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Abstract <p>Axially varying functionally graded materials (FGMs) are used in thermal barrier coatings for aeronautical, nuclear, and aviation components. In order to predict how fractional thermoelasticity affects the temperature and stress component and enable the material to withstand temperature gradients without thermal stress or deformation, this thermoelastic problem of functionally graded elliptical annulus plate (FGEAP) models the axial variation in thermal properties. We analyze and quantitatively investigate the heat conduction equation (HCE) under time fractional, framed with certain mixed boundary conditions. Taking into account constant physical features, an analytical solution is found. When dealing with functionally gradient materials, the perturbation approach is used by assuming power law functions for the material characteristics, and numerical data is produced. The Mathieu integral transform, finite Fourier sine transform, and Laplace transform techniques have been used to solve the HCE, and the resulting displacement and thermal stresses are determined. For numerical computations, a model of a ceramic-metal-based FGM in which titanium carbide (TiC) is taken as ceramic and nickel (Ni) as a metal is considered. This study effectively performs the computational and graphical analysis of nonhomogeneous materials, which is necessary to optimize state-of-the-art materials for practical usage.</p>

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Thermal Performance of a Functionally Graded Elliptical Annulus Plate within a Fractional Context: an Analytical and Numerical Approach

  • 期刊论文

  • 发表日期：

    2025年6月1日

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  • P. P. Bhad,
  • V. R. Manthena,
  • A. M. Shende,
  • N. K. Lamba,
  • G. D. Kedar,
  • Ibrahim Abbas

摘要

Abstract

Axially varying functionally graded materials (FGMs) are used in thermal barrier coatings for aeronautical, nuclear, and aviation components. In order to predict how fractional thermoelasticity affects the temperature and stress component and enable the material to withstand temperature gradients without thermal stress or deformation, this thermoelastic problem of functionally graded elliptical annulus plate (FGEAP) models the axial variation in thermal properties. We analyze and quantitatively investigate the heat conduction equation (HCE) under time fractional, framed with certain mixed boundary conditions. Taking into account constant physical features, an analytical solution is found. When dealing with functionally gradient materials, the perturbation approach is used by assuming power law functions for the material characteristics, and numerical data is produced. The Mathieu integral transform, finite Fourier sine transform, and Laplace transform techniques have been used to solve the HCE, and the resulting displacement and thermal stresses are determined. For numerical computations, a model of a ceramic-metal-based FGM in which titanium carbide (TiC) is taken as ceramic and nickel (Ni) as a metal is considered. This study effectively performs the computational and graphical analysis of nonhomogeneous materials, which is necessary to optimize state-of-the-art materials for practical usage.