Khludnev Alexander Mikhailovich
                 
 
 
 Principal scientific researcher of the Laboratory of boundary value problems in mechanics, 
 D. Sc., Professor.
 
 Phone: (+7383)3333123 (office) 
 Fax: (+7383)3331612 
 E-mail: khlud@hydro.nsc.ru
 Address: Lavrentyev pr. 15, Institute of Hydrodynamics SB RAS, Novosibirsk, 630090, Russia

Main Areas of Research:  

  • Contact problems in solid mechanics with unilateral constraints;
  • Optimal control problems in solid mechanics;
  • Crack problems with nonpenetration conditions between crack faces;
  • Elastoplastic and viscoelastic problems;
  • Free boundary problems in solid mechanics.

Research Grants:

  • Grants of Russian Fund for Basic Research (RFBR): № 95-01-00886-a (1995-1996), № 96-01-01645-a (1996-1998), № 97-01-00896-a (1997-1999), № 00-01-00842-a (2000-2002), № 03-01-00124-a (2003-2005), № 06-01-00209-a (2006-2008), № 09-01-07016-d (2009), № 10-01-00054-a (2010-2012), № 13-01-00017-a (2013-2015);
  • Grant of Russian State Committee of Higher Education № 2000.4.19 (2001-2002);
  • Grants of Siberian Branch of the Russian Academy of Sciences: № 2.1 (2006-2008), № 90 (2009-2011);
  • Grants of Russian Ministry of Science and Education: № П597 (2010-2012), № 8222 (2012-2013);
  • Russian Science Foundation: № 15-11-1000 (2015-2017);
  • RFBR № 15-11-10000 (2015-2017);
  • RFBR, № 19-31-90037 (2019-2021);
  • Mathematical Center in Akademgorodok, № 075-15-2022-282 (2019-2024);
  • RFBR, № 18-41-140003 р_а (2018-2020).
Public Duties:

Main Scientific Publications:

Monographs:

Recent Articles (since 2000):

  • M. Brokate, A. M. Khludnev. Existence of solutions in the Prandtl-Reuss theory of elastoplastic plates // Adv. Math. Sci. Appl. 2000. Vol. 10, pp. 399-415.
  • M. Bach, A.M. Khludnev, V.A. Kovtunenko. Derivatives of the energy functional for  2D-problems with a crack under Signorini and friction conditions // Math. Meth. Appl. Sci. 2000. Vol. 23, pp. 515-524.
  • A.M. Khludnev, J. Sokolowski. Griffith formulae for elasticity systems with unilateral conditions in domains with cracks // Europ. J. Mech. A/Solids. 2000. Vol. 19, pp. 105-119.
  • A.M. Khludnev, J. Sokolowski. On derivative of energy functionals in the elasticity theory // J. Appl. Math. Mechs. 2000. Vol. 64, No. 3, pp. 467-475 (in Russian). 
  • K.Ohtsuka, A.M. Khludnev. Generalized J-integral method for sensitivity analysis of static shape design // Control and Cybernetics. 2000. Vol. 29, pp. 513-533.
  • J. Sokolowski, A.M. Khludnev. Differentiation of energy functionals in the theory of cracks with possible edge contact // Doklady Physics. 2000. Vol. 45, pp. 565-568.
  • K.-H. Hoffmann, A.M. Khludnev. On cracks of minimal opening in thermoelastic plates // Z. Angew. Math. Mech. 2000. Vol. 80, pp. 253-258.
  • D. Hoemberg, A.M. Khludnev, J. Sokolowski. On an equilibrium problem for a cracked body with electrothermoconductivity // Interfaces and free boundaries. 2001. No. 3, pp. 129-142.
  • D. Hoemberg,  A.M. Khludnev. Equilibrium problem for a thermo-electroconductive body with the Signorini condition on the boundary // Math. Meth. Appl. Sci. 2001. Vol. 24, pp. 233-244.
  • A.M. Khludnev, K. Ohtsuka, J. Sokolowski. On derivative of energy functional for elastic bodies with a crack and unilateral conditions // Quart. Appl. Math. 2002. Vol. 60, No. 1, pp. 99-109.
  • A.M. Khludnev. The method of smooth domains in the equilibrium problem for a plate with a crack // Siberian Math. J. 2002. Vol. 43, pp. 1124-1134.
  • D. Hoemberg, A.M. Khludnev. On safe crack shapes in elastic bodies // Europ. J. Mech. A/Solids. 2002. Vol. 21, pp. 991-998.
  • A.M. Khludnev, A.N. Leontiev, J. Herskovits. Nonsmooth domain optimization for elliptic equations with unilateral conditions // J. Math. Pures Appl. 2003. Vol. 82, pp. 197-212.
  • F. Duderstadt, D. Hoemberg, A.M. Khludnev. A mathematical model for impulse resistance welding // Math. Meth. Appl. Sci. 2003. Vol. 26, pp. 717-737.

