Geodesic
On the effective model of porous stratified media with slide contact between layers
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 28, Tome 257 (1999), pp. 184-206

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In order to study wave propagation in porous layered media with slide contact between elastic phases on the interfaces the effective models of these media are investigated. For these models the fronts of four waves excited by a point sources are established and formulas of wave velocities along the axes are derived. The applied methods of constructing fronts allow to point out the possible pecularities as loops and juts. The essential case, when all layers are the same but the boundary conditions remain, is also considered. 
@article{ZNSL_1999_257_a12,
     author = {L. A. Molotkov},
     title = {On the effective model of porous stratified media with slide contact between layers},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {184--206},
     publisher = {mathdoc},
     volume = {257},
     year = {1999},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1999_257_a12/}
}
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L. A. Molotkov. On the effective model of porous stratified media with slide contact between layers. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 28, Tome 257 (1999), pp. 184-206. http://geodesic.mathdoc.fr/item/ZNSL_1999_257_a12/