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On the governing functions of the method of approximations

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Polymer Mechanics Aims and scope

Abstract

Il'yushin's method of approximations is used to obtain the exact solutions of problems of viscoelasticity from the known solutions of the corresponding elastic problems for a concentrated force acting at a point in space, a parallelepiped with one loaded face, a rotating annular disk, and a gravitating rotating sphere (the earth). The solutions of the viscoelastic problems are determined by three functions — the compliance, relaxation modules, and "connected" creep functions. A description is given of a method and testing device for determining the "connected" creep functions and the corresponding experimental curves for polymethyl methacrylate are presented.

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Literature cited

  1. A. A. Il'yushin, Mekhan. Polim., No. 2, 210 (1968).

  2. A. A. Il'yushin, Mekhan. Polim., No. 4, 584 (1969).

  3. D. L. Bykov, Mekhan. Polim., No. 6, 963 (1968).

  4. M. A. Koltunov, Mekhan. Polim., No. 4, 483 (1966).

  5. A. Love, Mathematical Theory of Elasticity, Dover, New York (1944).

    Google Scholar 

  6. V. G. Rekach, Handbook on the Solution of Problems in the Theory of Elasticity [in Russian], Moscow (1966).

  7. C. Chree, Quart. Pure and Appl. Math.,23, 335 (1889).

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  8. V. P. Dergunov and M. A. Koltunov, Mekhan. Polim., No. 6, 1089 (1968).

  9. A. A. Koltunov, Mekhan. Polim., No. 4, 754 (1969).

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Authors
  1. A. A. Koltunov
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Additional information

Moscow Institute of Electronic Machine Building. Translated from Mekhanika Polimerov, No. 4, pp. 622–632, July–August, 1970.

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Koltunov, A.A. On the governing functions of the method of approximations. Polymer Mechanics 6, 543–551 (1970). https://doi.org/10.1007/BF00856302

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  • DOI: https://doi.org/10.1007/BF00856302

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