By virtue of the separation of variables technique, the spherically symmetric electroelastic dynamic problem of a spherically isotropic hollow sphere is transformed to an integral equation about a function with respect to time, which can be solved successfully by means of the interpolation method. Then the solution of displacements, stresses, electric displacements, and electric potential are obtained. The present method is suitable for a piezoelectric hollow sphere with an arbitrary thickness subjected to spherically symmetric electric potential and radial mechanical loads, that both can be arbitrary functions about the time variable, at the internal and external surfaces.
Transient Responses in a Piezoelectric Spherically Isotropic Hollow Sphere for Symmetric Problems
Contributed by the Applied Mechanics Division of THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS for publication in the ASME JOURNAL OF APPLIED MECHANICS. Manuscript received by the ASME Applied Mechanics Division, Jan. 30, 2002; final revision, Sept. 15, 2002. Associate Editor: A. K. Mal. Discussion on the paper should be addressed to the Editor, Prof. Robert M. McMeeking, Department of Mechanical and Environmental Engineering University of California–Santa Barbara, Santa Barbara, CA 93106-5070, and will be accepted until four months after final publication of the paper itself in the ASME JOURNAL OF APPLIED MECHANICS.
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Ding, H. J., Wang, H. M., and Chen, W. Q. (June 11, 2003). "Transient Responses in a Piezoelectric Spherically Isotropic Hollow Sphere for Symmetric Problems ." ASME. J. Appl. Mech. May 2003; 70(3): 436–445. https://doi.org/10.1115/1.1554415
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