Nonlocal effects in a functionally graded thermoelastic layer due to volumetric absorption laser

Abstract

The primary focus of the present contribution is to develop a new system of differential equations describing the nonlocal thermoelasticity theory. The problem deals with the thermoelastic interaction in a nonhomogeneous thermoelastic layer induced by absorbing penetrating laser radiation throughout its volume. The heat conduction equation has been formulated in the context of memory dependent three-phase lag model. The surfaces of the layer are thermally insulated and free of traction. Employing the integral Laplace transform technique, the solutions of the field quantities have been achieved in the transformed domain. The corresponding solutions in the space–time domain have been derived using the numerical inversion of the Laplace transform by Riemann-sum approximation technique. The numerical estimates of the field quantities have been depicted graphically to address the effects of nonlocality and memory effects on the temperature profile, displacement and stress components. The effect of the delay time, nonhomogeneity and various choices of linear and nonlinear kernel functions in the heat transport law have also been reported.

Keywords:

• Nonlocal heat conduction
• volumetric absorption
• laser radiation
• Riemann-sum technique
• memory-dependent derivative

Acknowledgments

The authors would like to thank the Editor and the anonymous referees for their comments and suggestions on this paper.

Disclosure statement

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