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New Modified Couple Stress Theory of Thermoelasticity with Hyperbolic Two Temperature

Author

Listed:
  • Iqbal Kaur

    (Department of Mathematics, Government College for Girls Palwal, Kurukshetra 136118, Haryana, India)

  • Kulvinder Singh

    (Department of Computer Science & Engineering, University Institute of Engineering & Technology, Kurukshetra University, Kurukshetra 136119, Haryana, India)

  • Eduard-Marius Craciun

    (Faculty of Mechanical, Industrial and Maritime Engineering, “Ovidius” University of Constanta, 900527 Constanta, Romania)

Abstract

This paper deals with the two-dimensional deformation in fibre-reinforced composites with new modified couple stress thermoelastic theory (nMCST) due to concentrated inclined load. Lord Shulman heat conduction equation with hyperbolic two temperature (H2T) has been used to form the mathematical model. Fourier and Laplace transform are used for obtaining the physical quantities of the mathematical model. The expressions for displacement components, thermodynamic temperature, conductive temperature, axial stress, tangential stress and couple stress are obtained in the transformed domain. A mathematical inversion procedure has been used to obtain the inversion of the integral transforms using MATLAB software. The effects of hyperbolic and classical two temperature are shown realistically on the various physical quantities.

Suggested Citation

  • Iqbal Kaur & Kulvinder Singh & Eduard-Marius Craciun, 2023. "New Modified Couple Stress Theory of Thermoelasticity with Hyperbolic Two Temperature," Mathematics, MDPI, vol. 11(2), pages 1-17, January.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:2:p:432-:d:1035258
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    References listed on IDEAS

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    1. Grzegorz Ludwik Golewski, 2021. "The Beneficial Effect of the Addition of Fly Ash on Reduction of the Size of Microcracks in the ITZ of Concrete Composites under Dynamic Loading," Energies, MDPI, vol. 14(3), pages 1-14, January.
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