Mechanical and Thermal Analysis of FGPPM in Hollow Cylinder under symmetric and Non-axisymmetric loads

Subject Areas : Solid Mechanics

Mohsen Meshkini ^{1 *}

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Received: 2025-09-20 Accepted : 2025-09-22 Published : 2025-09-22

Keywords: FGM, Piezoelectric, porothermoelastisity, Hollow cylinder.,

Abstract :

This lecture review examines the analytical investigation of mechanical and thermal stresses in hollow cylinders made of functionally graded porous piezoelectric materials (FGPPMs). The study synthesizes findings from two research papers that developed direct solution methodologies for radially symmetric (1D) and non-axisymmetric (2D) loading scenarios. The research addresses multi-physics coupling between elastic deformation, piezoelectric effects, porous pressure interactions, and thermal expansion in materials with power law property variations. The analytical framework employs complex Fourier series expansion and successfully overcomes limitations of traditional potential function methods. Key findings reveal that material grading significantly influences stress distributions, with critical power law indices determining transition behaviors in hoop stress patterns. The compressibility coefficient (B) and pore volume fraction (φ) substantially modify both mechanical and electrical responses. Temperature distributions, displacement patterns, and electric potential variations demonstrate strong dependence on material grading parameters. The studies validate analytical solutions through comparison with finite volume numerical methods, showing excellent agreement for temperature, radial stress, and circumferential stress distributions. The developed methodology provides engineers with powerful tools for optimizing FGPPM structures in applications including medical ultrasonic devices, nondestructive testing equipment, underwater acoustic systems, and pressure vessel technology. This work represents a significant advancement in smart materials analysis and establishes new paradigms for multi-physics modeling of advanced engineering materials. Future research directions include dynamic analysis extensions and experimental validation of theoretical predictions [1,2].

References:

[1] Mechanical and Thermal Stresses in FGPPM Hollow Cylinder Due to Radially Symmetric Loads" (2015) ,jabbari,M. Meshkini.M and Eslami.MR, Journal of Pressure Vessel Technology (ASME).
[2] Nonaxisymmetric Mechanical and Thermal Stresses in FGPPM Hollow Cylinder" (2012),jabbari,M. Meshkini.M and Eslami.MR, Journal of Pressure Vessel Technology (ASME).