Transient responses of a magneto-electro-elastic hollow sphere for fully coupled spherically symmetric problem

18Citations
Citations of this article
3Readers
Mendeley users who have this article in their library.
Get full text

Abstract

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 derived. Then by means of the separation of variables technique and the electric and magnetic boundary conditions, the dynamic problem of a magneto-electro-elastic hollow sphere under spherically symmetric deformation is transformed to two Volterra integral equations of the second kind about two functions of time. Cubic Hermite polynomials are adopted to approximate the two undetermined functions at each time subinterval and the recursive formula is obtained to solve the integral equations successfully. The transient responses of displacements, stresses, electric and magnetic potentials are completely determined at the end. Numerical results are presented. © 2005 Elsevier SAS. All rights reserved.

Cite

CITATION STYLE

APA

Wang, H. M., & Ding, H. J. (2006). Transient responses of a magneto-electro-elastic hollow sphere for fully coupled spherically symmetric problem. European Journal of Mechanics, A/Solids, 25(6), 965–980. https://doi.org/10.1016/j.euromechsol.2005.10.008

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free