Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 2011, Volume 11, Issue 1, Pages 87–98
This article is cited in 5 scientific papers (total in 5 papers)
The Unilateral Contact Problem for Two Plates One of them Containing a Rigid Inclusion
T. A. Rotanova
M. A. Lavrent'ev Institute of Hydrodynamics, Novosibirsk
This paper deals with the unilateral contact problem for two elastic plates located at a given angle to each other. One of the plates contains a rigid inclusion and is deformed in its plane with the other one being vertically deformed. Assuming that the solution is smooth, the differential statement being equivalent to the variational formulation is justified. We analyse different configurations of the rigid inclusion. The problem with rigid inclusion is shown to be obtained as the limiting one of the family of elastic problems.
contact problem, variational inequality, rigid inclusion, elastic plates.
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Journal of Mathematical Sciences, 2013, 188:4, 452–462
T. A. Rotanova, “The Unilateral Contact Problem for Two Plates One of them Containing a Rigid Inclusion”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 11:1 (2011), 87–98; J. Math. Sci., 188:4 (2013), 452–462
Citation in format AMSBIB
\paper The Unilateral Contact Problem for Two Plates One of them Containing a~Rigid Inclusion
\jour Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform.
\jour J. Math. Sci.
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Khludnev A., “Thin rigid inclusions with delaminations in elastic plates”, Eur. J. Mech. A Solids, 32 (2012), 69–75
A. M. Khludnev, “On an equilibrium problem for a two-layer elastic body with a crack”, J. Appl. Industr. Math., 7:3 (2013), 370–379
A. M. Khludnev, “Optimalnoe upravlenie vklyucheniyami v uprugom tele, peresekayuschimi vneshnyuyu granitsu”, Sib. zhurn. industr. matem., 18:4 (2015), 75–87
V. A. Puris, “The conjugation problem for thin elastic and rigid inclusions in an elastic body”, J. Appl. Industr. Math., 11:3 (2017), 444–452
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