Edit Profile (opens in new tab) Khludnev, Aleksandr Mikhaĭlovich Co-Author Distance Author ID: khludnev.aleksandr-mikhailovich Published as: Khludnev, A. M.; Khludnev, Alexander; Khludnev, Alexander M.; Khludnev, A.; Hludnev, A. M.; Khludnev, Aleksandr Mikhaĭlovich; Khludnev, Alexandr Mikhailovich; Khludnev, Alexandr M. more...less Documents Indexed: 147 Publications since 1978, including 1 Book 2 Contributions as Editor Co-Authors: 35 Co-Authors with 70 Joint Publications 880 Co-Co-Authors all top 5 Co-Authors 76 single-authored 11 Sokołowski, Jan 9 Popova, Tatiana Semenovna 7 Leugering, Günter 5 Hoffmann, Karl-Heinz 5 Hömberg, Dietmar 5 Kovtunenko, Viktor Anatolievich 5 Tani, Atusi 4 Faella, Luisa 3 Alekseev, Gennady V. 3 Brokate, Martin 2 Fankina, Irina Vladimirovna 2 Kozlov, Vladimir A. 2 Leont’ev, A. N. 2 Negri, Matteo 2 Ohtsuka, Kohji 2 Rudoy, Evgeny Mikhailovich 2 Shcherbakov, Viktor Viktorovich 2 Stepanov, Vladimir Dmitrievich 1 Andersson, Lars-Erik 1 Bach, Michael 1 Botkin, Nikolai D. 1 Corbo Esposito, Antonio 1 Duderstadt, Frank 1 Gaudiello, Antonio 1 Herskovits, Jose Norman 1 Hirano, Shiro 1 Itou, Hiromichi 1 Itou, Hiromici 1 Kimura, Masato 1 Novotny, Antonio André 1 Perugia, Carmen 1 Sokolovskij, Ya. I. 1 Specovius-Neugebauer, Maria Ursula 1 Szulc, Katarzyna 1 Zochowski, Antoni all top 5 Serials 9 ZAMP. Zeitschrift für angewandte Mathematik und Physik 8 Dinamika Sploshnoĭ Sredy 8 Mathematical Methods in the Applied Sciences 8 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 7 Journal of Applied Mathematics and Mechanics 7 Control and Cybernetics 7 Siberian Mathematical Journal 7 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki 6 Differential Equations 6 Quarterly of Applied Mathematics 6 Sibirskiĭ Matematicheskiĭ Zhurnal 5 European Journal of Mechanics. A. Solids 4 Journal of Optimization Theory and Applications 4 Advances in Mathematical Sciences and Applications 4 Mathematics and Mechanics of Solids 3 Differentsial’nye Uravneniya 3 Prikladnaya Mekhanika i Tekhnicheskaya Fizika 3 Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya: Matematika, Mekhanika, Informatika 2 Prikladnaya Matematika i Mekhanika 2 Journal of Computational and Applied Mathematics 2 European Journal of Applied Mathematics 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Doklady Mathematics 2 Sibirskie Èlektronnye Matematicheskie Izvestiya 2 ISNM. International Series of Numerical Mathematics 2 Matematicheskie Zametki SVFU 1 Applicable Analysis 1 Computers & Mathematics with Applications 1 IMA Journal of Applied Mathematics 1 Journal of the Mechanics and Physics of Solids 1 Journal of the Mathematical Society of Japan 1 Zeitschrift für Analysis und ihre Anwendungen 1 Applied Mathematics Letters 1 Applications of Mathematics 1 Computational Mathematics and Mathematical Physics 1 Soviet Physics. Doklady 1 Archive of Applied Mechanics 1 Journal of Inverse and Ill-Posed Problems 1 Journal of Applied Mechanics and Technical Physics 1 Sibirskiĭ Zhurnal Vychislitel’noĭ Matematiki 1 Interfaces and Free Boundaries 1 Doklady Physics 1 Mathematics and Mechanics of Complex Systems 1 Mathematics for Industry all top 5 Fields 129 Mechanics of deformable solids (74-XX) 72 Partial differential equations (35-XX) 64 Calculus of variations and optimal control; optimization (49-XX) 5 Fluid mechanics (76-XX) 2 General and overarching topics; collections (00-XX) 2 Systems theory; control (93-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Numerical analysis (65-XX) 1 Classical thermodynamics, heat transfer (80-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 119 Publications have been cited 981 times in 292 Documents Cited by ▼ Year ▼ Modelling and control in solid mechanics. Zbl 0865.73003 Khludnev, A. M.; Sokolowski, Jan 57 1997 On elastic bodies with thin rigid inclusions and cracks. Zbl 1202.35323 Khludnev, Alexander; Leugering, Günter 49 2010 Shape and topology sensitivity analysis for cracks in elastic bodies on boundaries of rigid inclusions. Zbl 1425.74042 Khludnev, A. M.; Novotny, A. A.; Sokołowski, J.; Żochowski, A. 32 2009 On delaminated thin Timoshenko inclusions inside elastic bodies. Zbl 1356.35241 Itou, H.; Khludnev, A. M. 31 2016 Asymptotic behaviour at a tip of a rigid line