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<p>This article investigates the stress, deflection, and frequency characteristics of functionally graded piezoelectric tapered (FGPT) plates with porosity under thermoelectric and mechanical loading. A sigmoid law is used to define the piezoelectric and thermal properties, and the displacement field is based on a modified first-order shear deformation theory (FSDT) with the virtual displacement principle to develop the governing equation of the FGPT plate. To address boundary conditions, combined thermoelectric loading, and various elastic foundations, higher-order finite element (HOFE) formulations with 63 degrees of freedom (DOF) per element are utilized to obtain solutions for the porous FGPT plate. An assessment and convergence study has been conducted to ensure the accuracy and usefulness of the present study. The results detail the impacts of thickness and tapered ratio, porosity, electric and thermal loading, and boundary conditions. These findings reveal that these parameters significantly affect the static and vibration behavior of FGPT plates, highlighting the importance of this study for smart structure applications involving porous materials. Ultimately, the study is highly valuable in scenarios where achieving an optimal stiffness-to-weight ratio is a key objective. Additionally, this study is particularly suitable for understanding the distinctive interaction of porosity, piezoelectric effects, thermoelectric coupling, and foundation parameters, which can provide foundational insights into designing efficient, multifunctional materials and structures such as smart structures, energy harvesters, and biomedical devices as flexible sensors.</p>

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One/two/three elastic foundations and thermoelectric effect on bending, deflection, and frequency responses of porous functionally graded piezoelectric tapered (FGPT) plate

  • 期刊论文

  • 发表日期：

    2025年9月2日

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  • Pawan Kumar,
  • Bikramjit Singh,
  • S. P. Harsha

摘要

This article investigates the stress, deflection, and frequency characteristics of functionally graded piezoelectric tapered (FGPT) plates with porosity under thermoelectric and mechanical loading. A sigmoid law is used to define the piezoelectric and thermal properties, and the displacement field is based on a modified first-order shear deformation theory (FSDT) with the virtual displacement principle to develop the governing equation of the FGPT plate. To address boundary conditions, combined thermoelectric loading, and various elastic foundations, higher-order finite element (HOFE) formulations with 63 degrees of freedom (DOF) per element are utilized to obtain solutions for the porous FGPT plate. An assessment and convergence study has been conducted to ensure the accuracy and usefulness of the present study. The results detail the impacts of thickness and tapered ratio, porosity, electric and thermal loading, and boundary conditions. These findings reveal that these parameters significantly affect the static and vibration behavior of FGPT plates, highlighting the importance of this study for smart structure applications involving porous materials. Ultimately, the study is highly valuable in scenarios where achieving an optimal stiffness-to-weight ratio is a key objective. Additionally, this study is particularly suitable for understanding the distinctive interaction of porosity, piezoelectric effects, thermoelectric coupling, and foundation parameters, which can provide foundational insights into designing efficient, multifunctional materials and structures such as smart structures, energy harvesters, and biomedical devices as flexible sensors.