Sources of the center of dilation and the center of compression types in the Biot model. (English. Russian original) Zbl 0900.76651

Molotkov, L. A.; Bakulin, A. V.

J. Math. Sci., New York 91, No. 2, 2828-2839 (1998); translation from Zap. Nauchn. Semin. POMI 230, 196-213 (1995).

Summary: For the homogeneous isotropic Biot model of porous media, we investigate the wave fields of spherically symmetric point sources. It is shown that under certain conditions the center of the compression source may by replaced by two sources. The first one is a pair of oppositely directed vertical forces, the second one is a center of radially directed tangential forces.

MSC:

76S05	Flows in porous media; filtration; seepage
74E05	Inhomogeneity in solid mechanics

Keywords:

homogeneous isotropic model; wave fields; spherically symmetric point sources

References:

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