Memory dependent derivative effect on generalized piezo-thermoelastic medium under three theories
Sudip Mondal, Mohamed I. A. Othman
Abstract
In this paper, a general solution for the propagation of plane waves in the generalized piezo-thermoelastic medium for the two-dimensional problem under the different thermoelastic theories is investigated. We have included Lord-Shulman (L-S) and dual-phase lag (DPL) and three-phase lag (TPL) theories. The normal mode analysis is used to obtain the exact expressions for the considered variables. The results of the physical quantities have been illustrated graphically to study the effect of different kernel of memory dependent derivative along with memory dependent derivative is not used, the effect of delay times of memory dependent derivative for three-phase-lag (TPL) and finally comparisons between (L-S), (DPL) and (TPL) theories have been made in all the distribution.