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Jiangfeng Han, S. Migórski (2016)
A quasistatic viscoelastic frictional contact problem with multivalued normal compliance, unilateral constraint and material damageJournal of Mathematical Analysis and Applications, 443
L. Faella, A. Khludnev (2016)
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G. Duvault, J.-L. Lions (1980)
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N. Neustroeva, N. Lazarev (2017)
Differentiation of the energy functional in the equilibrium problem for a Timoshenko plate with a crack on the boundary of an elastic inclusionJournal of Applied and Industrial Mathematics, 11
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A. M. Khludnev (2010)
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N. V. Neustroeva, N. P. Lazarev (2017)
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T. Popova, G. Rogerson (2016)
On the problem of a thin rigid inclusion embedded in a Maxwell materialZeitschrift für angewandte Mathematik und Physik, 67
A. Khludnev, G. Leugering (2014)
Delaminated thin elastic inclusions inside elastic bodies, 2
Under study are the equilibrium problems for a two-dimensional viscoelastic body with delaminated thin inclusions in the cases of elastic and rigid inclusions. Both variational and differential formulations of the problems with nonlinear boundary conditions are presented; their unique solvability is substantiated. For the case of a thin elastic inclusion modelled as a Bernoulli–Euler beam, we consider the passage to the limit as the rigidity parameter of the inclusion tends to infinity. In the limit it is the problem about a thin rigid inclusion. Relationship is established between the problems about thin rigid inclusions and the previously considered problems about volume rigid inclusions. The corresponding passage to the limit is justified in the case of inclusions without delamination.
Journal of Applied and Industrial Mathematics – Springer Journals
Published: May 29, 2018
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