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

Libiao XIN, Yanbin LI, Dongmei PAN, Guansuo DUI, Chengjian JU

doi:10.1007/s10483-018-2372-8

2018 , Vol. 39 >Issue 10: 1485 - 1498

DOI: https://doi.org/10.1007/s10483-018-2372-8

Articles

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

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1. Shanxi Key Laboratory of Material Strength & Structural Impact, College of Mechanics, Taiyuan University of Technology, Taiyuan 030024, China;
2. National Demonstration Center for Experimental Mechanics Education, College of Mechanics, Taiyuan University of Technology, Taiyuan 030024, China;
3. Applied Mechanics of Materials Laboratory, Department of Mechanical Engineering, Temple University, Philadelphia, Pennsylvania 19122, U. S. A;
4. Department of Civil and Environmental Engineering, University of Houston, Houston, Texas 77204, U. S. A;
5. Institute of Mechanics, Beijing Jiaotong University, Beijing 100044, China

Received date: 2018-04-14

Revised date: 2018-06-18

Online published: 2018-10-01

Supported by

Project supported by the National Natural Science Foundation of China (No. 11772041)

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Abstract

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.

Key words： discrete type; absolute stability; necessary and sufficientcondition; Lune problem; functionally graded material (FGM); thick-walled tube; elasticity solution; magnetic field; perturbation of magnetic field vector

Cite this article

Libiao XIN, Yanbin LI, Dongmei PAN, Guansuo DUI, Chengjian JU . Revisiting the elastic solution for an inner-pressured functionally graded thick-walled tube within a uniform magnetic field[J]. Applied Mathematics and Mechanics, 2018 , 39(10) : 1485 -1498 . DOI: 10.1007/s10483-018-2372-8

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