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

作     者：M. A. NEMATOLLAHI A. DINI M. HOSSEINI 

作者机构：Department of Biosystems EngineeringCollege of AgricultureShiraz UniversityShiraz 71441-65186Iran Department of Mechanical EngineeringFerdowsi University of MashhadMashhad 91775-1111Iran Department of Mechanical EngineeringSirjan University of TechnologySirjan 78137-33385Iran 

出 版 物：《Applied Mathematics and Mechanics(English Edition)》 (应用数学和力学（英文版）)

年 卷 期：2019年第40卷第6期

页      面：751-766页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0805[工学-材料科学与工程（可授工学、理学学位）] 0802[工学-机械工程] 0701[理学-数学] 0801[工学-力学（可授工学、理学学位）] 

主　　题：analytical solution magnetic field thermal loading rotating thick-walled spherical pressure vessel functionally graded material (FGM) 

摘      要：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.