Abstract
In this article, the dynamic temperature and thermal stresses around a crack in a substrate bonded to a coating are obtained using the hyperbolic heat conduction theory. Fourier and Laplace transforms are applied and the hyperbolic heat conduction and thermoelastic crack problems are reduced to solving singular integral equations. The overshooting phenomenon is observed and the crack kinking phenomenon under thermal loading is investigated by applying the criterion of maximum hoop stress. Numerical results show that the hyperbolic heat conduction parameters and the geometric size of the composite have significant influence on the dynamic stress field. It seems that high temperature loading on the surface may lead to crack kinking away from the surface and low temperature loading may cause crack kinking toward the coating. Moreover, the hyperbolic heat conduction theory may give more conservative results than that the Fourier heat conduction theory.
Highlights
High-rate heat transfer has become a major concern in modern industries especially in material processing, such as the pulsed laser heat and ultrasonic waves, and accurate heat conduction analysis is of great importance for the material and structural integrity
The crack kinking phenomenon is investigated by applying the criterion of maximum hoop stress
When the temperature loading on the surface of the coating is positive, the maximum hoop stress appears at the angle θ = +60 degrees, which indicates that the crack may kink in this direction; when a negative temperature is applied on the coating surface, the hoop stress reaches the maximum value at the angle θ = −70 degrees, which means that the crack may kink toward the coating in this direction
Summary
High-rate heat transfer has become a major concern in modern industries especially in material processing, such as the pulsed laser heat and ultrasonic waves, and accurate heat conduction analysis is of great importance for the material and structural integrity. Consideration of the hyperbolic heat conduction model becomes important if irreversible physical processes, such as crack or void initiation in a solid, are involved in the process of heat transport. Some investigations on crack problems in thermo-elastic materials have been made using the hyperbolic heat conduction model. A thermo-elastic analysis of a cracked substrate under a thermal shock was given in Chen and Hu [6] based on the hyperbolic heat conduction theory; and based on the same theory the transient temperature and thermal stresses around a partially insulated crack in a thermoelastic strip under a temperature impact were obtained [7]. The transient temperature field around a thermally insulated crack in a substrate bonded to a coating has been obtained by using the hyperbolic heat conduction model [8]. The thermo-elastic problem of a cracked substrate bonded by a coating under transient thermal loading is studied in this paper using the hyperbolic heat conduction model. The crack kinking phenomenon is investigated by applying the criterion of maximum hoop stress
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
