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Abstract <p>In this paper, we talked about the fractional thermoelastic deformation of double-porous material with two-phase-lag by using a mathematical model of an infinite plate that is being acted upon by a normal thermomechanical force. We have used the eigen-value method by applying the Laplace and Fourier transforms to solve the problem, which led to the finding of the transformed form of the solution. A computer program in MATLAB is used for the numerical inversion of the integral transforms to get the solution numerically for a certain model. We considered the numerical results and made graphs to show how the fractional order parameter and the double porous parameter changed the stress and temperature patterns. It is identified that the fractional order parameter and the medium’s double porosity have a substantial effect on the stress and temperature distribution in the plate.</p>

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A Dual-Phase-Lag Model of an Infinite Plate of a Thermoelastic Medium with Double-Porosity and Fractional Time Derivative

  • 期刊论文

  • 发表日期：

    2025年6月1日

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  • Aseem Miglani,
  • Rajneesh Kumar,
  • Amarjyot Kaur,
  • Monika Kalra

摘要

Abstract

In this paper, we talked about the fractional thermoelastic deformation of double-porous material with two-phase-lag by using a mathematical model of an infinite plate that is being acted upon by a normal thermomechanical force. We have used the eigen-value method by applying the Laplace and Fourier transforms to solve the problem, which led to the finding of the transformed form of the solution. A computer program in MATLAB is used for the numerical inversion of the integral transforms to get the solution numerically for a certain model. We considered the numerical results and made graphs to show how the fractional order parameter and the double porous parameter changed the stress and temperature patterns. It is identified that the fractional order parameter and the medium’s double porosity have a substantial effect on the stress and temperature distribution in the plate.