Abstract
In linear isotropic elasticity, cases exist where pure shear waves are possible even in bounded media; these have a nondispersive mode with propagation speed equal to that in an infinite medium. For these cases, consideration of a two-layer medium shows the existence of dispersion which vanishes only with equality of the propagation speeds. The present study uses the method of asymptotic expansions; a uniformly valid approximation is obtained to describe the speed and dispersive nature of these waves. The elegance of this approach is brought out by derivation of the basic result of this study viz., Jeffrey equation to describe the farfield structure of these waves.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Nariboli, G. A., J. Appl. Math. Mech. (ZAMM), 49 (1969) 525.
Nariboli, G. A. and Y. M. Tsai, J. Accoust. Soc. Amer. 47 (1970) 857.
Tsai, Y. M. and G. A. Nariboli, Acta Mech. 13 (1972) 117.
Keller, J. B. and L. Ting, Comm. Pure Appl. Math. 19 (1966) 371.
Nariboli, G. A. and A. Sedov, J. Math. Anal. Appl. 32 (1970) 661.
Nariboli, G. A. and W. C. Lin, A New Type of Burgers' Equation, ERI Preprint No. 72156, 1972. Iowa State University.
Author information
Authors and Affiliations
Additional information
This work was done towards partial fulfillment of the requirements for Ph. D at Iowa State University, Ames, IOWA, in 1972.
Rights and permissions
About this article
Cite this article
Lin, W.C., Nariboli, G.A. Linear dispersive shear waves in two-layer elastic medium. Appl. Sci. Res. 27, 451–462 (1973). https://doi.org/10.1007/BF00382507
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00382507