Problem of filling of a spherical cavity in a Kelvin-Voigt medium |
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Authors: | S V Osipov |
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Institution: | (1) Tyumen’ Petroleum Research Center, Tyumen, 625000, Russia |
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Abstract: | This paper is concerned with mathematical modeling and solution of the problem of the collapse of a spherical cavity in a
viscoelastic medium under the action of constant pressure at infinity. A differential equation of motion for the cavity boundary
is constructed and solved numerically. The existence of three modes of motion of the boundary is established, and a map of
these modes in the plane of the determining parameters is constructed. Asymptotic forms of the solutions of the problem for
all modes are constructed. The problem of cavity collapse with capillary forces taken into account is formulated and solved.
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 49, No. 5, pp. 93–101, September–October, 2008. |
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Keywords: | Kelvin-Voigt medium viscoelastic medium cavity filling finite strains |
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