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

Polymers (Basel). 2022 May 22;14(10):2112. doi: 10.3390/polym14102112.

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.

Keywords: finite element method; governing equations; polymeric orthotropic material; thermal relaxation.

Grants and funding

This research was funded by IFA-MG, grant number 16/2016. The APC was funded by the Transilvania University of Brasov.