Homogenization of acoustic equations for a partially perforated elastic material with slightly viscous fluid
Alexey S. Shamaev, Vladlena V. Shumilova
Institute for Problems in Mechanics of RAS, Vernadskogo, 101–1, Moscow, 119526, Russia
In this paper a mathematical model describing small oscillations of a heterogeneous medium is considered. The medium consists of a partially perforated elastic material and a slightly viscous compressible fluid filling the pores. For the given model the corresponding homogenized problem is constructed by using the two-scale convergence method. The boundary conditions connecting equations of the homogenized model on the boundary between the continuous elastic material and the porous elastic material with fluid are found.
homogenization, two-scale convergence, heterogeneous medium.
PDF file (210 kB)
Received in revised form: 10.05.2015
Alexey S. Shamaev, Vladlena V. Shumilova, “Homogenization of acoustic equations for a partially perforated elastic material with slightly viscous fluid”, J. Sib. Fed. Univ. Math. Phys., 8:3 (2015), 356–370
Citation in format AMSBIB
\by Alexey~S.~Shamaev, Vladlena~V.~Shumilova
\paper Homogenization of acoustic equations for a partially perforated elastic material with slightly viscous fluid
\jour J. Sib. Fed. Univ. Math. Phys.
Citing articles on Google Scholar:
Related articles on Google Scholar:
|Number of views:|