Analysis of Wave Motion and Deformation in a Nonlocal Micropolar Poro-Thermoelastic Plate with Three Memory-Dependent Theories

Abstract

This article presents the impact of nonlocal parameters (NLP) on wave motion and deformation in a micropolar porous thermoelastic plate under memory-dependent derivatives (MDD). The basic equations are converted into dimensionless form and solved using normal form analysis. Two cases of boundary conditions, namely boundary conditions for stress free boundaries and boundary conditions for thermo-mechanical loading, are considered. The first case of boundary conditions is employed to formulate the propagation equations for symmetric and anti-symmetric systems. The phase velocity and attenuation coefficient under Lord–Shulman (LS), Green–Lindsay (GL) and dual-phase-lag (DPL) theories are examined for the first case. In the second case, thermomechanical conditions have been considered to derive the analytical terms for force stresses, couple stresses, volume fraction, and temperature. The analytically obtained results are numerically analyzed for aluminium–epoxy material under three memory-dependent theories. To depict the impact of nonlocal parameters, comparisons between DPL theory with NLP and DPL theory without NLP are shown graphically.