The response of a symmetrically layered plate subjected to symmetric step normal line face loads is determined. The solution, which is based on the equations of motion from linear elasticity, is obtained in the form of an infinite series of integrals with each term being the contribution from a branch of the underlying frequency equation. Through numerical analysis several of the lower branches of the frequency equation, which depend on layered plate ratios (four material and one thickness) are evaluated and used to write the transient response in the near field. Integrations based on the first five branches show the dominance of the lowest mode in the solution. Applying arguments of stationary phase to the spectrum, yields low frequency-long wave and high frequency-short wave approximations for use in obtaining the far field-long time disturbance. The former governs a front running “head of the pulse” for the layered plate, and the latter, later arriving Rayleigh and Stoneley waves.
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September 1974
Research Papers
Transient Wave Propagation in a Symmetrically Layered Elastic Plate
D. C. Viano,
D. C. Viano
Biomedical Science Department, General Motors Research Laboratory, Warren, Mich.
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J. Miklowitz
J. Miklowitz
Division of Engineering and Applied Science, California Institute of Technology, Pasadena, Calif.
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D. C. Viano
Biomedical Science Department, General Motors Research Laboratory, Warren, Mich.
J. Miklowitz
Division of Engineering and Applied Science, California Institute of Technology, Pasadena, Calif.
J. Appl. Mech. Sep 1974, 41(3): 684-690 (7 pages)
Published Online: September 1, 1974
Article history
Received:
December 1, 1973
Revised:
March 1, 1974
Online:
July 12, 2010
Citation
Viano, D. C., and Miklowitz, J. (September 1, 1974). "Transient Wave Propagation in a Symmetrically Layered Elastic Plate." ASME. J. Appl. Mech. September 1974; 41(3): 684–690. https://doi.org/10.1115/1.3423371
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