Revisiting the elastic solution for an inner-pressured functionally graded thick-walled tube within a uniform magnetic field

作     者：Libiao XIN Yanbin LI Dongmei PAN Guansuo DUI Chengjian JU 

作者机构：Shanxi Key Laboratory of Material Strength & Structural Impact College of MechanicsTaiyuan University of Technology National Demonstration Center for Experimental Mechanics Education College of Mechanics Taiyuan University of Technology Applied Mechanics of Materials Laboratory Department of Mechanical EngineeringTemple University Department of Civil and Environmental Engineering University of Houston Institute of Mechanics Beijing Jiaotong University 

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

年 卷 期：2018年第39卷第10期

页      面：1485-1498页

核心收录：

学科分类：08[工学] 080102[工学-固体力学] 0801[工学-力学（可授工学、理学学位）] 

基　　金：supported by the National Natural Science Foundation of China(No.11772041) 

主　　题：functionally graded material(FGM) thick-walled tube elasticity solution magnetic field perturbation of magnetic field vector 

摘      要：In this paper, the mechanical responses of a thick-walled functionally graded hollow cylinder subject to a uniform magnetic field and inner-pressurized loads are studied. Rather than directly assume the material constants as some specific function forms displayed in pre-studies, we firstly give the volume fractions of different constituents of the functionally graded material(FGM) cylinder and then determine the expressions of the material constants. With the use of the Voigt method, the corresponding analytical solutions of displacements in the radial direction, the strain and stress components, and the perturbation magnetic field vector are derived. In the numerical part, the effects of the volume fraction on the displacement, strain and stress components, and the magnetic perturbation field vector are investigated. Moreover, by some appropriate choices of the material constants, we find that the obtained results in this paper can reduce to some special cases given in the previous studies.