Nonlinear boundary equations for a class of one-side boundary value problems of contact mechanics for elastic bodies and their numerical solution (Q922043)

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scientific article; zbMATH DE number 4167193
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English
Nonlinear boundary equations for a class of one-side boundary value problems of contact mechanics for elastic bodies and their numerical solution
scientific article; zbMATH DE number 4167193

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    Nonlinear boundary equations for a class of one-side boundary value problems of contact mechanics for elastic bodies and their numerical solution (English)
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    1990
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    This paper is concerned with a unilateral boundary value problem which is intended to describe the deformation of an elastic beam in contact with an elastic half-space. The problem is reduced to a system of nonlinear boundary equations. Existence and uniqueness results are presented. The solution is approximated by the Newton-Kantorovich method. Numerical results and diagrams are presented.
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    superposition operator
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    Newton-Kantorovich method
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    unilateral boundary value problem
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    elastic beam
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    elastic half-space
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    system of nonlinear boundary equations
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    Existence
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    uniqueness
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