Biot number effect and non-Fourier effect on temperature field and stress intensity factor of a cracked strip under thermal shock loading

Abstract

In this paper, we considered a thermal shock problem of a strip with an inner crack parallel to the heated or cooled surface. The effect of the surface heat transfer properties and the non-Fourier effect, which are modified by effective Biot’s number and the non-Fourier factor, were considered to investigate the transient temperature field and the dynamic stress intensity factors (SIFs). Fourier transform and Laplace transform were used to reduce this mixed boundary value problem to singular integral equations (SIEs). The Gauss-Chebyshev numerical integration method was applied to the SIEs and linear equations are obtained. Finally, numerical inverse Laplace transform was used to obtain the temperature field and SIFs. The numerical results showed that Biot’s number not only affects the uniformity of the temperature field and the magnitude of the SIFs strongly, but also makes contributions to the non-Fourier effect. This finding can help better understanding the fracture behaviors of advanced materials and making a progress to determine the applicable conditions of the non-Fourier effect.