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This article is cited in 4 scientific papers (total in 4 papers)
On the equilibrium of a two-layer elastic structure with a crack
I. V. Frankina Lavrentyev Institute of Hydrodynamics SB RAS,
pr. Akad. Lavrentyeva 15,
630090 Novosibirsk
Abstract:
Under study is some problem concerning the equilibrium of a two-layer structure
whose layers are some elastic plates.
The upper layer is glued to the lower one along a part of the edge.
The behavior of the plates is modelled
in the framework of the plane theory of elasticity.
Along the gluing line in the lower layer,
there is a crack crossing the external boundary at zero angle.
On the crack faces, the nonlinear boundary conditions are imposed
that exclude their mutual penetration.
The solvability of the equilibrium problem is considered
as well as the behavior of the solution in the case
when the elasticity moduli of upper plate tend to zero or to infinity.
Keywords:
two-layer structure, crack, nonpenetration condition,
fictitious domain method, variational inequality.
Received: 10.07.2019 Revised: 10.07.2019 Accepted: 05.09.2019
Citation:
I. V. Frankina, “On the equilibrium of a two-layer elastic structure with a crack”, Sib. Zh. Ind. Mat., 22:4 (2019), 107–120; J. Appl. Industr. Math., 13:4 (2019), 629–641
Linking options:
https://www.mathnet.ru/eng/sjim1070 https://www.mathnet.ru/eng/sjim/v22/i4/p107
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Abstract page: | 266 | Full-text PDF : | 125 | References: | 40 | First page: | 1 |
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