XFEM analysis of cracked media under thermal shock considering Chandrasekharaiah–Tzou theory

Abstract

In this paper, an isotropic environment with a static crack under thermal shock is studied using generalized thermoelasticity equations of Chandrasekharaiah–Tzou. The discretization of the governing equations in dimensionless space is done using the extended finite element method and the matrix form of the equations is extracted. Newmark’s method is used to solve the resulting system of nonlinear equations in the time domain. Some examples are solved using the numerical method and the temperature, displacements and stress fields along the length of the homogeneous layer are obtained. Also, the stress intensity factors under thermal shock are calculated using the interaction integral method and compared with the values obtained from the classical thermoelasticity theory. The results show that the speed of temperature, displacement and stress waves in the Chandrasekharaiah–Tzou theory are limited, unlike the classical thermoelasticity theory. Also, the maximum values of displacement and stress according to the theory of Chandrasekharaiah–Tzou occur at a smaller distance from the edge to which the thermal shock is applied.