inclusion in linearized elasticity. Zbl 1348.74041 Itou, Hiromici; Khludnev, A. M.; Rudoy, E. M.; Tani, A. 31 2012 Derivatives of the energy functional for 2D-problems with a crack under Signorini and friction conditions. Zbl 0954.35076 Bach, Michael; Khludnev, Alexander M.; Kovtunenko, Victor A. 26 2000 Shape control of thin rigid inclusions and cracks in elastic bodies. Zbl 1293.74136 Khludnev, Alexander M. 25 2013 Delaminated thin elastic inclusions inside elastic bodies. Zbl 1459.74163 Khludnev, Alexander M.; Leugering, Günter R. 25 2014 Optimal control of cracks in elastic bodies with thin rigid inclusions. Zbl 1370.74136 Khludnev, Alexander M.; Leugering, Günter 24 2011 On derivative of energy functional for elastic bodies with cracks and unilateral conditions. Zbl 1075.74040 Khludnev, A. M.; Ohtsuka, K.; Sokołowski, J. 24 2002 Thin rigid inclusions with delaminations in elastic plates. Zbl 1278.74096 Khludnev, Alexander 24 2012 Optimal rigid inclusion shapes in elastic bodies with cracks. Zbl 1318.74016 Khludnev, A.; Negri, Matteo 23 2013 Griffith formulae for elasticity systems with unilateral conditions in domains with cracks. Zbl 0966.74061 Khludnev, A. M.; Sokolowski, J. 21 2000 On Timoshenko thin elastic inclusions inside elastic bodies. Zbl 1327.74100 Khludnev, A. M.; Leugering, G. R. 21 2015 The Griffith formula and the Rice-Cherepanov integral for crack problems with unilateral conditions in nonsmooth domains. Zbl 0945.74058 Khludnev, A. M.; Sokolowski, J. 20 1999 Junction problem for rigid and Timoshenko elastic inclusions in elastic bodies. Zbl 1371.74203 Khludnev, A. M.; Faella, L.; Popova, T. S. 20 2017 Junction problem for Euler-Bernoulli and Timoshenko elastic inclusions in elastic bodies. Zbl 1353.35278 Khludnev, A. M.; Popova, T. S. 20 2016 Crack on the boundary of a thin elastic inclusion inside an elastic body. Zbl 1322.74065 Khludnev, A.; Negri, M. 19 2012 On bending an elastic plate with a delaminated thin rigid inclusion. Zbl 1230.74111 Khludnev, A. M. 18 2011 Junction problem for elastic and rigid inclusions in elastic bodies. Zbl 1342.35375 Faella, Luisa; Khludnev, Alexander 18 2016 On the topological derivative due to kink of a crack with non-penetration. Anti-plane model. Zbl 1203.49035 Khludnev, A. M.; Kovtunenko, V. A.; Tani, A. 16 2010 Singular path-independent energy integrals for elastic bodies with Euler-Bernoulli inclusions. Zbl 1395.74039 Khludnev, Alexander M.; Shcherbakov, Viktor V. 16 2017 Optimal control of crack growth in elastic body with inclusions. Zbl 1480.74272 Khludnev, Alexander 15 2010 Evolution of a crack with kink and non-penetration. Zbl 1153.49040 Khludnev, Alexander M.; Kovtunenko, Victor A.; Tani, Atusi 14 2008 Optimal control of parameters for elastic body with thin inclusions. Zbl 1442.49047 Khludnev, Alexander; Esposito, Antonio Corbo; Faella, Luisa 14 2020 Optimal control of inclusion and crack shapes in elastic bodies. Zbl 1287.49046 Khludnev, A.; Leugering, G.; Specovius-Neugebauer, M. 14 2012 Semirigid inclusions in elastic bodies: mechanical interplay and optimal control. Zbl 1442.74058 Khludnev, Alexander; Popova, Tatiana 13 2019 Equilibrium problem for elastic body with delaminated T-shape inclusion. Zbl 1436.35190 Khludnev, Alexander; Popova, Tatyana 13 2020 Optimal control of rigidity parameters of thin inclusions in composite materials. Zbl 1371.35125 Khludnev, A. M.; Faella, L.; Perugia, C. 12 2017 On modeling elastic bodies with defects. Zbl 1390.35354 Khludnev, Aleksandr Mikhaĭlovich 11 2018 Smooth domain method for crack problems. Zbl 1067.74056 Khludnev, Alexander M.; Sokołowski, Jan 10 2004 Overlapping domain problems in the crack theory with possible contact between crack faces. Zbl 1148.49008 Khludnev, Alexander; Tani, Atusi 10 2008 Thin inclusions in elastic bodies crossing an external boundary. Zbl 1333.74013 Khludnev, A. M. 10 2015 A note on crack propagation paths inside elastic bodies. Zbl 1458.74127 Khludnev, A. M.; Shcherbakov, V. V. 10 2018 Asymptotics of solutions near crack tips for Poisson equation with inequality type boundary conditions. Zbl 1138.74043 Khludnev, A. M.; Kozlov, V. A. 9 2008 On crack propagation shapes in elastic bodies. Zbl 1099.74013 Brokate, M.; Khludnev, A. 9 2004 Rigidity