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http://dx.doi.org/10.12989/sem.2006.23.5.525

Spherically symmetric transient responses of functionally graded magneto-electro-elastic hollow sphere  

Wang, H.M. (Department of Mechanics, Zhejiang University)
Ding, H.J. (Department of Civil Engineering, Zhejiang University)
Publication Information
Structural Engineering and Mechanics / v.23, no.5, 2006 , pp. 525-542 More about this Journal
Abstract
On the basis of equilibrium equations for static electric and magnetic fields, two unknown functions related to electric and magnetic fields were firstly introduced to rewrite the governing equations, boundary conditions and initial conditions for mechanical field. Then by introducing a dependent variable and a special function satisfying the inhomogeneous mechanical boundary conditions, the governing equation for a new variable with homogeneous mechanical boundary conditions is obtained. By using the separation of variables technique as well as the electric and magnetic boundary conditions, the dynamic problem of a functionally graded magneto-electro-elastic hollow sphere under spherically symmetric deformation is transformed to two Volterra integral equations of the second kind about two unknown functions of time. Cubic Hermite polynomials are adopted to approximate the two undetermined functions at each time subinterval and the recursive formula for solving the integral equations is derived. Transient responses of displacements, stresses, electric and magnetic potentials are completely determined at the end. Numerical results are presented and discussed.
Keywords
hollow sphere; magneto-electro-elastic; functionally graded materials; transient response;
Citations & Related Records

Times Cited By Web Of Science : 5  (Related Records In Web of Science)
Times Cited By SCOPUS : 4
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