Iranian Journal of Mechanical Engineering Transactions of the ISME

Iranian Journal of Mechanical Engineering Transactions of the ISME

Thermoelasticity of Functionally Graded Cylindrical Shells under Axisymmetric Partial Thermal Shock

Document Type : Research Paper

Authors
Mahdi Karimi 1
Mohammad Reza Eslami 2
1 M.Sc. Student, Department of Mechanical Engineering, Amirkabir University of Technology, Tehran, Iran
2 Professor, Department of Mechanical Engineering, Amirkabir University of Technology, Tehran, Iran
10.30506/jmee.2024.2024337.1343
Abstract
In this paper, we investigate the coupled thermoelastic behavior of a cylindrical shell made of functionally graded material subjected to axisymmetric partial heat shock, employing the theory of classical coupled thermoelasticity. The thermal and mechanical properties of the cylindrical FGM shell, graded through its thickness, are assumed to follow a power-law distribution for the metal and ceramic constituents. We consider the second-order shear deformation shell theory, which accounts for transverse shear strains and rotations. The equations of motion are derived from Hamilton’s principle, coupled with the heat conduction equation. These resulting equations are simultaneously solved using the Galerkin finite element method in the spatial domain and Newmark’s numerical method in the temporal domain. Finally, we present the temperature and stress distribution along the shell length over time. The results indicate that an increase in the power-law index, leading to an increase in the ceramic volume proportion, results in a higher vibration frequency and a lower vibration magnitude. These results are validated using known data from the literature.
Keywords
Coupled thermoelasticity
Cylindrical shell
Functionally graded materials
Partial shock

Subjects

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