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Modified Moore–Gibson–Thompson Thermoelastic Model with Hyperbolic Two Temperatures Effect on Semiconducting Thermoelastic Solid Cylinder

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Abstract

The goal of this study is to examine the photo-thermoelastic interactions in an infinite semiconducting solid cylinder with rotation subjected to an exponential laser pulse as a variable heat flux along the boundary surface. A Moore-Gibson-Thompson-Photo-Thermal (MGTPT) equation with hyperbolic two temperatures is used to express the equations that govern heat conduction in deformable bodies based on the difference between conductive and dynamic temperature acceleration. Proposed mathematical model is solved in a transformed domain using the Laplace transform. For computing displacement components, conductive temperature, thermal stresses, and carrier density in the physical domain, numerical inversion is used. A graphic representation of all the parameters are generated using MATLAB software to illustrate the effect of thermal relaxations as well as different theories of thermoelasticity with two temperatures.

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Authors and Affiliations

  1. Faculty of Mathematics, Government College for Girls, Palwal, Kurukshetra, India

    Iqbal Kaur

  2. Faculty of Engineering, UIET, Kurukshetra University, Haryana, India

    Kulvinder Singh

Authors
  1. Iqbal Kaur
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  2. Kulvinder Singh
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Corresponding authors

Correspondence to Iqbal Kaur or Kulvinder Singh.

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CONFLICT OF INTEREST

The authors declare that they have no conflicts of interest.

AUTHORS’ CONTRIBUTIONS

Iqbal Kaur: Idea formulation, Conceptualization, Formulated strategies for mathematical modelling, methodology refinement, Formal analysis, Validation, Writing- review and editing.

Kulvinder Singh: Conceptualization, Effective literature review, Experiments and Simulation, Investigation, Methodology, Software, Supervision, Validation, Visualization, Writing - original draft.

Both authors read and approved the final manuscript.

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Kaur, I., Singh, K. Modified Moore–Gibson–Thompson Thermoelastic Model with Hyperbolic Two Temperatures Effect on Semiconducting Thermoelastic Solid Cylinder. Mech. Solids 58, 1723–1737 (2023). https://doi.org/10.3103/S0025654423600745

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