Effect of porosity and gradation on transient thermoelastic response of a functionally graded plate: A Lord–Shulman theory-based approach

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Daneshjoo Zahra; Mostafapour Amirmahdi; Tarkashvand Ali; Ghomi Foroushani Amirhossein

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Paper Information

Journal: Journal of Science and Technology of Composites Year:2025 | Volume:12 | Issue:1 Page(s): 2669-2680

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Title

Effect of porosity and gradation on transient thermoelastic response of a functionally graded plate: A Lord–Shulman theory-based approach

Author(s)

Daneshjoo Zahra | Mostafapour Amirmahdi | Tarkashvand Ali | Ghomi Foroushani Amirhossein | Issue Writer Certificate

Keywords

Functionally graded materials

Thermoelasticity

Porous functionally graded plate

State space method

Lord–Shulman theory

Abstract

Functionally graded materials (FGMs) are an advanced class of heterogeneous materials whose mechanical properties vary continuously through the thickness due to gradual changes in the volume fractions of constituent phases. This study investigates the transient thermoelastic response of a porous functionally graded rectangular plate subjected to a time-dependent thermal shock within the framework of the Lord–Shulman generalized Thermoelasticity theory. A comprehensive three-dimensional numerical analysis is carried out using the state-space method in conjunction with the Lord–Shulman model. The coupled governing equations for stress components, displacements, temperature, and heat flux are solved through the differential quadrature method combined with numerical inversion of the Laplace transform, under simply supported boundary conditions. The parametric study explores the influence of porosity type, porosity coefficient, time, and gradation parameter on the spatial distribution and magnitudes of temperature, displacement, and stresses. The results reveal that these parameters significantly affect the transient thermoelastic behavior of the functionally graded plate. Furthermore, optimizing the volume fraction distribution and porosity characteristics can enhance the performance of porous FGM structures. These findings underscore the critical role of structural and material parameters in controlling coupled thermal–mechanical responses and provide practical insights for the optimal design of FGMs in advanced engineering applications.

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