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A Contact Problem for a Half-Space and a Rigid Base with an Axially Symmetric Recess

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Abstract

An axially symmetric problem of frictionless contact interaction of an elastic half-space and a rigid base that has a small surface recess is considered. A corresponding problem of elasticity theory is formulated. The problem is solved by the method of double integral equations. The contact pressure, the surface shape of the half-space after compression, and the size of the gap are found in closed form.

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Authors and Affiliations

  1. Pidstrygach Institute of Applied Problems of Mechanics and Mathematics, National Academy of Sciences of Ukraine, Lviv

    G. S. Kit & B. E. Monastyrsky

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  1. G. S. Kit
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  2. B. E. Monastyrsky
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Kit, G.S., Monastyrsky, B.E. A Contact Problem for a Half-Space and a Rigid Base with an Axially Symmetric Recess. Journal of Mathematical Sciences 107, 3545–3549 (2001). https://doi.org/10.1023/A:1011934203478

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  • DOI: https://doi.org/10.1023/A:1011934203478

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