  • V.D. Stepanov, A.M. Khludnev. The fictitious domain method as applied to the Signorini problem // Doklady Mathematics. 2003. Vol. 68, pp. 163-166.
  • A.M. Khludnev. Optimal boundaries in the equilibrium problem for bodies with cracks // Vestnik, Quart. J. of Novosibirsk State Univ., Series: Math., Mech. Informatics. 2003. Vol.3, No. 3, pp. 99-107 (in Russian).

  • V.D. Stepanov, A.M. Khludnev. The methods of fictious domains in the Signorini problem // Siberian Math. J. 2003. Vol. 44, pp. 1061-1074.
  • M. Brokate, A.M. Khludnev. On crack propagation shapes in elastic bodies // Z. Angew. Math. Phys. 2004. Vol. 55, pp. 318-329.
  • K.-H. Hoffmann, A.M. Khludnev. Fictitious domain method for the Signorini problem in a linear elasticity // Adv. Math. Sci. Appl. 2004. Vol. 14, pp. 465-481.
  • A.M. Khludnev, J. Sokolowski. Smooth domain method for crack problems // Quart. Appl. Math. 2004. Vol. 62, pp. 401-422.
  • A.M. Khludnev. Invariant integrals in problems of a crack at the locus of imhomogeneity and in contact problems // Doklady Physics. 2004. Vol. 49, pp. 603-607.
  • A.M. Khludnev. Invariant integrals in the problem of a crack on the interface between two media // J. Appl. Mech. Techn. Physics. 2005. Vol. 46, No. 5. pp. 717-729.

  • A.M. Khludnev. Theory of cracks with possible contact between crack faces // Russian Survey of Mechanics. 2005. Vol. 3, No. 4, pp. 41-82 (in Russian).
  • A.M. Khludnev, K.-H. Hoffmann, N.D. Botkin. The variational contact problem for elastic objects of different dimensions // Siberian. Math. J. 2006. Vol. 47, pp. 584-593.

  • A.M. Khludnev, A.N. Leontiev. A problem of flow through semipermeable obstacle // Siberian J. Numer. Math. 2006. Vol. 9, No. 2, pp. 173-188.
  • D. Hoemberg, A.M. Khludnev. A thermoelastic contact problem with a phase transition // IMA J. Appl. Math. 2006. Vol. 71, pp. 479-495.
  • V.A. Kozlov, A.M. Khludnev. Asymptotic behavior of the solution to the Poisson equation near a crack tip with nonlinear boundary conditions // Doklady Mathematics. 2006. Vol. 74, pp. 865-868.
  • A.M. Khludnev, G. Leugering. Unilateral contact problems for two perpendicular elastic structures // Journal for Analysis and its Applications. 2008. Vol. 27, pp. 157-177.
  • A.M. Khludnev, A. Tani. Unilateral contact problems for two inclined elastic bodies //  Europ. J. Mech. A/Solids. 2008. Vol. 27, pp. 365-377.
  • A.M. Khludnev, V.A. Kozlov. Asymptotics of solutions near crack tips for Poisson equation with inequality type boundary conditions // Z. Angew. Math. Phys. 2008. Vol. 59, pp. 264-280.
  • A.M. Khludnev. On crack problem with overlapping domain // Z. Angew. Math. Mech. 2008. Vol. 88, pp. 650-660.
  • A.M. Khludnev. On unilateral contact of two plates aligned an angle to each other //  J. Appl. Mech. Techn. Physics. 2008. Vol. 49, pp. 553-567.
  • A.M. Khludnev, V.A. Kovtunenko, A. Tani. Evolution of a crack with kink and non-penetration // J. Math. Soc. Japan. 2008. Vol. 80, pp. 1219-1253.

  • A.M. Khludnev, A.  Tani. Overlapping domain problems in the crack theory with possible contact between crack faces // Quart. Appl. Math. 2008. Vol. 66, p. 423-435.
  • L.-E. Andersson, A.M. Khludnev. On crack crossing an external boundary. Fictitious domain method and invariant integrals // Sib. J.  Industr. Math. 2008. Vol. 11, No. 3, pp. 15-29 (in Russian).