parameter identification for thin inclusions located inside elastic bodies. Zbl 1357.74050 Khludnev, Alexander 9 2017 Fictitious domain method for the Signorini problem in a linear elasticity. Zbl 1134.74368 Hoffmann, Karl-Heinz; Khludnev, Alexander 8 2004 Inverse problems for elastic body with closely located thin inclusions. Zbl 1427.35080 Khludnev, A. M. 8 2019 On thin inclusions in elastic bodies with defects. Zbl 1419.35060 Khludnev, A. M. 8 2019 The variational contact problem for elastic objects of different dimensions. Zbl 1115.74038 Khludnev, A. M.; Hoffmann, Karl-Heinz; Botkin, N. D. 7 2006 Shape and topological sensitivity analysis in domains with cracks. Zbl 1224.49014 Khludnev, Alexander; Sokołowski, Jan; Szulc, Katarzyna 7 2010 Contact problems for elastic bodies with rigid inclusions. Zbl 1318.74015 Khludnev, Alexander 7 2012 Singular invariant integrals for elastic body with delaminated thin elastic inclusion. Zbl 1329.35305 Khludnev, A. M. 7 2014 Unilateral contact problem for two inclined elastic bodies. Zbl 1154.74372 Khludnev, Alexander; Tani, Atusi 6 2008 On differentiation of energy functionals of elasticity theory for solids with cracks. Zbl 1004.74035 Khludnev, A. M. 6 2000 The contact problem for a shallow shell with a crack. Zbl 0888.73058 Khludnev, A. M. 6 1995 Unilateral contact problems for two perpendicular elastic structures. Zbl 1147.35047 Khludnev, Alexander; Leugering, Günter 5 2008 Equilibrium problem of an elastic plate with an oblique crack. Zbl 0920.73107 Khludnev, A. M. 5 1997 An equilibrium problem of a plate with an oblique cut. Zbl 0920.73108 Kovtunenko, V. A.; Leont’ev, A. N.; Khludnev, A. M. 5 1998 On safe crack shapes in elastic bodies. Zbl 1027.74059 Hömberg, D.; Khludnev, A. M. 5 2002 Nonsmooth domain optimization for elliptic equations with unilateral conditions. Zbl 1112.49006 Khludnev, A.; Leontiev, A.; Herskovits, J. 5 2003 The method of smooth domains in the equilibrium problem for a plate with a crack. Zbl 1075.74571 Khludnev, A. M. 5 2002 Crack on the boundary of two overlapping domains. Zbl 1273.74441 Gaudiello, A.; Khludnev, A. M. 5 2010 Equilibrium problem for elastic plate with thin rigid inclusion crossing an external boundary. Zbl 1470.35351 Khludnev, Alexander; Fankina, Irina 5 2021 Inverse problem for elastic body with thin elastic inclusion. Zbl 1436.35189 Khludnev, Alexander M. 5 2020 A thermoelastic contact problem with a phase transition. Zbl 1115.74037 Hömberg, Dietmar; Khludnev, Alexander 4 2006 Problem on the contact of two elastic plates. Zbl 0535.73091 Khludnev, A. M. 4 1984 On the equilibrium of elastic bodies containing thin rigid inclusions. Zbl 1337.74003 Leugering, G.; Khludnev, A. M. 4 2010 Crack in an elastic body crossing the external boundary at zero angle. Zbl 1249.49004 Alekseev, G. V.; Khludnev, A. M. 4 2009 Stability of solutions to extremal problems of boundary control for stationary heat convection equations. Zbl 1228.76187 Alekseev, G. V.; Khludnev, A. M. 4 2010 Existence of solutions in the Prandtl-Reuss theory of elastoplastic plates. Zbl 0965.74014 Brokate, M.; Khludnev, A. M. 4 2000 Invariant integrals in the problem of a crack on the interface between two media. Zbl 1125.74365 Khludnev, A. M. 4 2005 A mathematical model for impulse resistance welding. Zbl 1029.35214 Duderstadt, F.; Hömberg, D.; Khludnev, A. M. 4 2003 On crack problem with overlapping domain. Zbl 1146.49002 Khludnev, A. M. 4 2008 On unilateral contact of two plates aligned at an angle to each other. Zbl 1272.74503 Khludnev, A. M. 4 2008 Asymptotic behavior of the solution to the Poisson equation near a crack tip with nonlinear boundary conditions on the crack faces. Zbl 1205.35068 Kozlov, V. A.; Khludnev, A. M. 4 2006 T-shape inclusion in elastic body with a damage parameter. Zbl 1465.35239 Khludnev, Alexander 4 2021 Contact viscoelastoplastic problem for a beam. Zbl 0819.35153 Khludnev, A. M. 3 1992 On the hierarchy of thin delaminated inclusions in elastic bodies. Zbl 1399.74096 Khludnev, A. M.; Popova, T. S. 3 2016 Quasistationary problem for a cracked body with electrothermoconductivity. Zbl 0985.35095 Hömberg, D.; Khludnev, A. M.; Sokołowski, J. 3 2001 Generalized \(J\)-integral method for sensitivity analysis of static shape