Dislocation loops in anisotropic elasticity: displacement field, stress function tensor and interaction energy
Dislocation loops in anisotropic elasticity: displacement field, stress function tensor and interaction energy
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DOI：
10.1080/14786435.2012.657705
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发表时间：
2013-01
影响因子：
1.6
通讯作者：
M. Lazar;H. Kirchner
中科院分区：
文献类型：
--
作者：
M. Lazar;H. Kirchner
本文的目的是对非协调各向异性弹性理论中位错的位移场、应力函数张量和位错相互作用能进行清晰、直观的推导。弹性各向异性介质中位错环引起的位移场可以表示为线积分加纯几何部分的和。这是Burgers公式的各向异性推广。推导了各向异性介质中一阶应力函数张量和位错环间相互作用能的计算公式。
The aim of the present paper is to give a clear and straightforward derivation of the displacement field, stress function tensor and interaction energy of dislocations in the theory of incompatible anisotropic elasticity. The displacement field caused by a dislocation loop in an elastically anisotropic medium can be written as the sum of a line integral plus a purely geometric part. This is the anisotropic generalization of the Burgers formula. Formulae for the first-order stress function tensor and the interaction energy between two dislocation loops in anisotropic media are derived.