Thermo-magnetic analysis of thick-walled spherical pressure vessels made of functionally graded materials

• Published in: Applied mathematics and mechanics Vol. 40; no. 6; pp. 751 - 766
• Main Authors: Nematollahi, M. A., Dini, A., Hosseini, M.
• Format: Journal Article
• Language: English
• Published: Shanghai Shanghai University 01.06.2019; Springer Nature B.V; Department of Biosystems Engineering,College of Agriculture,Shiraz University,Shiraz 71441-65186,Iran%Department of Mechanical Engineering,Ferdowsi University of Mashhad,Mashhad 91775-1111,Iran%Department of Mechanical Engineering,Sirjan University of Technology,Sirjan 78137-33385,Iran
• Edition: English ed.
• Subjects: Angular velocity; Applications of Mathematics; Classical Mechanics; Differential equations; Displacement; Equilibrium equations; Exact solutions; Fluid flow; Fluid- and Aerodynamics; Functionally gradient materials; Internal pressure; Lorentz force; Magnetic fields; Magnetic properties; Magnetism; Material properties; Mathematical Modeling and Industrial Mathematics; Mathematics; Mathematics and Statistics; Ordinary differential equations; Partial Differential Equations; Pressure vessels; Rotating spheres; Thermal stress; Thick walls; Vessels; 83C15; 74F05; magnetic field; 74F15; 74D05; O175; rotating thick-walled spherical pressure vessel; analytical solution; thermal loading; functionally graded material (FGM)
• ISSN: 0253-4827; 1573-2754
• DOI: 10.1007/s10483-019-2489-9

This study presents an analytical solution of thermal and mechanical displacements, strains, and stresses for a thick-walled rotating spherical pressure vessel made of functionally graded materials (FGMs). The pressure vessel is subject to axisymmetric mechanical and thermal loadings within a uniform magnetic field. The material properties of the FGM are considered as the power-law distribution along the thickness. Navier's equation, which is a second-order ordinary differential equation, is derived from the mechanical equilibrium equation with the consideration of the thermal stresses and the Lorentz force resulting from the magnetic field. The distributions of the displacement, strains, and stresses are determined by the exact solution to Navier's equation. Numerical results clarify the influence of the thermal loading, magnetic field, non-homogeneity constant, internal pressure, and angular velocity on the magneto-thermo-elastic response of the functionally graded spherical vessel. It is observed that these parameters have remarkable effects on the distributions of radial displacement, radial and circumferential strains, and radial and circumferential stresses.