On the Elastic Waves with the Discrepancy between Tangential Displacements at the Junction of Two-Dimensional Layered Media

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In this article, we propose the existence of some dispersive Rayleigh-waves propagated within the superficial layer of two-dimensional layered media. They are not only M-waves and M舀 -waves taken as the unique solutions whenever some physical constants are given, but also the other elastic waves propagated with some slide at the junction. If we regard M-waves and M舀 -waves with no slide whatever at the junction as the upper limit, we may regard some elastic waves with such slide that makes the strainenergy of the whole elastic system minimum as the lower limit. In this article, we shall find the lower limit and illustrate the solutions of such elastic waves are not unique but exist in certain ranges.

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