Perturbation technique in thermoelastic analysis of thick cylinders under various boundary conditions using shear deformation and temperature theories

Mahmoodi, Moslem; Ghannad, Mehdi; Zamani Nejad, Mohammad

doi:10.30506/jmee.2025.2052983.1370

Perturbation technique in thermoelastic analysis of thick cylinders under various boundary conditions using shear deformation and temperature theories

Articles in Press

Document Type : Research Paper

Authors

Moslem Mahmoodi ¹

Mehdi Ghannad ²

Mohammad Zamani Nejad ³

¹ PhD Student, Faculty of Mechanical Engineering, Shahrood University of Technology, Shahrood, Iran

² Professor, Faculty of Mechanical Engineering, Shahrood University of Technology, Shahrood, Iran

³ Associate Professor, Faculty of Mechanical Engineering, Yasouj University, Yasouj, Iran

10.30506/jmee.2025.2052983.1370

Abstract

This paper analyzes the thermoelasticity of the thick-walled cylindrical shell under pressure and thermal loading on the inner surface of the shell. First-order shear deformation and First-order temperature theories are used to determine the displacement and temperature fields, respectively, which include displacement and temperature changes along the length and thickness of the shell. The system's governing equations and boundary conditions have been derived utilizing the energy method. The system of governing differential equations was solved using the analytical process of matched asymptotic method of perturbations technique. The mechanical and temperature behavior of the cylindrical shell has been analyzed by solving the equations and obtaining the displacement and temperature parameters. The analytical solution was then compared with the numerical solution, showing a substantial similarity in behavior. Moreover, the effectiveness of the proposed method in addressing axisymmetric cylindrical shells under various boundary conditions and thermo-mechanical loading is demonstrated. Examining the shell's mechanical and thermal behavior reveals that shear stress changes significantly near the boundaries, and both displacement and temperature fields are influenced by the cylindrical shell's length.

Keywords

Thermoelasticity

Thick cylinders

Shear deformation theory

Perturbation technique

Matched asymptotic method (MAM)

Subjects