The propagation of SH waves in a three-layered medium containing an interlayer between two semi-infinite solids with frictional contact interfaces is studied. The incident wave, which propagates through the layer from one half-space to another with subcritical angle, is assumed to be strong enough so that friction may be broken, and the local slip may take place at the interfaces. The mixed boundary conditions involving inequalities and unknown intervals lead to a set of recurrence relations. Special examples are given for the case of identical materials to illustrate the mathematical procedure to obtain final results. The interface tractions and relative slip velocities are presented. The interaction between the two interfaces is discussed. It is shown that the slip of the interface near the incident wave may restrain the slip of the interface far from the incident wave, while that the latter may facilitate the former. We also find the instability of the system for similar values of the two interface friction coefficients. Finally, the energy transmitted through the interlayer and dissipated by the friction of the two interfaces are examined.
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September 1999
Technical Papers
Transmission of SH Waves Through an Elastic Layer Between Two Solids With Frictional Contact Interfaces
Y.-S. Wang,
Y.-S. Wang
Institute of Engineering Mechanics, Northern Jiaotong University, Beijing 100044, P. R. China
yswang@center.njtu.edu.cn
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G.-L. Yu
G.-L. Yu
Department of Civil Engineering, Northern Jiaotong University, Beijing 100044, P. R. China
Search for other works by this author on:
Y.-S. Wang
Institute of Engineering Mechanics, Northern Jiaotong University, Beijing 100044, P. R. China
yswang@center.njtu.edu.cn
G.-L. Yu
Department of Civil Engineering, Northern Jiaotong University, Beijing 100044, P. R. China
J. Appl. Mech. Sep 1999, 66(3): 729-737 (9 pages)
Published Online: September 1, 1999
Article history
Received:
January 13, 1998
Revised:
November 28, 1998
Online:
October 25, 2007
Citation
Wang, Y., and Yu, G. (September 1, 1999). "Transmission of SH Waves Through an Elastic Layer Between Two Solids With Frictional Contact Interfaces." ASME. J. Appl. Mech. September 1999; 66(3): 729–737. https://doi.org/10.1115/1.2791686
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