  • G.V. Alekseev, A.M. Khludnev. On solvability of mixed boundary value problem for thermoelectroelastic body // Vestnik, Quart. J. of Novosibirsk State Univ., Series: Math., Mech. Informatics. 2008. Vol. 8, No. 2, pp. 3-13 (in Russian).
  • G.V. Alekseev, A.M. Khludnev. Crack in elastic body crossing the external boundary at zero angle // Vestnik, Quart. J. of Novosibirsk State Univ., Series: Math., Mech. Informatics. 2009. Vol. 9, No. 2, pp. 15-29 (in Russian).
  • E.M. Rudoi, A.M. Khludnev. Unilateral contact of a plate with a thin elastic obstacle // J. Appl. Industr. Math. 2009. Vol. 3, pp. 389-398.
  • A.M. Khludnev, A.A. Novotny, J. Sokolowski, A. Zochowski. Shape and topology sensitivity analysis for cracks in elastic bodies on boundaries of rigid inclusions // Journal of the Mechanics and Physics of Solids. 2009. Vol. 57, pp. 1718-1732.
  • G. Leugering, A.M. Khludnev. On the equilibrium of elastic bodies containing thin rigid inclusions // Doklady Physics. 2010. Vol. 55, pp. 18-22.
  • A. M. Khludnev. Optimal control of crack growth in elastic body with inclusions //Europ. J. Mech. A/Solids. 2010. Vol. 29, pp. 392-399.
  • A. Gaudiello, A.M. Khludnev. Crack on the boundary of two overlapping domain // Z. Angew. Math. Phys. 2010. Vol. 61, pp. 341-356.
  • A.M. Khludnev. Problem of a crack on the boundary of a rigid inclusion in an elastic plate // Mechanics of Solids. 2010. Vol. 45, pp. 733-742.
  • A.M. Khludnev, G. Leugering. On elastic bodies with thin rigid inclusions and cracks // Math. Meth. Appl. Sci. 2010. Vol. 33, pp. 1955-1967.
  • A.M. Khludnev, J. Sokolowski, K. Szulc. Shape and topological sensitivity analysis in domains with cracks // Applications of Mathematics. 2010. Vol. 55, pp. 433-469.
  • A.M. Khludnev, V.A. Kovtunenko, A. Tani. On the topological derivative due to kink of a crack with non-penetration // J. Math. Pures Appl. 2010. Vol. 94,  pp. 571-596.
  • A.M. Khludnev, G. Leugering. Optimal control of cracks in elastic bodies with thin rigid inclusion // Z. Angew. Math. Mech. 2011. Vol. 91, pp. 125-137.
  • A.M. Khludnev. On bending of an elastic plate with delaminated thin rigid inclusion // J. Appl. Industr. Math. 2011. Vol. 5, pp. 582-594. 
  • M. Negri., A.M. Khludnev. Equilibrium of elastic solids with thin elastic inclusions // Doklady Physics. 2012. Vol. 57, pp. 140-144.
  • A.M. Khludnev, M. Negri. Crack on the boundary of a  thin elastic inclusion inside an elastic body // Z. Angew. Math. Mech. 2012. Vol. 92, pp. 341-354.
  • A.M. Khludnev. Thin rigid inclusions with delaminations in elastic plates // Europ. J. Mech. A/Solids. 2012. Vol. 32, pp. 69-75.
  • H. Itou, A.M. Khludnev, E.M. Rudoy, A. Tani. Asymptotic behaviour at a tip of a rigid line inclusion in linearized elasticity // Z. Angew. Math. Mech. 2012. Vol. 92, pp. 716-730.
  • A.M. Khludnev. Contact problems for elastic bodies with rigid inclusions // Quart. Appl. Math. 2012. Vol. 70, pp. 269-284.
  • A.M. Khludnev, G. Leugering, M. Specovius-Neugebauer. Optimal control of inclusion and crack shapes in elastic bodies // J. Optim. Theory App. 2012. Vol. 155, pp. 54-78.
  • A.M. Khludnev,  M. Negri. Optimal rigid inclusion shapes in elastic bodies with cracks // Z. Angew. Math. Phys. 2013. Vol. 64, pp. 179-191.
  • A.M. Khludnev, G.R. Leugering. Delaminated thin elastic inclusion inside elastic bodies // Mathematics and Mechanics of Complex Systems. 2014. Vol. 2, pp. 1-21.
  • Х. Итоу, Г. Лойгеринг, А.М. Хлуднев. Тонкие включения Тимошенко в упругом теле с возможным отслоением // Докл. АН. 2014. Т. 458, № 1. C. 32-35.
  • A.M. Khludnev. Singular invariant integrals for elastic body with delaminated thin elastic inclusion // Quart. Appl. Math. 2014. Vol. 72, pp. 719-730.
  • A.M. Khludnev, G.R. Leugering. On Timoshenko thin elastic inclusions inside elastic bodies // Math. Mech. Solids. 2015. Vol. 20, pp. 495-511.
  • A.M. Khludnev. Thin inclusions in elastic bodies crossing an external boundary // Z. Angew. Math. Mech. 2015. Vol. 95, pp. 1256-1267.
  • A.M. Khludnev, G. Leugering. Optimal control of cracks in elastic bodies with thin rigid inclusion // Z. Angew. Math. Mech. 2011. Vol. 91, pp. 125-137.

