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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 1999, Volume 40, Issue 5, Pages 216–226 (Mi pmtf3159)  

Solution of a contact problem for a plate with a deformable insert

V. N. Solodovnikov

Lavrent’ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk 630090
Abstract: Contact problems with friction are solved for a rectangular plate with a circular hole into which a ring plate (insert) is placed with a small clearance. Two versions of contact boundary conditions are formulated. According to the proposed approximate formulation of the problem, the boundary conditions in both versions are satisfied not at the actual contact points but at specified pairs of points. Therefore, it is sufficient to determine attachment, slip, contact, and contact-free regions on just one of the contacting contours. The finite-element method and the Boussinesq principle are used to solve the problem. One of the versions of boundary conditions, compared to the other, gives smaller values for the strain energies of the plate and insert, the stress-concentration coefficient, and the lengths of attachment and contact regions.
Received: 27.01.1998
English version:
Journal of Applied Mechanics and Technical Physics, 1999, Volume 40, Issue 5, Pages 969–978
DOI: https://doi.org/10.1007/BF02468485
Document Type: Article
UDC: 539.3.01
Language: Russian
Citation: V. N. Solodovnikov, “Solution of a contact problem for a plate with a deformable insert”, Prikl. Mekh. Tekh. Fiz., 40:5 (1999), 216–226; J. Appl. Mech. Tech. Phys., 40:5 (1999), 969–978
Citation in format AMSBIB
\Bibitem{Sol99}
\by V.~N.~Solodovnikov
\paper Solution of a contact problem for a plate with a deformable insert
\jour Prikl. Mekh. Tekh. Fiz.
\yr 1999
\vol 40
\issue 5
\pages 216--226
\mathnet{http://mi.mathnet.ru/pmtf3159}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 1999
\vol 40
\issue 5
\pages 969--978
\crossref{https://doi.org/10.1007/BF02468485}
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