A peridynamic model for non-Fourier heat transfer in orthotropic plate with uninsulated cracks

In this paper, the transient temperature response of a cracked plate under thermal shock is investigated. To eliminate the problems caused by the assumption of infinite heat prop-agation speed, the non-Fourier heat transfer theory is adopted. A peridynamic model is developed to consider the non-Fourier effect, the orthotropy of thermal conductivity, and the crack thermal resistance. This model avoids the spatial derivative and is efficient to analyze the problems with discontinuities. Based on the Kapitza thermal resistance model, a thermal resistance bond is proposed to deal with the uninsulated crack. The explicit and implicit discrete schemes of peridynamic formulation are presented to solve the temper-ature field. The model is verified by the analytical solution and excellent agreements are obtained. For the non-Fourier phenomenon observed in bismuth, numerical examples are presented for analyzing the effects of crack thermal resistance, crack orientation angle, and multi-crack distribution on non-Fourier heat transfer. & COPY; 2022 Elsevier Inc. All rights reserved.

Automated summary

In this paper, the authors investigate the transient temperature response of a cracked plate under thermal shock using a non-Fourier heat transfer theory. They develop a peridynamic model that considers the non-Fourier effect, the orthotropy of thermal conductivity, and the crack thermal resistance. The model avoids spatial derivatives and is efficient for analyzing problems with discontinuities.