Summary
Transmission and reflexion of plane acoustic waves through a longitudinal shock wave in elastic isotropic solids are investigated. As a result, the amplitude of the transmitted and reflected waves and the jump of the acceleration of the shock are explicitly determined.
Résumé
On envisage la transmission et la réflexion d'une onde acoustique plane par une onde de choc longitudinale dans les solides élastiques isotropes. On détermine explicitement l'amplitude des ondes transmises et réflechies et le saut de l'acceleration du choc.
References
D. I. Blokhintsev, Dokl. Akad. Nauk SSSR47, 22 (1945).
J. M. Burgers, Proc. Ned. Akad. Wet.49, 273 (1946).
S. P. D'iakov, Sov. Phys. JETP6, 729 (1958).
V. M. Kontorovich, Sov. Phys. Acoustics5, 320 (1959).
S. R. Aslanov, Sov. Phys. Dok.11, 563 (1967).
G. W. Swan andG. R. Fowles, Phys. Fluids11, 28 (1975).
J. F. McKenzie andK. O. Westphal, Phys. Fluids11, 2350 (1968).
W. K. van Moorhem andA. R. George. J. Fluid Mech68, 97 (1975).
A. Jeffrey,Quasilinear Hyperbolic Systems and Waves, Pitman Publ., London (1976).
L. Brun, inMechanical Waves in Solids, (ed. J. Mandel and L. Brun), Springer-Verlag, Wien (1975).
P. D. Lax, Comm. Pure Appl. Math.10, 537 (1957).
G. R. Fowles, Phys. Fluids19, 227 (1976).
G. Boillat andT. Ruggeri, to appear.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Morro, A. Interaction of acoustic waves with shock waves in elastic solids. Journal of Applied Mathematics and Physics (ZAMP) 29, 822–827 (1978). https://doi.org/10.1007/BF01589293
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01589293