Geodesic
Averaging the equations of small oscillations in a prestressed randomly inhomogeneous medium
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (2010), pp. 74-77
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This paper is concerned with the theoretical study of vibration propagation in anisotropic stochastic inhomogeneous media such as granulated material and porous media, in the area of high initial tension. An exact equation for the mean deformation of media is derived. The Feynman diagram technique developed in quantum field theory is used to deal with appeared infinite series. A stress dependence of the vibration spectrum is shown. 
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     author = {V. A. Goncharuk and Yu. A. Kukharenko},
     title = {Averaging the equations of small oscillations in a prestressed randomly inhomogeneous medium},
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     pages = {74--77},
     year = {2010},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2010_1_a13/}
}
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V. A. Goncharuk; Yu. A. Kukharenko. Averaging the equations of small oscillations in a prestressed randomly inhomogeneous medium. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (2010), pp. 74-77. http://geodesic.mathdoc.fr/item/VMUMM_2010_1_a13/