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1
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Kovtunenko V.A.
, Itou H.
, Khludnev A.M.
, Rudoy E.M.
Non-smooth variational problems and applications in mechanics
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. 2024.
V.382. N2275. 20230310
. DOI: 10.1098/rsta.2023.0310
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2
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Fankina I.V.
, Furtsev A.I.
, Rudoy E.M.
, Sazhenkov S.A.
A quasi-static model of a thermoelastic body reinforced by a thin thermoelastic inclusion
Mathematics and Mechanics of Solids. 2024.
V.29. N4. P.796-817. DOI: 10.1177/10812865231217043
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3
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Lazarev N.P.
, Rudoy E.M.
, Nikiforov D.
Equilibrium Problem for a Kirchhoff-Love Plate Contacting by the Side Edge and the Bottom Boundary
Journal of Siberian Federal University - Mathematics and Physics. 2024.
V.17. N3. P.355-364.
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4
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Rudoy E.M.
, Sazhenkov S.A.
The homogenized dynamical model of a thermoelastic composite stitched with reinforcing filaments
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. 2024.
V.382. N20230304. 20230304
:1-15. DOI: 10.1098/rsta.2023.0304
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5
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Furtsev A.I.
, Rudoy E.M.
, Sazhenkov S.A.
On hyperelastic solid with thin rigid inclusion and crack subjected to global injectivity condition
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. 2024.
V.382. N2277. 20240115
:1-16. DOI: 10.1098/rsta.2024.0115
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6
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Fankina I.V.
, Furtsev A.I.
, Rudoy E.M.
, Sazhenkov S.A.
The homogenized quasi-static model of a thermoelastic composite stitched with reinforcing threads
Journal of Computational and Applied Mathematics. 2023.
V.434. 115346
:1-27. DOI: 10.1016/j.cam.2023.115346
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7
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Rudoy E.
, Sazhenkov S.
Variational Approach to Modeling of Curvilinear Thin Inclusions with Rough Boundaries in Elastic Bodies: Case of a Rod-Type Inclusion
Mathematics. 2023.
V.11. N16. 3447
:1-14. DOI: 10.3390/math11163447
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8
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Lazarev N.
, Rudoy E.
Optimal location of a finite set of rigid inclusions in contact problems for inhomogeneous two-dimensional bodies
Journal of Computational and Applied Mathematics. 2022.
V.403. 113710
. DOI: 10.1016/j.cam.2021.113710
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9
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Fankina I.V.
, Furtsev A.I.
, Rudoy E.M.
, Sazhenkov S.A.
Multiscale analysis of stationary thermoelastic vibrations of a composite material
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. 2022.
V.380. N2236. DOI: 10.1098/rsta.2021.0354
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10
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Kovtunenko V.A.
, Itou H.
, Khludnev A.M.
, Rudoy E.M.
Non-smooth variational problems and applications
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. 2022.
V.380. N2236. 20210364
:1-3. DOI: 10.1098/rsta.2021.0364
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11
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Fankina I.V.
, Furtsev A.I.
, Rudoy E.M.
, Sazhenkov S.A.
Asymptotic modeling of curvilinear narrow inclusions with rough boundaries in elastic bodies: case of a soft inclusion
Сибирские электронные математические известия / Siberian Electronic Mathematical Reports. 2022.
V.19. N2. P.935-948. DOI: 10.33048/semi.2022.19.078
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12
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Rudoy E.
, Shcherbakov V.
First-Order Shape Derivative of the Energy for Elastic Plates with Rigid Inclusions and Interfacial Cracks
Applied Mathematics and Optimization. 2021.
V.84. N3. P.2775-2802. DOI: 10.1007/s00245-020-09729-5
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13
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Rudoy E.M.
, Itou H.
, Lazarev N.P.
Asymptotic Justification of the Models of Thin Inclusions in an Elastic Body in the Antiplane Shear Problem
Journal of Applied and Industrial Mathematics. 2021.
V.15. N1. P.129-140. DOI: 10.1134/s1990478921010117
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14
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Itou H.
, Kovtunenko V.A.
, Rudoy E.M.
Three-field mixed formulation of elasticity model nonlinear in the mean normal stress for the problem of non-penetrating cracks in bodies
Applications in Engineering Science. 2021.
V.7. P.100060. DOI: 10.1016/j.apples.2021.100060
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15
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Furtsev A.I.
, Kovtunenko V.A.
, Itou H.
, Rudoy E.M.
, Tani A.
On unilateral contact problems with friction for an elastic body with cracks
In compilation
Analysis of inverse problems through partial differential equations and related topics.
2021.
– C.43-58.
РИНЦ
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16
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Furtsev A.
, Rudoy E.
Variational approach to modeling soft and stiff interfaces in the Kirchhoff-Love theory of plates
International Journal of Solids and Structures. 2020.
V.202. P.562-574. DOI: 10.1016/j.ijsolstr.2020.06.044
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17
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Furtsev A.
, Itou H.
, Rudoy E.
Modeling of bonded elastic structures by a variational method: Theoretical analysis and numerical simulation
International Journal of Solids and Structures. 2020.
