Non-Fourier heat conduction analysis of a 2-D plate with inner cracks at arbitrary direction angles

Abstract

This paper investigates the problem of a 2-D plate containing internal cracks at arbitrary angles to the heating surface under thermal shock. The finite difference method is applied to solve the temperature distribution and a difference scheme of the oblique crack is developed. For the first time, a non-Fourier heat transfer analysis method of a 2-D plate with inner cracks at arbitrary direction angles is established. Specifically, for a strip with an inner crack paralleling to the surface, numerical results are compared with the analytical solutions by rotating the boundary, and perfect agreement is obtained. Numerical experiments are further presented to investigate the influence of crack orientation angle and multi-crack distribution on non-Fourier heat conduction.