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Shape derivative of the energy functional in a problem for a thin rigid inclusion in an elastic body

Zeitschrift für angewandte Mathematik und Physik, 2015-08, Vol.66 (4), p.1923-1937

Rudoy, E. M.

2015

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Shape sensitivity analysis of Timoshenko's plate with a crack under the nonpenetration condition

Zeitschrift für angewandte Mathematik und Mechanik, 2014-09, Vol.94 (9), p.730-739

2014

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Mathematical and Numerical Simulation of Equilibrium of an Elastic Body Reinforced by a Thin Elastic Inclusion

Computational mathematics and mathematical physics, 2018-05, Vol.58 (5), p.761-774

2018

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On hyperelastic solid with thin rigid inclusion and crack subjected to global injectivity condition

Philosophical transactions of the Royal Society of London. Series A: Mathematical, physical, and engineering sciences, 2024-08, Vol.382 (2277)

2024

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Optimal size of a rigid thin stiffener reinforcing an elastic plate on the outer edge

Zeitschrift für angewandte Mathematik und Mechanik, 2017-09, Vol.97 (9), p.1120-1127

2017

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Numerical solution of an equilibrium problem for an elastic body with a thin delaminated rigid inclusion

Journal of applied and industrial mathematics, 2016-04, Vol.10 (2), p.264-276

Rudoy, E. M.

2016

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Domain decomposition method for a model crack problem with a possible contact of crack edges

Computational mathematics and mathematical physics, 2015-02, Vol.55 (2), p.305-316

Rudoy, E. M.

2015

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Asymptotic Justification of the Models of Thin Inclusions in an Elastic Body in the Antiplane Shear Problem

Journal of applied and industrial mathematics, 2021-02, Vol.15 (1), p.129-140

2021

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Erratum to: Asymptotic Justification of the Models of Thin Inclusions in an Elastic Body in the Antiplane Shear Problem

Journal of applied and industrial mathematics, 2021, Vol.15 (3), p.567-567

2021

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Numerical solution of the equilibrium problem for a membrane with embedded rigid inclusions

Computational mathematics and mathematical physics, 2016-03, Vol.56 (3), p.450-459

Rudoy, E. M.

2016

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The Griffith formula and Cherepanov–Rice integral for a plate with a rigid inclusion and a crack

Journal of mathematical sciences (New York, N.Y.), 2012-10, Vol.186 (3), p.511-529

Rudoy, E. M.

2012

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Differentiation of energy functionals in the problem of a curvilinear crack in a plate with a possible contact of the crack faces

Journal of applied mechanics and technical physics, 2008-09, Vol.49 (5), p.832-845

Rudoy, E. M.

2008

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Asymptotic behavior of the energy functional for a three-dimensional body with a rigid inclusion and a crack

Journal of applied mechanics and technical physics, 2011-03, Vol.52 (2), p.252-263

Rudoy, E. M.

2011

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Numerical simulation of equilibrium of an elastic two-layer structure with a through crack

Numerical analysis and applications, 2017, Vol.10 (1), p.63-73

2017

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Domain decomposition technique for a model of an elastic body reinforced by a Timoshenko’s beam

Journal of computational and applied mathematics, 2018-05, Vol.334, p.18-26

2018

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Asymptotic modelling of bonded plates by a soft thin adhesive layer

Siberian electronic mathematical reports, 2020-04, Vol.17, p.615-625

Rudoy, E. M.

2020

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Shape Sensitivity Analysis of Equilibrium Problem for Bodies with Thin Rigid Inclusions

Journal of mathematical sciences (New York, N.Y.), 2015-12, Vol.211 (6), p.847-862

Rudoy, E. M.

