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Solution of the second boundary value problem for one variant of the nonclassical theory of elasticity

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Polymer Mechanics Aims and scope

Abstract

The existence and uniqueness of the solution of the second boundary value problem of the nonclassical theory of elasticity describing the behavior of media with memory are investigated.

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Literature cited

  1. G. N. Savin and Ya. Ya. Rushchitskii, Arch. Mech. Stos.,22, No. 5, 523 (1970).

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  2. I. Babuška and I. Hlavacek, Arch. Mech. Stos.,18, No. 1, 47 (1966).

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  3. S. G. Mikhlin, Problem of the Minimum of a Quadratic Functional [in Russian], Moscow (1952).

  4. C. Truesdell and W. Noll, Handbuch der Physik, Vol. 111/3, Flügge, Berlin-Heidelberg- New York (1965), p. 103.

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Authors
  1. G. N. Savin
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  2. Ya. Ya. Rushchitskii
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Additional information

Institute of Mechanics, Academy of Sciences of the Ukrainian SSR, Kiev. Translated from Mekhanika Polimerov, No. 1, pp. 88–91, January–February, 1971.

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Savin, G.N., Rushchitskii, Y.Y. Solution of the second boundary value problem for one variant of the nonclassical theory of elasticity. Polymer Mechanics 7, 74–76 (1971). https://doi.org/10.1007/BF00856617

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  • DOI: https://doi.org/10.1007/BF00856617

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