Abstract—

A pseudodifferential operator is constructed that describes the stress field in an anisotropic medium caused by a dislocation with a variable Burgers vector.

Under the assumption \({\mathbf{b}} \in {{H}_{{1/2}}}(\Pi ,{{R}^{3}})\), analytical expressions for the energy of circular dislocations with a variable Burgers vector in an elastic medium with general anisotropy are obtained for the first time. It was found that in an isotropic medium the energy of formation of an edge dislocation and a slip dislocation is determined only by the uniform norm of the Burgers vector.

中文翻译：

---

各向异性介质中的圆形位错：比能和应力场

摘要-

构造了一个伪微分算子，该算子描述了各向异性介质中由具有可变Burgers向量的位错引起的应力场。

在\ {{\ mathbf {b}} \ in {{H} _ {{1/2}}}（\ Pi，{{R} ^ {3}}）\）的假设下，能量的解析表达式首次获得具有各向异性的弹性介质中具有可变Burgers向量的圆形位错。已经发现，在各向同性介质中，边缘位错和滑动位错形成的能量仅由Burgers向量的统一范数确定。