Rudoy E., “Domain decomposition method for crack problems with nonpenetration condition”, DOI 10.1051/m2an/2015064, ESAIM: M2AN, 50:4 (2016), 995-1009
Rudoy E.M., “Shape derivative of the energy functional in a problem for a thin rigid inclusion in an elastic body”, DOI 10.1007/s00033-014-0471-0, ZAMP. Z. Angew. Math. Phys., 66:4 (2015), 1923-1937
Nyurgun P. Lazarev, Evgeny M. Rudoy, Djulustan Ya. Nikiforov, “Equilibrium problem for a Kirchhoff–Love plate contacting by the side edge and the bottom boundary”, J. Sib. Fed. Univ. Math. Phys., 17:3 (2024), 355–364
2022
2.
I. V. Fankina, A. I. Furtsev, E. M. Rudoy, S. A. Sazhenkov, “Asymptotic modeling of curvilinear narrow inclusions with rough boundaries in elastic bodies: case of a soft inclusion”, Sib. Èlektron. Mat. Izv., 19:2 (2022), 935–948
E. M. Rudoy, H. Itou, N. P. Lazarev, “Asymptotic justification of the models of thin inclusions in an elastic body in the antiplane shear problem”, Sib. Zh. Ind. Mat., 24:1 (2021), 103–119; J. Appl. Industr. Math., 15:1 (2021), 129–140
N. P. Lazarev, E. M. Rudoy, T. S. Popova, “Optimal control of the length of a straight crack for a model describing an equilibrium of a two-dimensional body with two intersecting cracks”, Mathematical notes of NEFU, 25:3 (2018), 43–53
6.
N. A. Kazarinov, E. M. Rudoy, V. Yu. Slesarenko, V. V. Shcherbakov, “Mathematical and numerical simulation of equilibrium of an elastic body reinforced by a thin elastic inclusion”, Zh. Vychisl. Mat. Mat. Fiz., 58:5 (2018), 790–805; Comput. Math. Math. Phys., 58:5 (2018), 761–774
E. M. Rudoy, N. A. Kazarinov, V. Yu. Slesarenko, “Numerical simulation of the equilibrium of an elastic two-layer structure with a crack”, Sib. Zh. Vychisl. Mat., 20:1 (2017), 77–90; Num. Anal. Appl., 10:1 (2017), 63–73
E. M. Rudoy, V. V. Shcherbakov, “Domain decomposition method for a membrane with a delaminated thin rigid inclusion”, Sib. Èlektron. Mat. Izv., 13 (2016), 395–410
E. M. Rudoy, “Numerical solution of an equilibrium problem for an elastic body with a delaminated thin rigid inclusion”, Sib. Zh. Ind. Mat., 19:2 (2016), 74–87; J. Appl. Industr. Math., 10:2 (2016), 264–276
E. M. Rudoy, “Numerical solution of the equilibrium problem for a membrane with embedded rigid inclusions”, Zh. Vychisl. Mat. Mat. Fiz., 56:3 (2016), 455–464; Comput. Math. Math. Phys., 56:3 (2016), 450–459
E. M. Rudoy, “Domain decomposition method for a model crack problem with a possible contact of crack edges”, Zh. Vychisl. Mat. Mat. Fiz., 55:2 (2015), 310–321; Comput. Math. Math. Phys., 55:2 (2015), 305–316
E. M. Rudoy, “Shape Sensitivity Analysis of an Equilibrium Problem for a Body with a Thin Rigid Inclusion”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 14:2 (2014), 69–87; J. Math. Sci., 211:6 (2015), 847–862
E. M. Rudoĭ, “Invariant integrals in the plane elasticity problem for bodies with rigid inclusions and cracks”, Sib. Zh. Ind. Mat., 15:1 (2012), 99–109; J. Appl. Industr. Math., 6:3 (2012), 371–380
E. M. Rudoy, “Shape sensitivity analysis of the energy integrals for the bodies with rigid inclusions and cracks under nonpenetration condition”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 12:2 (2012), 108–122; J. Math. Sci., 198:5 (2014), 608–620
E.M. Rudoy, “Asymptotic behavior of the energy functional for a three-dimensional body with a rigid inclusion and a crack”, Prikl. Mekh. Tekh. Fiz., 52:2 (2011), 114–127; J. Appl. Mech. Tech. Phys., 52:2 (2011), 252–263
E. M. Rudoy, “Формула гриффитса и интеграл Черепанова-Райса для пластины с жестким включением и трещиной”, Matem. Mod. Kraev. Zadachi, 1 (2010), 304
17.
E. M. Rudoy, “Griffith's Formula and Cherepanov–Rice's Integral for a Plate with a Rigid Inclusion and a Crack”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 10:2 (2010), 98–117; J. Math. Sci., 186:3 (2012), 511–529
E. M. Rudoy, “Задача о криволинейной трещине на границе жесткого включения в упругом теле: асимптотика функционала энергии”, Matem. Mod. Kraev. Zadachi, 1 (2009), 231–232
19.
E. M. Rudoy, A. M. Khludnev, “Односторонний контакт пластины с тонким упругим препятствием”, Sib. Zh. Ind. Mat., 12:2 (2009), 120–130; J. Appl. Industr. Math., 4:3 (2010), 389–398
E. M. Rudoy, “Asymptotics of the energy functional for a fourth-order mixed boundary value problem in a domain with a cut”, Sibirsk. Mat. Zh., 50:2 (2009), 430–445; Siberian Math. J., 50:2 (2009), 341–354
E. M. Rudoy, “Асимптотика функционала энергии пластины с трещиной с возможным контактом берегов”, Matem. Mod. Kraev. Zadachi, 1 (2008), 261–262
22.
E.M. Rudoy, “Differentiation of energy functionals in the problem of a curvilinear crack in a plate with a possible contact of the crack faces”, Prikl. Mekh. Tekh. Fiz., 49:5 (2008), 153–168; J. Appl. Mech. Tech. Phys., 49:5 (2008), 832–845
E. M. Rudoy, “Differentiation of energy functionals in the three-dimensional theory of elasticity for bodies with surface cracks”, Sib. Zh. Ind. Mat., 8:1 (2005), 106–116; J. Appl. Industr. Math., 1:1 (2007), 95–104
E.M. Rudoy, “Differentiation of energy functionals in two-dimensional elasticity theory for solids with curvilinear cracks”, Prikl. Mekh. Tekh. Fiz., 45:6 (2004), 83–94; J. Appl. Mech. Tech. Phys., 45:6 (2004), 843–852
E. M. Rudoy, “Invariant integrals for the equilibrium problem for a plate with a crack”, Sibirsk. Mat. Zh., 45:2 (2004), 466–477; Siberian Math. J., 45:2 (2004), 388–397
E. M. Rudoy, “Stability of a solution of the equilibrium problem for a shallow shell with a crack under perturbation of the boundary”, Sib. Zh. Ind. Mat., 4:1 (2001), 171–176
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