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.

摘要

本文研究了不同热弹性理论下二维问题中平面波在广义压热弹性介质中传播的一般解。我们已经包括了 Lord-Shulman (LS) 和双相滞后 (DPL) 以及三相滞后 (TPL) 理论。正态模式分析用于获得所考虑变量的精确表达式。物理量的结果已被图形化地说明，以研究内存相关导数的不同内核的影响以及不使用内存相关导数的影响，三相滞后（TPL）的内存相关导数延迟时间的影响，最后(LS)、(DPL) 和 (TPL) 理论之间的比较已在所有分布中进行。