design. Zbl 1010.49028 Ohtsuka, Kohji; Khludnev, Alexander 3 2000 On solvability of boundary value problems in elastoplasticity. Zbl 0970.74026 Khludnev, A. M.; Sokołowski, J. 3 1998 Contact problem for a plate having a crack of minimal opening. Zbl 0856.73067 Khludnev, Alexander M. 3 1996 Non-coercive problems for Kirchhoff-Love plates with thin rigid inclusion. Zbl 1485.35226 Khludnev, Alexander 3 2022 Variational inequalities in plastic contact problems. Zbl 0675.35044 Khludnev, A. M. 2 1988 Existence of extreme unilateral cracks in a plate. Zbl 0820.73078 Khludnev, Alexander M. 2 1994 A contact problem for a beam under the conditions of plasticity and creep. Zbl 0833.73047 Khludnev, A. M. 2 1993 On optimal boundary shapes in equilibrium problems for elastic bodies with cracks. Zbl 1249.74075 Khludnev, A. M. 2 2003 The fictitious domain method as applied to the Signorini problem. Zbl 1161.35028 Stepanov, V. D.; Khludnev, A. M. 2 2003 Equilibrium problem for thermoelectroconductive body with the Signorini condition on the boundary. Zbl 0971.74034 Hömberg, D.; Khludnev, A. M. 2 2001 The method of fictitious domains in the Signorini problem. Zbl 1071.35057 Stepanov, V. D.; Khludnev, A. M. 2 2003 Existence of solutions in the quasistatic problem of the elastoplastic deformation of shells. Zbl 0597.73065 Khludnev, A. M. 2 1984 Optimal control of a plate over an obstacle. Zbl 0704.73063 Khludnev, A. M. 2 1990 On a Signorini problem for inclusions in shells. Zbl 0857.73054 Khludnev, A. M. 2 1996 On equilibrium problem for a plate having a crack under the creep condition. Zbl 0881.73119 Khludnev, A. M. 2 1996 The equilibrium problem for a thermoelastic plate with a crack. Zbl 0886.73024 Khludnev, A. M. 2 1996 A one-sided problem connected with a weakly nonlinear parabolic operator. Zbl 0409.35014 Khludnev, A. M. 2 1978 Optimal control of inclusions in an elastic body crossing the external boundary. Zbl 1349.74308 Khludnev, A. M. 2 2015 A crack that goes out to a contact boundary. The method of fictitious domains and invariant integrals. Zbl 1224.35394 Andersson, L.-E.; Khludnev, A. M. 2 2008 Unilateral contact of a plate with a thin elastic obstacle. Zbl 1224.74086 Rudoj, E. M.; Khludnev, A. M. 2 2009 On the equilibrium of a two-layer elastic body with a crack. Zbl 1340.74005 Khludnev, A. M. 2 2013 On modeling thin inclusions in elastic bodies with a damage parameter. Zbl 07273337 Khludnev, A. M. 2 2019 Unilateral contact problems between an elastic plate and a beam. Zbl 1205.49006 Khludnev, Alexander 2 2010 On junction problem with damage parameter for Timoshenko and rigid inclusions inside elastic body. Zbl 07809746 Khludnev, A. M.; Popova, T. S. 2 2020 On a variational inequality for a shallow shell operator with a constraint on the boundary. Zbl 0662.73076 Khludnev, A. M. 1 1987 Variational approach to the problem of contact of a sloping shell with a rigid body. Zbl 0497.73119 Khludnev, A. M. 1 1981 Griffith formula and Rice-Cherepanov’s integral for elliptic equations with unilateral conditions in nonsmooth domains. Zbl 0935.35057 Khludnev, A. M.; Sokolowski, J. 1 1999 On cracks of minimal opening in thermoelastic plates. Zbl 0992.74061 Hoffmann, K.-H.; Khludnev, A. M. 1 2000 On the contact of two plates one of which has a crack. Zbl 0895.73060 Khludnev, A. M. 1 1997 Non-coercive problems for Kirchhoff-Love plates with thin rigid inclusion. Zbl 1485.35226 Khludnev, Alexander 3 2022 Equilibrium problem for elastic plate with thin rigid inclusion crossing an external boundary. Zbl 1470.35351 Khludnev, Alexander; Fankina, Irina 5 2021 T-shape inclusion in elastic body with a damage parameter. Zbl 1465.35239 Khludnev, Alexander 4 2021 Optimal control of parameters for elastic body with thin inclusions. Zbl 1442.49047 Khludnev, Alexander; Esposito, Antonio Corbo; Faella, Luisa 14 2020 Equilibrium problem for elastic body with delaminated T-shape inclusion. Zbl 1436.35190 Khludnev, Alexander; Popova, Tatyana 13 2020 Inverse problem for elastic body with thin elastic inclusion. Zbl 1436.35189 Khludnev, Alexander M. 5 2020 On junction problem with damage parameter for Timoshenko and rigid inclusions inside elastic body. Zbl 07809746 Khludnev, A. M.; Popova, T. S. 2 2020 The junction problem for