Edit Profile Slepyan, Leonid I. Compute Distance To: Compute Author ID: slepyan.leonid-i Published as: Slepyan, L.; Slepyan, L. I.; Slepyan, Leonid; Slepyan, Leonid I. Documents Indexed: 59 Publications since 1963, including 4 Books Biographic References: 1 Publication all top 5 Co-Authors 22 single-authored 8 Mishuris, Gennady S. 7 Movchan, Alexander B. 6 Ayzenberg-Stepanenko, Mark V. 4 Cherkaev, Andrej V. 4 Parnes, Raymond 2 Balk, Alexander M. 2 Brun, Michele 2 Cherkaev, Elena 2 Dempsey, John P. 2 Fishkov, A. L. 2 Krylov, Viacheslav 2 Shekhtman, I. I. 2 Sorokin, Serge Vladimirovich 2 Yakovlev, Yu. S. 1 Chiskis, Alexander 1 Fadeev, V. M. 1 Giaccu, Gian F. 1 Krylov, V. I. 1 Lavrov, N. A. 1 Novozhilov, V. V. 1 Ryvkin, Michael 1 Tsareva, O. V. 1 Vityazeva, E. V. all top 5 Serials 20 Journal of the Mechanics and Physics of Solids 9 Soviet Physics. Doklady 3 Wave Motion 3 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 International Journal of Fracture 2 PMM, Journal of Applied Mathematics and Mechanics 1 International Journal of Engineering Science 1 International Journal of Solids and Structures 1 Journal of Sound and Vibration 1 Quarterly Journal of Mechanics and Applied Mathematics 1 Mathematika 1 Proceedings of the Estonian Academy of Sciences. Physics, Mathematics 1 Waves in Random and Complex Media 1 Proceedings A. Royal Society of London 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Foundations of Engineering Mechanics all top 5 Fields 52 Mechanics of deformable solids (74-XX) 4 Partial differential equations (35-XX) 4 Mechanics of particles and systems (70-XX) 4 Fluid mechanics (76-XX) 2 Integral transforms, operational calculus (44-XX) 1 General and overarching topics; collections (00-XX) 1 Ordinary differential equations (34-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Classical thermodynamics, heat transfer (80-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 45 Publications have been cited 471 times in 240 Documents Cited by ▼ Year ▼ Models and phenomena in fracture mechanics. Zbl 1047.74001Slepyan, Leonid I. 71 2002 Mechanics of cracks. Zbl 0552.73084Slepyan, L. I. 28 1981 Transition waves in bistable structures. II: Analytical solution: wave speed and energy dissipation. Zbl 1146.74336Slepyan, Leonid; Cherkaev, Andrej; Cherkaev, Elena 27 2005 Dynamics of a crack in a lattice. Zbl 0497.73107Slepyan, L. I. 27 1981 Non-stationary elastic waves. Zbl 0283.73012Slepyan, L. I. 27 1972 Dynamics of chains with non-monotone stress-strain relations. I: Model and numerical experiments. Zbl 1005.74046Balk, Alexander M.; Cherkaev, Andrej V.; Slepyan, Leonid I. 23 2001 Feeding and dissipative waves in fracture and phase transition. I: Some 1D structures and a square-cell lattice. II: Phase-transition waves. Zbl 1003.74007Slepyan, L. I. 20 2001 Dynamic factor in impact, phase transition and fracture. Zbl 0988.74050Slepyan, L. I. 20 2000 Dynamics of chains with non-monotone stress-strain relations. II: Nonlinear waves and waves of phase transition. Zbl 1005.74047Balk, Alexander M.; Cherkaev, Andrej V.; Slepyan, Leonid I. 18 2001 Localized transition waves in bistable-bond lattices. Zbl 1159.74390Slepyan, L. I.; Ayzenberg-Stepanenko, M. V. 16 2004 Localised knife waves in a structured interface. Zbl 1244.74125Mishuris, Gennady S.; Movchan, Alexander B.; Slepyan, Leonid I. 13 2009 Band gap Green’s functions and localized oscillations. Zbl 1131.74026Movchan, Alexander B.; Slepyan, Leonid I. 13 2007 Integral transforms in nonstationary problems of mechanics. Zbl 0483.44001Slepyan, L. I.; Yakovlev, Yu. S. 13 1980 Waves and fracture in an inhomogeneous lattice structure. Zbl 1191.74005Mishuris, G. S.; Movchan, A. B.; Slepyan, L. I. 11 2007 Feeding and dissipative waves in fracture and phase transition. III: Triangular-cellular lattice. Zbl 1140.74535Slepyan, L. I. 10 2001 Crack propagation in high-frequency lattice vibrations. Zbl 0518.73091Slepyan, L. I. 10 1981 Dynamics of a bridged crack in a discrete lattice. Zbl 1138.74045Mishuris, Gennady S.; Movchan, Alexander B.; Slepyan, Leonid I. 9 2008 Some surprising phenomena in weak-bond fracture of a triangular lattice. Zbl 1116.74321Slepyan, L. I.; Ayzenberg-Stepanenko, M. V. 9 2002 The relation between the solutions of mixed dynamical problems for a continuous elastic medium and a lattice. Zbl 0541.73115Slepyan, L. I. 