Response of thermoelastic cylindrical cavity in a non-local infinite medium due to a varying heat source

Abstract

The current paper is concerned with a new size-dependent thermoelastic model where the constitutive and the motion equations are modified. The governing equations of the introduced model are derived based on the generalized dual-phase-lag thermoelastic model and non-local elasticity theory. Additionally, the present work is an attempt to investigate a thermoelastic interaction in an infinite medium with a cylindrical cavity based on the proposed model. The cavity surface is traction free and exposed to a time-dependent moving heat source. The analytical formulas for the field quantities are obtained first in the Laplace transform domain. To find the inverse Laplace transform into the physical quantities, a numerical technique is performed. The numerical results are discussed in different cases to highlight the effect of the size -scale parameter and the speed of the heat source on the studied thermo-physical fields.

KEYWORDS:

• Non-local thermoelasticity
• phase-lags
• cylindrical cavity
• moving heat source

Acknowledgments

This project was funded by the Deanship of Scientific Research (DSR), Jouf University, Kingdom of Saudi Arabia, award number (005/40). The authors also, acknowledge with thanks Jouf University, for technical and financial support. We also would like to acknowledge College of Science and Arts, Gurayat for technical support.

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This work was supported by Al Jouf University: [Grant Number 005/40].