two weakly curved inclusions in an elastic body. Zbl 1454.35375 Khludnev, A. M.; Popova, T. S. 1 2020 Semirigid inclusions in elastic bodies: mechanical interplay and optimal control. Zbl 1442.74058 Khludnev, Alexander; Popova, Tatiana 13 2019 Inverse problems for elastic body with closely located thin inclusions. Zbl 1427.35080 Khludnev, A. M. 8 2019 On thin inclusions in elastic bodies with defects. Zbl 1419.35060 Khludnev, A. M. 8 2019 On modeling thin inclusions in elastic bodies with a damage parameter. Zbl 07273337 Khludnev, A. M. 2 2019 On modeling elastic bodies with defects. Zbl 1390.35354 Khludnev, Aleksandr Mikhaĭlovich 11 2018 A note on crack propagation paths inside elastic bodies. Zbl 1458.74127 Khludnev, A. M.; Shcherbakov, V. V. 10 2018 Equilibrium of an elastic body with closely spaced thin inclusions. Zbl 1414.35225 Khludnev, A. M. 1 2018 On junction problem for elastic Timoshenko inclusion and semi-rigid inclusion. Zbl 1438.74114 Khludnev, A. M.; Popova, T. S. 1 2018 Junction problem for rigid and Timoshenko elastic inclusions in elastic bodies. Zbl 1371.74203 Khludnev, A. M.; Faella, L.; Popova, T. S. 20 2017 Singular path-independent energy integrals for elastic bodies with Euler-Bernoulli inclusions. Zbl 1395.74039 Khludnev, Alexander M.; Shcherbakov, Viktor V. 16 2017 Optimal control of rigidity parameters of thin inclusions in composite materials. Zbl 1371.35125 Khludnev, A. M.; Faella, L.; Perugia, C. 12 2017 Rigidity parameter identification for thin inclusions located inside elastic bodies. Zbl 1357.74050 Khludnev, Alexander 9 2017 On crack propagations in elastic bodies with thin inclusions. Zbl 1386.35394 Khludnev, Alexandr Mikhailovich; Popova, Tatiana Semenovna 1 2017 Asymptotics of anisotropic weakly curved inclusions in an elastic body. Zbl 1374.74009 Khludnev, A. M. 1 2017 On the mechanical interplay between Timoshenko and semirigid inclusions embedded in elastic bodies. Zbl 07776758 Khludnev, A. M.; Popova, T. S. 1 2017 On delaminated thin Timoshenko inclusions inside elastic bodies. Zbl 1356.35241 Itou, H.; Khludnev, A. M. 31 2016 Junction problem for Euler-Bernoulli and Timoshenko elastic inclusions in elastic bodies. Zbl 1353.35278 Khludnev, A. M.; Popova, T. S. 20 2016 Junction problem for elastic and rigid inclusions in elastic bodies. Zbl 1342.35375 Faella, Luisa; Khludnev, Alexander 18 2016 On the hierarchy of thin delaminated inclusions in elastic bodies. Zbl 1399.74096 Khludnev, A. M.; Popova, T. S. 3 2016 On Timoshenko thin elastic inclusions inside elastic bodies. Zbl 1327.74100 Khludnev, A. M.; Leugering, G. R. 21 2015 Thin inclusions in elastic bodies crossing an external boundary. Zbl 1333.74013 Khludnev, A. M. 10 2015 Optimal control of inclusions in an elastic body crossing the external boundary. Zbl 1349.74308 Khludnev, A. M. 2 2015 Optimal control of a thin rigid inclusion intersecting the boundary of an elastic body. Zbl 1432.49003 Khludnev, A. M. 1 2015 Delaminated thin elastic inclusions inside elastic bodies. Zbl 1459.74163 Khludnev, Alexander M.; Leugering, Günter R. 25 2014 Singular invariant integrals for elastic body with delaminated thin elastic inclusion. Zbl 1329.35305 Khludnev, A. M. 7 2014 Shape control of thin rigid inclusions and cracks in elastic bodies. Zbl 1293.74136 Khludnev, Alexander M. 25 2013 Optimal rigid inclusion shapes in elastic bodies with cracks. Zbl 1318.74016 Khludnev, A.; Negri, Matteo 23 2013 On the equilibrium of a two-layer elastic body with a crack. Zbl 1340.74005 Khludnev, A. M. 2 2013 Asymptotic behaviour at a tip of a rigid line inclusion in linearized elasticity. Zbl 1348.74041 Itou, Hiromici; Khludnev, A. M.; Rudoy, E. M.; Tani, A. 31 2012 Thin rigid inclusions with delaminations in elastic plates. Zbl 1278.74096 Khludnev, Alexander 24 2012 Crack on the boundary of a thin elastic inclusion inside an elastic body. Zbl 1322.74065 Khludnev, A.; Negri, M. 19 2012 Optimal control of inclusion and crack shapes in elastic bodies. Zbl 1287.49046 Khludnev, A.; Leugering, G.; Specovius-Neugebauer, M. 14 2012 Contact problems for elastic bodies with rigid inclusions. Zbl 1318.74015 Khludnev, Alexander 7 2012 Optimal control of cracks in elastic bodies with thin rigid inclusions. Zbl 1370.74136 