Memory response on a piezoelectric rod under three-phase-lag model

ABSTRACT

In this article, the concept of the memory-dependent derivative has been utilized to build up the heat equation to investigate the piezoelectric effect on a finite rod. The governing equations are written under the generalized theory of thermoelasticity based on the three-phase-lag model and solved in the Laplace transform domain. The numerical inverse Laplace transformation technique has been adapted to obtain the solution in the space–time domain. The effect of the different choices of kernel functions, time delay and comparison with other models are discussed and represented graphically. It is noted that the field variables attain the maximum amplitudes for the highest values of the time delay for a fixed kernel.

KEYWORDS:

• Memory-dependent derivative
• three-phase-lag model
• piezoelectric material
• Laplace transformation

Disclosure statement

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