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- W2103809212 abstract "A method is advanced for constructing the exact solution of the two-dimensional problem of the bending of a semi-infinite beam supported by one of the edges of an elastic wedge (0 ⩽ θ ⩽ α < 2τ, 0⩽ r < ∞). The method is based on reducing the contact problem to the Carleman's boundary value problem for analytic functions and to deriving its exact solution. The basis of the method is presented and the characterisitics of the solution obtained are investigated for three cases,practically the most interesting: α = 32π (the beam is in contact with a quarter plane), α = 32π (the bending beam lies on the pit bottom), α = π (the beam is in contact with a half-plane). For all three cases the nature of the singularity of the contact stress at the beam end (coinciding with the edge of the wedge) is shown. In the first case the stress is finite and in the two others is defined asymptotically by O (r−23) and 0 (r−12), r → 0, respectively. This investigation is made neglecting the contact shearing stress and for the case of a two-dimensional deformation in the wedge and in the beam (cylindrical flexure of the plate). Transformation to the state of two-dimensional stress is carried out by a known substitution of elasticity constants." @default.
- W2103809212 created "2016-06-24" @default.
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- W2103809212 date "1974-01-01" @default.
- W2103809212 modified "2023-09-25" @default.
- W2103809212 title "Two-dimensional problem of the contact between a semi-infinite beam and an elastic wedge" @default.
- W2103809212 cites W1523050803 @default.
- W2103809212 doi "https://doi.org/10.1016/0021-8928(74)90068-9" @default.
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