The three-dimensional contact problem for an elastic wedge taking friction forces into account (Q2761267)

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scientific article; zbMATH DE number 1683323
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The three-dimensional contact problem for an elastic wedge taking friction forces into account
scientific article; zbMATH DE number 1683323

    Statements

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    18 December 2001
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    linearly elastic wedge
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    three-dimensional contact problem
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    three-dimensional elasticity theory
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    generalized Hilbert boundary value problem
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    punch
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    complex Fourier-Kontorovich-Lebedev integral
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    displacement vector
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    quasi-static formulation
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    Coulomb friction
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    The three-dimensional contact problem for an elastic wedge taking friction forces into account (English)
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    The paper deals with a spatial linearly elastic wedge with the angle \(\alpha\) and elastic characteristics \(\nu\) (Poisson ratio) and \(G\) (shear modulus). The author discusses the contact problem of the motion of a punch on the surface of the wedge and analyses effective stress. The boundary value problem of three-dimensional elasticity theory for the wedge is reduced to a generalized Hilbert boundary value problem.
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