  • H. Itou, A.M. Khludnev. On delaminated thin Timoshenko inclusions inside elastic bodies // Math. Meth. Appl. Sci. 2016. Vol. 39, pp. 4980-4993.

  • L. Faella, A.M. Khludnev. Junction problem for elastic and rigid inclusions in elastic bodies // Math. Meth. Appl. Sci. 2016. Vol. 39, pp. 3381-3390.

  • A.M. Khludnev, T. Popova. Junction problem for rigid and semi-rigid inclusions in elastic bodies // Arch. Appl. Mech. 2016. Vol. 86, pp. 1565-1577.

  • A.M. Khludnev, T.S. Popova. Junction problem for Euler-Bernoulli and Timoshenko elastic inclusions in elastic bodies // Quart. Appl. Math. 2016. Vol. 74, pp. 705-718.

  • A.M. Khludnev, V.V. Shcherbakov. Singular invariants integrals for elastic bodies with thin elastic inclusions and cracks // Dokl. Phys. 2016. Vol. 61, pp. 615-619.

  • A.M. Khludnev. Rigidity parameter identification for thin inclusions located inside elastic bodies // J. Optim. Theory App. 2017. Vol. 172, pp. 281-297.


  • A.M. Khludnev. Asymptotics of anisotropic weakly curved inclusions in an elastic body // J. Appl. Industr. Math. 2017. Vol. 11, pp. 88-98.
  • L. Faella, A.M. Khludnev, T. Popova. Junction problem for rigid and Timoshenko elastic inclusions in elastic bodies // Math. Mech. Solids. 2017. Vol. 22, pp. 737-750.  
  • A.M. Khludnev, V.V. Shcherbakov. Singular path-independent energy integrals for elastic bodies with Euler-Bernoulli inclusions // Math. Mech. Solids. 2017. Vol. 22, pp. 2180-2195.
  • A.M. Khludnev, L. Faella, C. Perugia. Optimal control of rigidity parameters of thin inclusions in composite materials // Z. Angew. Math. Phys. 2017. Vol. 68, Art. 47.
  • A.M. Khludnev, T.S. Popova. On the mechanical interplay between Timoshenko and semirigid inclusions embedded in elastic bodies // Z. Angew. Math Mech. 2017. Vol. 97, pp. 1406-1417.  
  • A.M. Khludnev, T.S. Popova. Timoshenko inclusions in elastic bodies crossing an external boundary at zero angle // Acta Mechanica Solida Sinica. 2017. Vol. 30, pp. 327-333.
  • A.M. Khludnev, T.S. Popova. On crack propagations in elastic bodies with thin inclusions // Sib. Elect. Math. Rep. 2017. Vol. 14, pp. 586-599.
  • A.M. Khludnev, V.V. Shcherbakov. A note on crack propagation paths inside elastic bodies // Appl. Math. Lett. 2018. Vol. 79, pp. 80-84.
  • A.M. Khludnev. On modeling elastic bodies with defects // Sib. Elect. Math. Rep. 2018. Vol. 15, pp. 153-166.
  • A.M. Khludnev. On modeling thin inclusions in elastic bodies with a damage parameter // Math. Mech. Solids. DOI: 10.1177/1081286518796472
  • A.M. Khludnev. Equilibrium of an elastic body with closely spaced thin inclusions // Comp. Math. Math. Phys. 2018. Vol. 58, pp. 1660-1672.
  • A.M. Khludnev, T.S. Popova. Semirigid inclusions in elastic bodies: Mechanical interplay and optimal control // Comp. Math. Appl. 2019. Vol. 77, pp. 253-262.
  • A. M. Khludnev.  On thin inclusions in elastic bodies with defects. Z. Angew. Math. Phys.   2019, 70:45.
  • A. M. Khludnev.  On thin Timoshenko inclusions in elastic bodies with defects. Arch. Appl. Mech., 2019, v. 89, N 8, pp. 1691-1704.
  • A. M. Khludnev. Inverse problems for elastic body with closely located thin inclusions. Z. Angew. Math. Phys.,  2019, 70:134.
