Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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On a planar exterior problem in linear elasticity


Author: H. Ramkissoon
Journal: Quart. Appl. Math. 43 (1985), 135-141
MSC: Primary 73C02
DOI: https://doi.org/10.1090/qam/793521
MathSciNet review: 793521
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Abstract: In this note a representation is obtained for the solution of the planar Dirichlet boundary-value problem of linear elasticity. It consists of a double-layer potential and a linear combination of three basic functions whose form is determined by the shape of the boundary. This representation is similar to that obtained for the analogous problem in hydrodynamics.


References [Enhancements On Off] (What's this?)

  • [1] N. K. Korenev, A certain representation of the solution of a linearized stationary problem for the Navier-Stokes equation in the case of two space variables, Trudy Mat. Inst. Steklov. 116 (1971), 95–100, 235 (Russian). Boundary value problems of mathematical physics, 7. MR 0364908
  • [2] V. D. Kupradze, Potential methods in the theory of elasticity, Translated from the Russian by H. Gutfreund. Translation edited by I. Meroz, Israel Program for Scientific Translations, Jerusalem; Daniel Davey & Co., Inc., New York, 1965. MR 0223128
  • [3] V. D. Kupradze, Dynamical problems in elasticity, Progr. in Solid Mech., 3 (1963)
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DOI: https://doi.org/10.1090/qam/793521
Article copyright: © Copyright 1985 American Mathematical Society


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