Khludnev, Alexander M.; Leugering, Günter 24 2011 On bending an elastic plate with a delaminated thin rigid inclusion. Zbl 1230.74111 Khludnev, A. M. 18 2011 On elastic bodies with thin rigid inclusions and cracks. Zbl 1202.35323 Khludnev, Alexander; Leugering, Günter 49 2010 On the topological derivative due to kink of a crack with non-penetration. Anti-plane model. Zbl 1203.49035 Khludnev, A. M.; Kovtunenko, V. A.; Tani, A. 16 2010 Optimal control of crack growth in elastic body with inclusions. Zbl 1480.74272 Khludnev, Alexander 15 2010 Shape and topological sensitivity analysis in domains with cracks. Zbl 1224.49014 Khludnev, Alexander; Sokołowski, Jan; Szulc, Katarzyna 7 2010 Crack on the boundary of two overlapping domains. Zbl 1273.74441 Gaudiello, A.; Khludnev, A. M. 5 2010 On the equilibrium of elastic bodies containing thin rigid inclusions. Zbl 1337.74003 Leugering, G.; Khludnev, A. M. 4 2010 Stability of solutions to extremal problems of boundary control for stationary heat convection equations. Zbl 1228.76187 Alekseev, G. V.; Khludnev, A. M. 4 2010 Unilateral contact problems between an elastic plate and a beam. Zbl 1205.49006 Khludnev, Alexander 2 2010 Shape and topology sensitivity analysis for cracks in elastic bodies on boundaries of rigid inclusions. Zbl 1425.74042 Khludnev, A. M.; Novotny, A. A.; Sokołowski, J.; Żochowski, A. 32 2009 Crack in an elastic body crossing the external boundary at zero angle. Zbl 1249.49004 Alekseev, G. V.; Khludnev, A. M. 4 2009 Unilateral contact of a plate with a thin elastic obstacle. Zbl 1224.74086 Rudoj, E. M.; Khludnev, A. M. 2 2009 Evolution of a crack with kink and non-penetration. Zbl 1153.49040 Khludnev, Alexander M.; Kovtunenko, Victor A.; Tani, Atusi 14 2008 Overlapping domain problems in the crack theory with possible contact between crack faces. Zbl 1148.49008 Khludnev, Alexander; Tani, Atusi 10 2008 Asymptotics of solutions near crack tips for Poisson equation with inequality type boundary conditions. Zbl 1138.74043 Khludnev, A. M.; Kozlov, V. A. 9 2008 Unilateral contact problem for two inclined elastic bodies. Zbl 1154.74372 Khludnev, Alexander; Tani, Atusi 6 2008 Unilateral contact problems for two perpendicular elastic structures. Zbl 1147.35047 Khludnev, Alexander; Leugering, Günter 5 2008 On crack problem with overlapping domain. Zbl 1146.49002 Khludnev, A. M. 4 2008 On unilateral contact of two plates aligned at an angle to each other. Zbl 1272.74503 Khludnev, A. M. 4 2008 A crack that goes out to a contact boundary. The method of fictitious domains and invariant integrals. Zbl 1224.35394 Andersson, L.-E.; Khludnev, A. M. 2 2008 The variational contact problem for elastic objects of different dimensions. Zbl 1115.74038 Khludnev, A. M.; Hoffmann, Karl-Heinz; Botkin, N. D. 7 2006 A thermoelastic contact problem with a phase transition. Zbl 1115.74037 Hömberg, Dietmar; Khludnev, Alexander 4 2006 Asymptotic behavior of the solution to the Poisson equation near a crack tip with nonlinear boundary conditions on the crack faces. Zbl 1205.35068 Kozlov, V. A.; Khludnev, A. M. 4 2006 A problem of flow through semipermeable obstacle. Zbl 1201.76135 Khludnev, A. M.; Leontiev, A. N. 1 2006 Invariant integrals in the problem of a crack on the interface between two media. Zbl 1125.74365 Khludnev, A. M. 4 2005 Smooth domain method for crack problems. Zbl 1067.74056 Khludnev, Alexander M.; Sokołowski, Jan 10 2004 On crack propagation shapes in elastic bodies. Zbl 1099.74013 Brokate, M.; Khludnev, A. 9 2004 Fictitious domain method for the Signorini problem in a linear elasticity. Zbl 1134.74368 Hoffmann, Karl-Heinz; Khludnev, Alexander 8 2004 Nonsmooth domain optimization for elliptic equations with unilateral conditions. Zbl 1112.49006 Khludnev, A.; Leontiev, A.; Herskovits, J. 5 2003 A mathematical model for impulse resistance welding. Zbl 1029.35214 Duderstadt, F.; Hömberg, D.; Khludnev, A. M. 4 2003 On optimal boundary shapes in equilibrium problems for elastic bodies with cracks. Zbl 1249.74075 Khludnev, A. M. 2 2003 The fictitious domain method as applied to the Signorini problem. Zbl 1161.35028 Stepanov, V. D.; Khludnev, A. M. 2 2003 The method of fictitious domains in the Signorini problem. Zbl 1071.35057 Stepanov, V. D.; Khludnev, A. M. 