Numerical simulation of temperature field in heterogeneous material with the XFEM

The purpose of this paper is to focus on modeling temperature field in heterogeneous materials. The heat conductivity is adopted as the basic parameter for calculation. The extended finite element method (XFEM) is applied for simulation of temperature field. For one element that contains no material interface, the temperature function will be degenerated into that of the conventional finite element. For the element containing material interfaces, the standard temperature based approximation is enriched by incorporating level-set-based enrichment functions which model the interfaces. For unsteady temperature field, the improved precise integration method is adopted for the solution of the ordinary differential equations. The mesh generation can be considerably simplified and high-quality meshes are obtained; meanwhile the solution of good precision and stability can be achieved.