Abstract
A train of plane waves travels in an elastic semi-infinite medium bounded by a corrugated line having a sinusoidal shape. When the primary waves impinge against the surface, a new train of reflected waves is generated, and the question arises of determining the effect of roughnesses of the boundary on the shape and amplitude of the reflected waves.
The case of perpendicular incidence may be treated without difficulty by extending a solution found by Rayleigh [2, Art. 272] for reflection of sound waves from a corrugated surface.
Sommario
Un treno d'onde piane viaggia in un mezzo elastico semi-indefinito limitato da una linea corrugata di forma sinusoidale. Quando l'onda primaria urta contro la frontiera, si genera un nuovo treno d'onde, e si pone la questione di determinare l'effetto della rugosità del contorno sulla forma e l'ampiezza delle onde rillesse.
Il caso di incidenza perpendicolare si può trattare senza difficoltà estendendo una soluzione trovata da Rayleigh [2, Art. 272] sulla riflessione delle onde sonore da parte di una superficie corrugata.
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References
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Neuber, H.,Kerbspannungslehre (3rd edn), Springer, Berlin, Heidelberg, New York, Tokyo, 1985.
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Villaggio, P. Elastic waves against a corrugated boundary. Meccanica 28, 153–157 (1993). https://doi.org/10.1007/BF01020327
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DOI: https://doi.org/10.1007/BF01020327