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1
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Rudoy E.
, Sazhenkov S.
Imperfect interface models for elastic structures bonded by a strain gradient layer: the case of antiplane shear
Zeitschrift fur Angewandte Mathematik und Physik. 2025.
V.76. N1. 42
:1-21. DOI: 10.1007/s00033-025-02425-w
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2
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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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3
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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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4
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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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5
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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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6
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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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7
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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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8
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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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9
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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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10
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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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11
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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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12
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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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13
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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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14
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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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15
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Рудой Е.М.
, Itou H.
, Lazarev N.P.
Асимптотическое обоснование моделей тонких включений в упругом теле в рамках антиплоского сдвига
Сибирский журнал индустриальной математики. 2021.
Т.24. №1. С.103-119. DOI: 10.33048/sibjim.2021.24.108
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16
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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
В сборнике
Analysis of inverse problems through partial differential equations and related topics.
2021.
– C.43-58.
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17
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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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18
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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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19
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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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20
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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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