The method of discrete singularities in plane problems of the theory of elasticity (Q802349)

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scientific article; zbMATH DE number 3890816
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The method of discrete singularities in plane problems of the theory of elasticity
scientific article; zbMATH DE number 3890816

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    The method of discrete singularities in plane problems of the theory of elasticity (English)
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    1985
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    Plane problems of the theory of elasticity are reduced to sets of singular integral equations for which a direct method of solution is developed, similar to the method of discrete vortices used in aerodynamics. Numerical solutions of a number of plane problems of the theory of elasticity are considered, stable numerical solutions are obtained, and their convergence is proved.
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    integral equations of the first kind
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    Hilbert kernels
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    method of discrete singularities
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    Plane problems
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    sets of singular integral equations
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    direct method of solution
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    stable numerical solutions
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    convergence
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