Geodesic
The equations of the efffective model of anisotropic elastic medium with cracks filled with liquid
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 23, Tome 210 (1994), pp. 175-191

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For the periodical layered medium, in which each period consists of a elastic anisotropic layer and a liquid homogeneous layer, the effective model is derived by averaging. This model describes wave propagation and has two phases. The equations of this model are defined in the case of general anisotropy and in special cases. Bibliography: 8 titles. 
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     author = {L. A. Molotkov},
     title = {The equations of the efffective model of anisotropic elastic medium with cracks filled with liquid},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {175--191},
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     volume = {210},
     year = {1994},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1994_210_a15/}
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L. A. Molotkov. The equations of the efffective model of anisotropic elastic medium with cracks filled with liquid. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 23, Tome 210 (1994), pp. 175-191. http://geodesic.mathdoc.fr/item/ZNSL_1994_210_a15/