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Title of Journal: J Appl Mech Tech Phy

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Abbravation: Journal of Applied Mechanics and Technical Physics

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Springer US

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1573-8620

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Problem of filling of a spherical cavity in a Kelv

Authors: S V Osipov
Publish Date: 2008/09/07
Volume: 49, Issue: 5, Pages: 781-788
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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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