Memory response in dual-phase-lag thermoelastic medium due to instantaneous heat source

Abstract

The present work deals with thermoelastic interactions in an isotropic infinite medium with memory-dependent derivative under a dual-phase-lag model. The governing equations are expressed in vector–matrix differential equation (VMDE) form in the Laplace–Fourier transform domain and solved using the eigenvalue approach. Numerical estimations of different thermophysical quantities such as displacement, temperature, and stresses are presented graphically for a coper material by employing the Gaussian quadrature formula and Honig–Hirdes method. Several remarkable points have been mentioned in the graphical representation of the field variables for various kernel functions, time-delay parameters, and magnitude of instantaneous heat source.

Keywords:

• Generalized thermoelasticity
• dual-phase-lag
• memory-dependent derivative
• instantaneous heat source
• eigenvalue approach

Disclosure statement

No potential conflict of interest was reported by the authors.