Analysis of Thermoelastic Interaction in a Polymeric Orthotropic Medium Using the Finite Element Method

Abstract

In this work, the finite element technique is employed to evaluate the effects of thermal relaxation durations on temperature, displacements, and stresses in a two-dimensional, polymeric, orthotropic, elastic medium. The problem is considered in a homogeneous, polymeric, orthotropic medium in the context of the Green and Lindsay model with two thermal relaxation times. The bounding surface of the half-space was subjected to a heat flux with an exponentially decaying pulse. Finite element techniques were used to solve the governing formulations, with eight-node isoparametric rectangular elements with three degrees of freedom (DOF) per node. The developed method was calculated using numerical results applied to the polymeric, orthotropic medium. The findings were implemented and visually shown. Finally, the results were displayed to demonstrate the differences between classical dynamic coupling (CT), the Lord–Shulman (LS) and the Green and Lindsay (GL) models.

Thermal Conductivity Study of an Orthotropic Medium Containing a Cylindrical Cavity

“…Said [28] compared three theories using the eigenvalue technique to a problem of magneto-thermoelastic spinning media with changing thermal conductivity. Abbas et al [29] have applied the finite element approach to study thermoelastic interactions in a polymeric orthotropic material. Zenkour and Abbas [30] have studied the nonlinear transient's thermal stresses analysis of temperature-dependences cylinders by the finite element method.…”