Coupled systems mechanics

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Photothermoelastic interactions under Moore-Gibson-Thompson thermoelasticity

  • Kumar, Rajneesh (Department of Mathematics, Kurukshetra University) ;
  • Sharma, Nidhi (Department of Mathematics, Maharishi Markandeshwar University) ;
  • Chopra, Supriya (Department of Mathematics, Government College for Women)
  • Received : 2022.01.17
  • Accepted : 2022.07.17
  • Published : 2022.10.25
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Abstract

In the present work, a new photothermoelastic model based on Moore-Gibson-Thompson theory has been constructed. The governing equationsfor 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 varioustheories 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 otherfieldsin thematerialscience, physical engineering.

Keywords

Acknowledgement

Authors are thankful to the reviewers for their valuable suggestions which helped the author's improve the quality of manuscript. There is no funding.

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