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On the Principal Boundary Value Problem in the Two-Dimensional Anisotropic Theory of Elasticity

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Abstract

By definition, the principal problem of the two-dimensional theory of elasticity consists in solving the equation for the Airy’s stress function in a region with its first order derivatives assigned at a boundary. In this paper, an indirect formulation of this problem based on integral equations with weakly singular kernels is proposed. In a bounded region with a Lyapunov boundary it is reduced to the solution of weakly singular integral equations. Differential properties of its solution are investigated.

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  1. Lavrent’ev Institute of Hydrodynamics, Lavrent’ev prospect, 15, Novosibirsk, 630090, Russia

    Y. A. Bogan

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  1. Y. A. Bogan
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Bogan, Y.A. On the Principal Boundary Value Problem in the Two-Dimensional Anisotropic Theory of Elasticity. J Elast 103, 269–280 (2011). https://doi.org/10.1007/s10659-010-9285-2

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  • DOI: https://doi.org/10.1007/s10659-010-9285-2

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