Geodesic
Averaging periodic, nonideal elastic media
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 14, Tome 140 (1984), pp. 123-131

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Averaging of periodic elastoviscous and thermoelastic media is carried out by means of a matrix method. 
@article{ZNSL_1984_140_a10,
     author = {L. A. Molotkov and A. E. Khilo},
     title = {Averaging periodic, nonideal elastic media},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {123--131},
     publisher = {mathdoc},
     volume = {140},
     year = {1984},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1984_140_a10/}
}
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L. A. Molotkov; A. E. Khilo. Averaging periodic, nonideal elastic media. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 14, Tome 140 (1984), pp. 123-131. http://geodesic.mathdoc.fr/item/ZNSL_1984_140_a10/