：
2.4
通讯作者：
M. Lazar
中科院分区：
文献类型：
--
作者：
M. Lazar
考虑了具有力矩和力应力的位错（微观）静弹塑性场理论。将矩应力与奈张量的关系用于位错拉格朗日量。讨论了圆柱内无限长螺位错、偶极螺位错和有限圆柱内同轴螺位错的应力场。位错核内应力场不存在奇点，由于局部矩应力的存在，应力场在核内发生了修正。此外，我们还计算了圆柱内螺位错和同轴螺位错的弹塑性能。对于同轴螺位错，我们找到了一个修正公式，即所谓的埃谢尔比扭，它取决于特定的本征材料长度。
A (microscopic) static elastoplastic field theory of dislocations with moment and force stresses is considered. The relationship between the moment stress and the Nye tensor is used for the dislocation Lagrangian. We discuss the stress field of an infinitely long screw dislocation in a cylinder, a dipole of screw dislocations and a coaxial screw dislocation in a finite cylinder. The stress fields have no singularities in the dislocation core and they are modified in the core due to the presence of localized moment stress. Additionally, we calculated the elastoplastic energies for the screw dislocation in a cylinder and the coaxial screw dislocation. For the coaxial screw dislocation we find a modified formula for the so‐called Eshelby twist which depends on a specific intrinsic material length.