An exact closed-form solution is obtained for the transient response of an infinite isotropic elastic medium containing a spherical cavity subjected to torsional surface loading using the residual variable method. The main advantage of the present approach is that it eliminates the computational problems arising in the existing methods which are primarily based on Fourier or Laplace transformation techniques. Extensive numerical results for the circumferential displacements and shear stresses at various locations are presented graphically for Heaviside loadings. [S0021-8936(00)01102-8]
Transient Response of an Infinite Elastic Medium Containing a Spherical Cavity Subjected to Torsion
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, November 20, 1998; final revision, December 7, 1999. Associate Technical Editor: A. K. Mal. Discussion on the paper should be addressed to the Technical Editor, Professor Lewis T. Wheeler, Department of Mechanical Engineering, University of Houston, Houston, TX 77204-4792, 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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Zakout, U., Akkas, Z., and Tupholme, G. E. (December 7, 1999). "Transient Response of an Infinite Elastic Medium Containing a Spherical Cavity Subjected to Torsion ." ASME. J. Appl. Mech. June 2000; 67(2): 282–287. https://doi.org/10.1115/1.1303985
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