This paper presents an exact solution and an approximate solution, using the expansion of transient wave functions in a series of eigenfunctions, for the transient response of an infinitely long and multilayered circular cylinder subjected to uniformly distributed dynamic pressures at the boundaries. Numerical results are given to illustrate the effects of the layer properties on the interfacial stresses and the spatial and temporal variations of the displacement and stresses. In particular, the exact solution is used to examine the applicability of the thin shell theories to the transient response of multilayered cylinders.
Transient Plane-Strain Response of Multilayered Elastic Cylinders to Axisymmetric Impulse
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, June 20, 2001; final revision, Mar. 6, 2002. Associate Editor: A. K. Mal. Discussion on the paper should be addressed to the Editor, Prof. Robert M. McKeeking, 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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Yin, X. C., and Yue, Z. Q. (October 31, 2002). "Transient Plane-Strain Response of Multilayered Elastic Cylinders to Axisymmetric Impulse ." ASME. J. Appl. Mech. November 2002; 69(6): 825–835. https://doi.org/10.1115/1.1505625
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