Transient thermal cracking associated with non-classical heat conduction in cylindrical coordinate system

Abstract

This paper studies the fracture behavior of a thermoelastic cylinder subjected to a sudden temperature change on its outer surface within the framework of non-classical heat conduction. The heat conduction equation is solved by separation of variable technique. Closed form solution for the temperature field and the associated thermal stress are established. The critical parameter governing the level of the transient thermal stress is identified. Exact expression for the transient stress intensity factor is obtained for a crack in the cylinder. The difference between the non-classical solutions and the classical solution are discussed. It is found that the traditional classical heat conduction considerably underestimates the transient thermal stress and thermal stress intensity factor.

Thermal shock fracture mechanics analysis of a semi-infinite medium based on the dual-phase-lag heat conduction model

“…There are also some pioneering studies of thermal shock fracture mechanics based on the hyperbolic heat conduction theory of equations (1.1) and (1.2). For example, a transient thermal fracture problem corresponding to a semi-infinite medium with a surface crack was studied in [41], a penny-shaped crack in a piezoelectric material was studied in [42], transient thermal cracking associated with non-classical heat conduction in cylindrical coordinate system was studied in [43] and the thermal shock resistance of solids associated with hyperbolic heat conduction theory was investigated in [44]. To the authors' knowledge, the thermal shock fracture problem and associated crack propagation problem was not studied on the basis of the DPL heat conduction model.…”

Non-Fourier Heat Conduction of a Functionally Graded Cylinder Containing a Cylindrical Crack

“…e classical Fourier heat conduction model implies that the thermal wave can propagate instantaneously in the media at an infinite speed, which contradicts physical facts. For crack problems, the application of non-Fourier heat conduction models on homogeneous materials has been reported in some recent literatures [23][24][25][26][27]. Hu and Chen [25] investigated a partially, thermally insulated crack in an elastic strip under a thermal impact loading and studied the possible crack kinking phenomena.…”

“…Hu and Chen [25] investigated a partially, thermally insulated crack in an elastic strip under a thermal impact loading and studied the possible crack kinking phenomena. Wang [26] considered the transient thermal cracking associated with non-classical heat conduction in a cylindrical coordinate system. Hu and Chen [28] analyzed the transient heat conduction of a cracked half-plane using dual-phase-lag (DPL) theory.…”

Inertia effect analysis of a half‐plane with an induced crack under thermal loading using hyperbolic heat conduction

“…In order to make the results more accurate, Chen developed the theory by using hyperbolic heat conduction equations instead of parabolic heat conduction equations. Within the framework of non‐classical heat conduction, Fu obtained the general solutions for the cylinder model with an edge circumferential crack under thermal loading; Wang studies the fracture behavior of a thermoelastic cylinder subjected to a sudden temperature change on its outer surface. On the basis of the found temperature field, the Airy function technique was applied to evaluate the stress concentration around cracks.…”