2 2003 On derivative of energy functional for elastic bodies with cracks and unilateral conditions. Zbl 1075.74040 Khludnev, A. M.; Ohtsuka, K.; Sokołowski, J. 24 2002 On safe crack shapes in elastic bodies. Zbl 1027.74059 Hömberg, D.; Khludnev, A. M. 5 2002 The method of smooth domains in the equilibrium problem for a plate with a crack. Zbl 1075.74571 Khludnev, A. M. 5 2002 Quasistationary problem for a cracked body with electrothermoconductivity. Zbl 0985.35095 Hömberg, D.; Khludnev, A. M.; Sokołowski, J. 3 2001 Equilibrium problem for thermoelectroconductive body with the Signorini condition on the boundary. Zbl 0971.74034 Hömberg, D.; Khludnev, A. M. 2 2001 Derivatives of the energy functional for 2D-problems with a crack under Signorini and friction conditions. Zbl 0954.35076 Bach, Michael; Khludnev, Alexander M.; Kovtunenko, Victor A. 26 2000 Griffith formulae for elasticity systems with unilateral conditions in domains with cracks. Zbl 0966.74061 Khludnev, A. M.; Sokolowski, J. 21 2000 On differentiation of energy functionals of elasticity theory for solids with cracks. Zbl 1004.74035 Khludnev, A. M. 6 2000 Existence of solutions in the Prandtl-Reuss theory of elastoplastic plates. Zbl 0965.74014 Brokate, M.; Khludnev, A. M. 4 2000 Generalized \(J\)-integral method for sensitivity analysis of static shape design. Zbl 1010.49028 Ohtsuka, Kohji; Khludnev, Alexander 3 2000 On cracks of minimal opening in thermoelastic plates. Zbl 0992.74061 Hoffmann, K.-H.; Khludnev, A. M. 1 2000 The derivative of the energy functional along the crack length in problems of the theory of elasticity. Zbl 1017.74059 Sokolovskij, Ya.; Khludnev, A. M. 1 2000 The Griffith formula and the Rice-Cherepanov integral for crack problems with unilateral conditions in nonsmooth domains. Zbl 0945.74058 Khludnev, A. M.; Sokolowski, J. 20 1999 Griffith formula and Rice-Cherepanov’s integral for elliptic equations with unilateral conditions in nonsmooth domains. Zbl 0935.35057 Khludnev, A. M.; Sokolowski, J. 1 1999 On boundary value problems of elasticity in domains with nonsmooth boundary. Zbl 1083.74568 Khludnev, A. M. 1 1999 An equilibrium problem of a plate with an oblique cut. Zbl 0920.73108 Kovtunenko, V. A.; Leont’ev, A. N.; Khludnev, A. M. 5 1998 On solvability of boundary value problems in elastoplasticity. Zbl 0970.74026 Khludnev, A. M.; Sokołowski, J. 3 1998 Modelling and control in solid mechanics. Zbl 0865.73003 Khludnev, A. M.; Sokolowski, Jan 57 1997 Equilibrium problem of an elastic plate with an oblique crack. Zbl 0920.73107 Khludnev, A. M. 5 1997 On the contact of two plates one of which has a crack. Zbl 0895.73060 Khludnev, A. M. 1 1997 Contact problem for a plate having a crack of minimal opening. Zbl 0856.73067 Khludnev, Alexander M. 3 1996 On a Signorini problem for inclusions in shells. Zbl 0857.73054 Khludnev, A. M. 2 1996 On equilibrium problem for a plate having a crack under the creep condition. Zbl 0881.73119 Khludnev, A. M. 2 1996 The equilibrium problem for a thermoelastic plate with a crack. Zbl 0886.73024 Khludnev, A. M. 2 1996 The contact problem for a shallow shell with a crack. Zbl 0888.73058 Khludnev, A. M. 6 1995 ...and 19 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 248 Authors 63 Khludnev, Aleksandr Mikhaĭlovich 38 Lazarev, Nyurgun Petrovich 36 Kovtunenko, Viktor Anatolievich 19 Rudoy, Evgeny Mikhailovich 14 Sokołowski, Jan 13 Semenova, Galina Mikhaĭlovna 12 Popova, Tatiana Semenovna 11 Itou, Hiromichi 11 Leugering, Günter 9 Fankina, Irina Vladimirovna 9 Kunisch, Karl 8 Rajagopal, Kumbakonam Ramamani 8 Shcherbakov, Viktor Viktorovich 7 Novotny, Antonio André 7 Tani, Atusi 6 Hömberg, Dietmar 5 Faella, Luisa 5 Perugia, Carmen 4 Gaudiello, Antonio 4 Neitzel, Ira 4 Ohtsuka, Kohji 4 Zochowski, Antoni 3 Bunoiu, Renata 3 Furtsev, Alexey Igorevich 3 Hintermüller, Michael 3 Monsurrò, Sara 3 Negri, Matteo 3 Neustroeva, Natalia Valerianovna 3 Wollner, Winnifried 2 Alekseev, Gennady V. 2 Boettcher, Sören 2 Davoli, Elisa 2 Domnich, Anastasiya Aleksandrovna 2 Eleuteri, Michela 2 Everstov, Vladimir V. 2 Fedotov, Egor Dmitrievich 2 Felli, Veronica 2 Furtsev, Alekseĭ Igor’evich 2 Gratie, Liliana 2 Grigorev, Mark Petrovich 2 Harbrecht, Helmut 2 Hehl, Andreas 2 Heinemann, Christian 