Implementation of XFEM for dynamic thermoelastic crack analysis under non-classic thermal shock

In this paper, the extended finite element method is implemented to model a cracked finite domain in which the surface is subjected to a non-Fourier thermal shock. The dynamic fully coupled thermoelasticity equations based on Lord-Shulman theory are considered. The interaction integral is used to extract the stress intensity factors as well as the implicit version of the Newmark scheme as the time integration method to solve semidiscrete governing equations. The effect of relaxation time on the temperature distribution and stress intensity factors under thermal shock is investigated. Furthermore, secondary heat conduction near the tip of an inclined crack due to the reflection of the thermal wave from its surface and consequently local deviation in temperature and displacement fields is discussed in detail. The propagation of a curved crack under thermal shock is reported, as well.