Abstract In the present work, the extended finite element method (XFEM) is successfully implemented for the thermo-elastic analysis of edge dislocations. Volterra type edge dislocation is modeled using Heaviside and core enrichment functions. The singularity at the dislocation core is captured through infinite domain solution at the core. The Peach-Koehler force is numerically evaluated using the domain form of the J-integral from the XFEM solution of thermo-elastic fields. Two problems i.e. an edge dislocation in the semi-infinite domain and an edge dislocation near the bi-material interface, are solved for the thermo-elastic case. The problems of dislocation dipole are evaluated for the calculation of Peach-Koehler force. The displacement and traction boundary conditions are applied in different problems along with the thermal boundary conditions. Three different cases i.e. constant heat flux parallel to the glide plane, constant heat flux perpendicular to the glide plane, and constant temperature are considered for the analysis. The numerical simulations are performed at different temperatures to examine its influence on the Peach-Koehler force.

中文翻译：

---

使用扩展有限元方法对边缘位错进行热弹性分析

摘要 在目前的工作中，扩展有限元法（XFEM）成功地用于边缘位错的热弹性分析。Volterra 型边缘位错使用 Heaviside 和核心富集函数建模。位错核心处的奇点是通过核心处的无限域解决方案捕获的。Peach-Koehler 力使用来自热弹性场的 XFEM 解的 J 积分的域形式进行数值评估。对于热弹性情况，解决了两个问题，即半无限域中的边缘位错和双材料界面附近的边缘位错。为计算 Peach-Koehler 力，评估了位错偶极子问题。位移和牵引边界条件与热边界条件一起应用于不同的问题。在分析中考虑了三种不同的情况，即平行于下滑平面的恒定热通量、垂直于下滑平面的恒定热通量和恒定温度。在不同温度下进行数值模拟以检查其对 Peach-Koehler 力的影响。