2 Hild, Patrick 2 Karnaev, Vyacheslav Mikhailovich 2 Knees, Dorothee 2 Kokurin, Mikhail Yur’evich 2 Kopfová, Jana 2 Lalegname, Adriana E. 2 Lazzaroni, Giuliano 2 Lemenant, Antoine 2 Lovíšek, Ján 2 Lucardesi, Ilaria 2 Meyer, Christian 2 Mora, Maria Giovanna 2 Nazarov, Sergeĭ Aleksandrovich 2 Nikolaeva, Natal’ya Afanas’evna 2 Onninen, Jani 2 Prechtel, Marina 2 Rehberg, Joachim 2 Rogerson, Graham A. 2 Romanova, Natalya A. 2 Sändig, Anna-Margarete 2 Sazhenkov, Sergey Alexandrovich 2 Specovius-Neugebauer, Maria Ursula 2 Steinmann, Paul 2 Stingl, Michael 2 Wick, Thomas 2 Zanini, Chiara 1 Almi, Stefano 1 Andrianov, Igor Vasil’evich 1 Andrieux, Stéphane 1 Ang, Dang Dinh 1 Antil, Harbir 1 Artëmov, Mikhail Anatol’evich 1 Azegami, Hideyuki 1 Bai, Liang 1 Balci, Mehmet N. 1 Bandle, Catherine 1 Baranovskiĭ, Evgeniĭ Sergeevich 1 Barboteu, Mikaël 1 Barbu, Luminiţa 1 Bartosz, Krzysztof 1 Bastos, Waldemar Donizete 1 Bednarczuk, Ewa M. 1 Belhachmi, Zakaria 1 Birgin, Ernesto G. 1 Bobylev, A. A. 1 Bojczuk, Dariusz 1 Bouchitté, Guy 1 Brokate, Martin 1 Brügger, Rahel 1 Caimmi, Francesco 1 Calisti, V. 1 Canelas, Alfredo 1 Chacouche, Khaled 1 Chambolle, Antonin 1 Christof, Constantin 1 Chuquipoma, José A. D. 1 Constantin, Adrian ...and 148 more Authors all top 5 Cited in 105 Serials 17 ZAMP. Zeitschrift für angewandte Mathematik und Physik 17 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 15 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki 14 Sibirskie Èlektronnye Matematicheskie Izvestiya 12 Mathematical Methods in the Applied Sciences 11 Journal of Optimization Theory and Applications 10 Siberian Mathematical Journal 8 SIAM Journal on Control and Optimization 8 Journal of Applied Mechanics and Technical Physics 7 Journal of Computational and Applied Mathematics 7 Mathematics and Mechanics of Solids 6 Journal of Applied Mathematics and Mechanics 6 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 5 Journal of Elasticity 4 Applied Mathematics and Optimization 4 Quarterly of Applied Mathematics 4 European Journal of Mechanics. A. Solids 4 International Journal of Fracture 4 Journal of Siberian Federal University. Mathematics & Physics 3 Applicable Analysis 3 Journal of Engineering Mathematics 3 Prikladnaya Matematika i Mekhanika 3 Applications of Mathematics 3 Computational Mathematics and Mathematical Physics 3 Calculus of Variations and Partial Differential Equations 3 Journal of Mathematical Sciences (New York) 3 Journal of Inverse and Ill-Posed Problems 3 Boundary Value Problems 3 Chelyabinskiĭ Fiziko-Matematicheskiĭ Zhurnal 2 International Journal of Engineering Science 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Zeitschrift für Analysis und ihre Anwendungen 2 Japan Journal of Industrial and Applied Mathematics 2 Applied Mathematical Modelling 2 International Applied Mechanics 2 Doklady Mathematics 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Journal of Inequalities and Applications 2 Nonlinear Analysis. 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Series B 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya: Matematika, Mekhanika, Informatika 1 Acta Numerica 1 Inverse Problems in Science and Engineering 1 GAMM-Mitteilungen 1 Mathematical Modelling of Natural Phenomena 1 Kinetic and Related Models 1 Eurasian Mathematical Journal 1 Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika ...and 5 more Serials all top 5 Cited in 24 Fields 227 Mechanics of deformable solids (74-XX) 135 Calculus of variations and optimal control; optimization (49-XX) 133 Partial differential equations (35-XX) 21 Numerical analysis (65-XX) 10 Fluid mechanics (76-XX) 10 Systems theory; control (93-XX) 7 Operator theory (47-XX) 5 Classical thermodynamics, heat transfer (80-XX) 5 Operations research, mathematical programming (90-XX) 4 Potential theory (31-XX) 4 Optics, electromagnetic theory (78-XX) 3 Ordinary differential equations (34-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Differential geometry (53-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Mechanics of particles and systems (70-XX) 1 Algebraic geometry (14-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Computer science (68-XX) 1 Geophysics (86-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year