  • A. M. Khludnev. Thin inclusion in elastic body: identification of damage parameter. Control and Cybernetics, 2019, v. 48, N 1, pp. 13-30.
  • A.M. Khludnev.   Inverse problem for elastic body with thin elastic inclusion. Journal of Inverse and Ill-posed Problems, 2020, v.28, N 2, pp. 195-209.
  • A. M. Khludnev,  A. Corbo Esposito, L. Faella. Optimal control of parameters for elastic body with thin inclusions. J. Opt. Theory Appl., 2020, v. 184, N 1, pp. 293-314.
  • A. M. Khludnev, T.S. Popova. Junction problem for two weakly curved inclusions in elastic body. Sib. Math. J., 2020,  v. 61, N 4, pp.  932-945.
  • A. M. Khludnev, T.S. Popova. Equilibrium problem for elastic body with delaminated T-shape inclusion. J. Comput. Appl. Math., 2020, v.  376, 112870.
  • A. M. Khludnev, T.S. Popova. On junction problem with damage parameter for Timoshenko and rigid inclusions inside elastic body.  Z. Angew. Math.  Mech., 2020,  e202000063.
  • A. M. Khludnev. T-shape inclusion in elastic body with a damage parameter. J. Comp. Appl. Math., 2021,  v. 393, 113540.
  • A. M. Khludnev, I. V. Fankina. Equilibrium problem for elastic plate with thin rigid inclusion crossing an external boundary.  Z. Angew. Math. Phys., 2021, 72:121.
  • A.M. Khludnev A.M.  Equilibrium problems for elastic plate with thin rigid inclusion  and free edge. Mathematical notes of NEFU,  2021,  v. 28, N 3, pp. 105-120,
  • A. M. Khludnev. Non-coercive problems for Kirchhoff-Love plates with thin rigid inclusion.  Z. Angew. Math. Phys., 2022, 73:54.
  • A. M. Khludnev. Junction problem for thin elastic and volume rigid inclusions in elastic body. Philosophical Transactions A, Mathematical, Physical and Engineering Sciences, 2022, 380, 20210360.
  • V. A. Kovtunenko, H. Itou, A. M. Khludnev, E. M. Rudoy.  Non-smooth variational problems and applications.  Philosophical Transactions A, Mathematical, Physical and Engineering Sciences, 2022, 380, 20210364.
  • A.M. Khludnev.    Asymptotics of solutions for two elastic plates with thin junction. Siberian Electronic Mathematical Reports,  2022, v. 19, N 2, pp. 484-501.
  • A.M. Khludnev. On the crossing bridge between two Kirchhoff-Love plates. Axioms, 2023, 12(2), 120.
  • A. M. Khludnev. Asymptotic analysis of thin elastic junction between two elastic bodies. Applicable Analysis, 2023, v.102,  N3,  pp. 800-814.
  • A.M. Khludnev, A.A. Rodionov. Elastic body with thin nonhomogeneous inclusion in non-coercive case. Math. Mech. Solids, 2023, v.28, N 10, pp. 2141-2154.
  • A.M. Khludnev, A.A. Rodionov. Elasticity tensor identification in elastic body with thin inclusions: non-coercive case. J. Opt. Theory Appl., 2023, v. 197, N3, pp. 993-1010.
  • A. Khludnev, I. Fankina. Noncoercive problems for elastic bodies with thin elastic inclusions. Math. Meth. Appl. Sci. 2023, v. 46, N 13, pp. 14214-14228. 
  • A. M. Khludnev.  On the equilibrium of elastic bodies with weakly curved junction. J. Appl. Industr. Mathematics,   2023,  v. 26, N 3, pp. 154-168.
  • A.M. Khludnev.  Elasticity problem with a cusp between thin inclusion and boundary. Axioms. 2023, 12(12), 1081.