V.182-183. P.100-111. DOI: 10.1016/j.ijsolstr.2019.08.006
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РИНЦ
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18
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Rudoy E.M.
Asymptotic modelling of bonded plates by a soft thin adhesive layer
Сибирские электронные математические известия / Siberian Electronic Mathematical Reports. 2020.
V.17. P.615-625. DOI: 10.33048/semi.2020.17.040
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РИНЦ
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19
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Rudoy E.
Asymptotic Justification of Models of Plates Containing Inside Hard Thin Inclusions
Technologies. 2020.
V.8. N4. 59
:1-11. DOI: 10.3390/technologies8040059
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РИНЦ
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20
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Rudoy E.M.
, Lazarev N.P.
Domain decomposition technique for a model of an elastic body reinforced by a Timoshenko's beam
Journal of Computational and Applied Mathematics. 2018.
V.334. P.18-26. DOI: 10.1016/j.cam.2017.11.019
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21
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Kazarinov N.A.
, Rudoy E.M.
, Slesarenko V.Y.
, Shcherbakov V.V.
Mathematical and Numerical Simulation of Equilibrium of an Elastic Body Reinforced by a Thin Elastic Inclusion
Computational Mathematics and Mathematical Physics. 2018.
V.58. N5. P.761-774. DOI: 10.1134/s0965542518050111
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РИНЦ
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22
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Lazarev N.P.
, Rudoy E.M.
Optimal size of a rigid thin stiffener reinforcing an elastic plate on the outer edge
ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik. 2017.
V.97. N9. P.1120-1127. DOI: 10.1002/zamm.201600291
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23
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Rudoy E.
On numerical solving a rigid inclusions problem in 2D elasticity
Zeitschrift fur Angewandte Mathematik und Physik. 2017.
V.68. N1. 19
. DOI: 10.1007/s00033-016-0764-6
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РИНЦ
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24
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Rudoy E.M.
, Kazarinov N.A.
, Slesarenko V.Y.
Numerical simulation of equilibrium of an elastic two-layer structure with a through crack
Numerical Analysis and Applications. 2017.
V.10. N1. P.63-73. DOI: 10.1134/S1995423917010074
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25
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Rudoy E.
Domain decomposition method for crack problems with nonpenetration condition
ESAIM: Mathematical Modelling and Numerical Analysis. 2016.
V.50. N4. P.995-1009. DOI: 10.1051/m2an/2015064
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РИНЦ
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26
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Rudoy E.M.
Numerical solution of the equilibrium problem for a membrane with embedded rigid inclusions
Computational Mathematics and Mathematical Physics. 2016.
V.56. N3. P.450-459. DOI: 10.1134/S0965542516030155
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27
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Rudoy E.M.
Numerical solution of an equilibrium problem for an elastic body with a thin delaminated rigid inclusion
Journal of Applied and Industrial Mathematics. 2016.
V.10. N2. P.264-276. DOI: 10.1134/S1990478916020113
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РИНЦ
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28
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Rudoy E.M.
, Shcherbakov V.V.
Domain decomposition method for a membrane with a delaminated thin rigid inclusion
Сибирские электронные математические известия / Siberian Electronic Mathematical Reports. 2016.
V.13. N1. P.395-410. DOI: 10.17377/semi.2016.13.035
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РИНЦ
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29
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Rudoy E.M.
First-order and second-order sensitivity analyses for a body with a thin rigid inclusion
Mathematical Methods in the Applied Sciences. 2016.
V.39. N17. P.4994-5006. DOI: 10.1002/mma.3332
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РИНЦ
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30
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Rudoy E.M.
Numerical solution of an equilibrium problem for a membrane with a delaminated thin rigid inclusion
Journal of Physics: Conference Series. 2016.
V.722. N1. 012033
. DOI: 10.1088/1742-6596/722/1/012033
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РИНЦ
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31
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Rudoy E.M.
Shape Sensitivity Analysis of Equilibrium Problem for Bodies with Thin Rigid Inclusions
Journal of Mathematical Sciences (United States). 2015.
V.211. N6. P.847-862. DOI: 10.1007/s10958-015-2639-3
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РИНЦ
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32
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Rudoy E.M.
Shape derivative of the energy functional in a problem for a thin rigid inclusion in an elastic body
Zeitschrift fur Angewandte Mathematik und Physik. 2015.
V.66. N4. P.1923-1937. DOI: 10.1007/s00033-014-0471-0
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33
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Rudoy E.M.
Domain decomposition method for a model crack problem with a possible contact of crack edges
Computational Mathematics and Mathematical Physics. 2015.
V.55. N2. P.305-316. DOI: 10.1134/S0965542515020165
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РИНЦ
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34
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Lazarev N.P.
, Rudoy E.M.
Shape sensitivity analysis of Timoshenko's plate with a crack under the nonpenetration condition
ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik. 2014.
V.94. N9. P.730-739. DOI: 10.1002/zamm.201200229
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35
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Itou H.
, Khludnev A.M.
, Rudoy E.M.
, Tani A.
Asymptotic behaviour at a tip of a rigid line inclusion in linearized elasticity
ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik. 2012.
V.92. N9. P.716-730. DOI: 10.1002/zamm.201100157
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