Coupled Systems Mechanics

Volume 11, Number 5, 2022, pages 459-483

DOI: 10.12989/csm.2022.11.5.459

Photothermoelastic interactions under Moore-Gibson-Thompson thermoelasticity

Rajneesh Kumar, Nidhi Sharma and Supriya Chopra

Abstract

In the present work, a new photothermoelastic model based on Moore-Gibson-Thompson theory has been constructed. The governing equations for orthotropic photothermoelastic plate are simplified for two-dimension model. Laplace and Fourier transforms are employed after converting the system of equations into dimensionless form. The problem is examined due to various specified sources. Moving normal force, ramp type thermal source and carrier density periodic loading are taken to explore the application of the assumed model. Various field quantities like displacements, stresses, temperature distribution and carrier density distribution are obtained in the transformed domain. The problem is validated by numerical computation for a given material and numerical obtained results are depicted in form of graphs to show the impact of various theories of thermoelasticity along with impact of moving velocity, ramp type and periodic loading parameters. Some special cases are also explored. The results obtained in this paper can be used to design various semiconductor elements during the coupled thermal, plasma and elastic wave and other fields in the material science, physical engineering.

Key Words

carrier density loading; Fourier transform; Laplace transform; Moore-Gibson-Thompson thermoelastic model; moving normal force; photothermoelastic orthotropic; ramp type thermal source

Address

Rajneesh Kumar: Department of Mathematics, Kurukshetra University, Kurukshetra, Haryana, India Nidhi Sharma: Department of Mathematics, Maharishi Markandeshwar University, Mullana, Ambala, Haryana, India Supriya Chopra: Department of Mathematics, Government College for Women, Ambala city, Haryana, India