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About One of the Ways of Solving of Task of External Environment of the Ellipse

DOI: 10.5923/j.ijtmp.20130301.01

Keywords: Ellipses, Holomorphic Function, Dirichlet Problems, Schwarz's Formula

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Abstract:

The paper is related to elasticity equation solution for 2D media in ellipse outer region. It is provided by conventional complex transform of ellipse outer region to outer region of unit circle. Two holomorphic functions are found for the outer area of the circle. Idea of the paper is to find a way to deriver Dirichlet boundary value problems from first major boundary problem[1] of elasticity of ellipse outer region and to solve it with aid of Schwarz formulae.

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