In the context of wave propagation in damaged (elastic) solids, an analytical approach is developed to study normal penetration of a longitudinal plane wave into a periodic array of rectangular defects. Reducing the problem to some integral equations holding over the base and height of the openings, a direct numerical method is applied to give a complete solution for various exact or approximated forms. Several figures show the peculiarities of the structure and lead to physical conclusions.
In-Plane Wave Propagation Through Elastic Solids With a Periodic Array of Rectangular Defects
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, April 2, 2001; final revision, August 6, 2001. Associate Editor: A. K. Mal. Discussion on the paper should be addressed to the 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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Scarpetta, E., and Sumbatyan, M. A. (August 6, 2001). "In-Plane Wave Propagation Through Elastic Solids With a Periodic Array of Rectangular Defects ." ASME. J. Appl. Mech. March 2002; 69(2): 179–188. https://doi.org/10.1115/1.1430235
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