Nonlocal Couple Stress Vibration of Pasted Thermo Elastic Multilayered Cylinder with Hall Current and Multi Dual Phase Lags

Abstract

This investigation aims to develop a thermoelasticity model to analyze the propagation of thermoelastic waves in a composite hollow circular cylinder with an LEMV/CFRP interface layer. The model integrates a modified non-local couple stress theory to address challenges related to higher-order time derivatives. The derivation yields three partial differential equations governing the modified non-local couple stress of the cylinder in axisymmetric mode. By applying linear elasticity theory, these equations are solved to derive frequency equations for the cylinder’s external surface under traction-free conditions while ensuring boundary continuity. The study investigates how variations in wave number and thickness affect the frequency, temperature, and displacements within the field. To evaluate the impact of different thermoelasticity theories and non-local coupled stress parameters, the research employs tables and graphs for comparison and estimation. These visual aids provide valuable insights into the behavior of the composite cylinder across various scenarios.