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Solution of two-dimensional problems of elasticity and thermoelasticity for a rectangular region

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Abstract

We propose a separation-of-variables method for the biharmonic equation and construct a complete system of orthogonal functions for constructing exact solutions in the form of non-periodic trigonometric series for two-dimensional problems of the theory of elasticity and thermoelasticity for a rectangular region.

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Authors
  1. V. M. Vigak
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Additional information

Translated fromMatematichni Metodi ta Fiziko-mekhanichni Polya, Vol. 39, No. 1, 1996, pp. 19–25.

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Vigak, V.M. Solution of two-dimensional problems of elasticity and thermoelasticity for a rectangular region. J Math Sci 86, 2537–2542 (1997). https://doi.org/10.1007/BF02356092

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  • DOI: https://doi.org/10.1007/BF02356092

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