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Small oscillations of a gas-filled spherical chamber in viscoelastic polymer media

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Journal of Applied Mechanics and Technical Physics Aims and scope

Abstract

A number of special features are characteristic for the mechanical behavior of polymer materials; on the phenomenological level they find their description within the framework of complicated continuous models [1–3]. Among those special features there are various kinds of viscoelasticity which must be taken into account when analyzing the flow and deformation of polymers. In the present article small oscillations are investigated of a gas-filled spherical chamber in a viscoelastic polymer medium described by a rheological equation with eight constants [3]. An exact solution is obtained of the equation of small oscillations of the chamber, the effect being studied of the rheological parameters of the medium on the oscillations. The analyzed problem is of particular interest in connection with the problems of acoustic cavitation in aqueous solutions of polymers [4–6].

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Literature cited

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Authors and Affiliations

  1. Voronezh

    S. P. Levitskii & A. T. Listrov

Authors
  1. S. P. Levitskii
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  2. A. T. Listrov
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Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 1, pp. 137–142, January–February, 1974.

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Levitskii, S.P., Listrov, A.T. Small oscillations of a gas-filled spherical chamber in viscoelastic polymer media. J Appl Mech Tech Phys 15, 111–115 (1974). https://doi.org/10.1007/BF00850738

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  • DOI: https://doi.org/10.1007/BF00850738

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