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Construction of the solution of a mixed boundary-value problem for mechanothermodiffusion for layered bodies of canonical shape

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Abstract

We propose a method of constructing the solution of the coupled problem of mechanothermodiffusion for layered bodies of canonical shape (plate, sphere, cylinder). By using the known functional transformation and the Papkovich-Neiber representation for displacements, and introducing unknown functions of time into the boundary conditions, we carry out a separation of the coupled system of equations as well as the boundary conditions.

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Authors
  1. R. N. Shvets
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  2. A. I. Yatskiv
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Translated fromMatematicheskie Metody i Fiziko-Mekhanicheskie Polya, Issue 35, 1992, pp. 70–75.

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Shvets, R.N., Yatskiv, A.I. Construction of the solution of a mixed boundary-value problem for mechanothermodiffusion for layered bodies of canonical shape. J Math Sci 67, 2879–2884 (1993). https://doi.org/10.1007/BF01095862

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  • DOI: https://doi.org/10.1007/BF01095862

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