Wave propagation in diffusive microstretch thermoelasticity

We consider a microstretch elastic material with thermal and mass diffusion at the macro- and microlevel and study plane harmonic in time wave solutions. We have an undamped in time wave for the displacement, the microrotation and the microdilatation in the uncoupled case. The functions accounting for the thermal and diffusive effects are standing waves with the amplitude decaying exponentially with time. We also illustrate some of these waves. Finally, we discuss a particular case by not taking into consideration the effects of rotation, contraction and dilatation of the material particles when some of the coupling coefficients are not null. (C) 2020 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.

Automated summary

This study focuses on a microstretch elastic material with thermal and mass diffusion at both macro- and microlevel, analyzing plane harmonic wave solutions in time. It finds undamped wave solutions for displacement, microrotation, and microdilatation when uncoupled, with functions representing thermal and diffusive effects as standing waves decaying exponentially with time. Additionally, a specific case is discussed where the effects of rotation, contraction, and dilatation of material particles are not considered, with some coupling coefficients being non-null.