A Contact Problem of the Interaction of a Semi-Finite Inclusion with a Plate |
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Authors: | Shavlakadze N. |
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Affiliation: | (1) A. Razmadze Mathematical Institute, Georgian Academy of Sciences, 1, Aleksidze St., Tbilisi, 380093, Georgia |
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Abstract: | A piece wise-homogeneous plane made up of twodifferent materials and reinforced by an elastic unclusion is considered on a semi-finite section where the different materials join. Vertical and horizontal forces are applied to the inclusion which haz a variable thichness and a variable elasticity modulus.Under certain conditions the problem is reduced to integrodifferential equations of third order. The solution is constructed effectively by applying the methods of theory of analytic functions to a boundary value problem of the Carleman type for a strip. Asymptotic estimates of normal contact stress are obtained. |
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Keywords: | Elasticity elastic mixtures general representations integral Fredholm equations boundary value problems splitted boundary value problems |
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