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Solution of the problem of stress concentration around intersecting defects by using the Riemann problem with an infinite index - MaRDI portal

Solution of the problem of stress concentration around intersecting defects by using the Riemann problem with an infinite index (Q1113716)

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scientific article; zbMATH DE number 4081033
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English
Solution of the problem of stress concentration around intersecting defects by using the Riemann problem with an infinite index
scientific article; zbMATH DE number 4081033

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    Solution of the problem of stress concentration around intersecting defects by using the Riemann problem with an infinite index (English)
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    1987
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    The authors indicate a method for the solution of discontinuous boundary value problems for the harmonic and biharmonic operators, which is based on the technique used in the case of a Riemann problem with an infinite index. The method is applied to a plane with a \(\Gamma\)-shaped slit and to one with a cruciform slit, where the slit branches are of unequal length.
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    fixed singularity
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    generalized method of integral transforms
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    Riemann problem with zero index
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    two successively solvable scalar Riemann problems
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    plus-infinity index
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    minus-infinity index
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    Fredholm integral equation on a segment
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    Gamma-shaped slit
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    plane problem
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    cruciform slit
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    singularity in the solution
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    stress intensity coefficients
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    discontinuous boundary value problems
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    harmonic
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    biharmonic operators
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    infinite index
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