Analytical Investigation Thermal and Mechanical Stresses of Steady-State in 2D-FGPPMS and 2D-PPMS for a Hollow Infinite Cylinder

Subject Areas : Solid Mechanics

Mohsen Meshkini ^{1 *}

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Received: 2025-09-20 Accepted : 2025-09-21 Published : 2025-09-12

Keywords: Functionally graded Material, Piezoelectric, Porothermoelastisity, Hollow cylinder.,

Abstract :

This paper presents a lecture review on the analytical solution of steady-state thermo-mechanical behavior in a hollow infinite cylinder composed of functionally graded poro-piezoelectric materials (2D-FGPPMs) and conventional poro-piezoelectric materials (2D-PPMs). The study is developed within the theoretical framework of two-dimensional thermoelasticity and aims to provide a comprehensive understanding of the coupled mechanical, thermal, and electrical responses of these advanced multi physics materials. To simulate realistic engineering conditions, general forms of thermal and mechanical boundary conditions are considered on both the inner and outer cylindrical surfaces. The analytical approach employs a direct solution method in which the governing heat conduction equation is solved simultaneously with the non-homogeneous system of partial differential Navier equations. Complex Fourier series expansion, in combination with power-law functions, is used to represent the distributions and to achieve accurate solutions for the asymmetric thermal and mechanical fields.In this formulation, all material properties—except for Poisson’s ratio—are assumed to vary continuously along the radial and circumferential directions according to prescribed power-law distributions. This gradation reflects the functional nature of FGPPMs and captures the intricate coupling between poroelastic, piezoelectric, and thermal effects. The results of this investigation demonstrate the importance of FGPPMs in enhancing the design and optimization of high-performance engineering components. In particular, the findings highlight their potential applications in the development of reliable sensors, actuators, and energy-harvesting devices that operate effectively under complex thermo-electro-mechanical environments [1,2].

References:

[1] Meshkini, M., Firoozbakhsh, K., Jabbari, M. and SelkGhafari, A. (2016). “Asymmetric mechanical and thermal stresses in 2D-FGPPMs hollow cylinder”. Journal of Thermal Stresses.

[2] Meshkini, M., Firoozbakhsh, K., Jabbari, M. and SelkGhafari, A. (2018). “An Analytical investigation of 2D-PPMs Hollow Cylinder under Thermo-Electro-Mechanical Loadings”, Journal of Theoretical and Applied Mechanics.