Thermo-elastic analysis of edge dislocation using extended finite element method

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.