2015

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Optimal size of a rigid thin stiffener reinforcing an elastic plate on the outer edge: Optimal size of a rigid thin stiffener reinforcing an Kirchhoff-Love plate on the outer edge

Zeitschrift für angewandte Mathematik und Mechanik, 2017-09, Vol.97 (9), p.1120-1127

2017

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Asymptotic Justification of the Models of Thin Inclusions in anElastic Body in the Antiplane Shear Problem

Journal of applied and industrial mathematics, 2021-01, Vol.15 (1), p.129-140

2021

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The Shape Derivative of the Energy Integral in Elasticity Theory for Bodies with Rigid Inclusions and Cracks

Journal of mathematical sciences (New York, N.Y.), 2014-05, Vol.198 (5), p.608-620

Rudoy, E. M.

2014

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Asymptotic behaviour at a tip of a rigid line inclusion in linearized elasticity

Zeitschrift für angewandte Mathematik und Mechanik, 2012-09, Vol.92 (9), p.716-730

2012

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Asymptotic justification of the models of thin inclusions in an elastic body in the antiplane shear problem

Sibirskiĭ zhurnal industrialʹnoĭ matematiki, 2021-03, Vol.24 (1), p.103-119

2021

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Asymptotics of the energy functional for a fourth-order mixed boundary value problem in a domain with a cut

Siberian mathematical journal, 2009-03, Vol.50 (2), p.341-354

Rudoy, E. M.

2009

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Differentiation of Energy Functionals in Two-Dimensional Elasticity Theory for Solids with Curvilinear Cracks

Journal of applied mechanics and technical physics, 2004-11, Vol.45 (6), p.843-852

Rudoy, E. M.

2004

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Invariant Integrals for the Equilibrium Problem for a Plate with a Crack

Siberian mathematical journal, 2004-03, Vol.45 (2), p.388-397

Rudoy, E. M.

2004

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Shape derivative of the energy functional in a problem for a thin rigid inclusion in an elastic body

Shape sensitivity analysis of Timoshenko's plate with a crack under the nonpenetration condition

Mathematical and Numerical Simulation of Equilibrium of an Elastic Body Reinforced by a Thin Elastic Inclusion

On hyperelastic solid with thin rigid inclusion and crack subjected to global injectivity condition

Optimal size of a rigid thin stiffener reinforcing an elastic plate on the outer edge

Numerical solution of an equilibrium problem for an elastic body with a thin delaminated rigid inclusion

Domain decomposition method for a model crack problem with a possible contact of crack edges

Asymptotic Justification of the Models of Thin Inclusions in an Elastic Body in the Antiplane Shear Problem

Erratum to: Asymptotic Justification of the Models of Thin Inclusions in an Elastic Body in the Antiplane Shear Problem

Numerical solution of the equilibrium problem for a membrane with embedded rigid inclusions

The Griffith formula and Cherepanov–Rice integral for a plate with a rigid inclusion and a crack

Differentiation of energy functionals in the problem of a curvilinear crack in a plate with a possible contact of the crack faces

Asymptotic behavior of the energy functional for a three-dimensional body with a rigid inclusion and a crack

Numerical simulation of equilibrium of an elastic two-layer structure with a through crack

Domain decomposition technique for a model of an elastic body reinforced by a Timoshenko’s beam

Asymptotic modelling of bonded plates by a soft thin adhesive layer

Shape Sensitivity Analysis of Equilibrium Problem for Bodies with Thin Rigid Inclusions

Optimal size of a rigid thin stiffener reinforcing an elastic plate on the outer edge: Optimal size of a rigid thin stiffener reinforcing an Kirchhoff-Love plate on the outer edge

Asymptotic Justification of the Models of Thin Inclusions in anElastic Body in the Antiplane Shear Problem

The Shape Derivative of the Energy Integral in Elasticity Theory for Bodies with Rigid Inclusions and Cracks

Asymptotic behaviour at a tip of a rigid line inclusion in linearized elasticity

Asymptotic justification of the models of thin inclusions in an elastic body in the antiplane shear problem

Asymptotics of the energy functional for a fourth-order mixed boundary value problem in a domain with a cut

Differentiation of Energy Functionals in Two-Dimensional Elasticity Theory for Solids with Curvilinear Cracks

Invariant Integrals for the Equilibrium Problem for a Plate with a Crack

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