9 1982 On Saint-Venant’s principle in the dynamics of beams. Zbl 0145.45803Novozhilov, V. V.; Slepyan, L. I. 9 1965 Crack in a material-bond lattice. Zbl 1120.74793Slepyan, L. I. 8 2005 Transition waves in bistable structures. I: Delocalization of damage. Zbl 1146.74335Cherkaev, Andrej; Cherkaev, Elena; Slepyan, Leonid 8 2005 Principle of maximum energy dissipation rate in crack dynamics. Zbl 0775.73214Slepyan, L. I. 8 1993 The problem of the propagation of a cut at transonic velocity. Zbl 0519.73085Slepyan, L. I.; Fishkov, A. L. 6 1981 Brittle fracture in a periodic structure with internal potential energy. Spontaneous crack propagation. Zbl 1371.74241Ayzenberg-Stepanenko, Mark; Mishuris, Gennady; Slepyan, Leonid 5 2014 Brittle fracture in a periodic structure with internal potential energy. Zbl 1371.74247Mishuris, Gennady S.; Slepyan, Leonid I. 5 2014 Crack in a lattice waveguide. Zbl 1425.74444Slepyan, Leonid I.; Movchan, Alexander B.; Mishuris, Gennady S. 5 2010 Dynamic crack growth under Rayleigh wave. Zbl 1244.74124Slepyan, Leonid I. 4 2010 Dynamical extraction of a single chain from a discrete lattice. Zbl 1171.74434Mishuris, Gennady S.; Movchan, Alexander B.; Slepyan, Leonid I. 4 2008 Asymptotic solutions for crack closure in an elastic plate under combined extension and bending. Zbl 0876.73052Slepyan, L. I.; Dempsey, J. P.; Shekhtman, I. I. 4 1995 Crack in a 2D beam lattice: analytical solutions for two bending modes. Zbl 1244.74121Ryvkin, Michael; Slepyan, Leonid 3 2010 Nonlinear waves in an inextensible flexible helix. Zbl 1064.74089Krylov, V.; Parnes, R.; Slepyan, L. 3 1998 Analysis of structural-acoustic coupling problems by a two-level boundary integral method. I: A general formulation and test problems. Zbl 1065.74531Slepyan, L. I.; Sorokin, S. V. 3 1995 Reflection, refraction, and emission of waves in piecewise-uniform elastic system interacting with a fluid. Zbl 0662.76031Slepyan, L. I.; Fadeev, V. M. 3 1988 Crack dynamics in a nonlinear lattice. Zbl 1272.74022Slepyan, L. I.; Ayzenberg-Stepanenko, M. V. 2 2006 Helical inclusion in an elastic matrix. Zbl 0990.74019Slepyan, L. I.; Krylov, V. I.; Parnes, R. 2 2000 Energy release in fracture of rate-dependent materials. Zbl 0987.74060Slepyan, L. I. 2 1999 Closure of a through crack in a plate under bending. Zbl 0930.74036Dempsey, J. P.; Shekhtman, I. I.; Slepyan, L. I. 2 1998 Nonlinear behavior of wavy composites under tension. Zbl 0977.74511Chiskis, A.; Parnes, R.; Slepyan, L. 2 1997 Solitary waves in a helix. Zbl 0842.73041Slepyan, Leonid; Krylov, Viacheslav; Parnes, Raymond 2 1995 Energy flux for zero group velocity of the carrying wave. Zbl 0636.73020Slepyan, L. I.; Tsareva, O. V. 2 1987 The mixed plane problem in the case of the separation point of boundary conditions moving non-uniformly. Zbl 0469.73007Slepyan, L. I.; Fishkov, A. L. 2 1980 On the energy partition in oscillations and waves. Zbl 1371.70044Slepyan, Leonid I. 1 2015 Boundary integral equations of interaction between thin-walled structures and a continuum. Zbl 0724.73168Slepyan, L. I.; Sorokin, S. V. 1 1989 An approximate method of solving elasticity problems for large deformations. Zbl 0584.73041Slepyan, L. I.; Vityazeva, E. V. 1 1984 On the energy partition in oscillations and waves. Zbl 1371.70044Slepyan, Leonid I. 1 2015 Brittle fracture in a periodic structure with internal potential energy. Spontaneous crack propagation. Zbl 1371.74241Ayzenberg-Stepanenko, Mark; Mishuris, Gennady; Slepyan, Leonid 5 2014 Brittle fracture in a periodic structure with internal potential energy. Zbl 1371.74247Mishuris, Gennady S.; Slepyan, Leonid I. 5 2014 Crack in a lattice waveguide. Zbl 1425.74444Slepyan, Leonid I.; Movchan, Alexander B.; Mishuris, Gennady S. 5 2010 Dynamic crack growth under Rayleigh wave. Zbl 1244.74124Slepyan, Leonid I. 4 2010 Crack in a 2D beam lattice: analytical solutions for two bending modes. Zbl 1244.74121Ryvkin, Michael; Slepyan, Leonid 3 2010 Localised knife waves in a structured interface. Zbl 1244.74125Mishuris, Gennady S.; Movchan, Alexander B.; Slepyan, Leonid I. 13 2009 Dynamics of a bridged crack in a discrete lattice. Zbl 1138.74045Mishuris, Gennady S.; Movchan, Alexander B.; Slepyan, Leonid I. 9 2008 Dynamical extraction of a single chain from a discrete lattice. Zbl 1171.74434Mishuris, Gennady S.; Movchan, Alexander B.; Slepyan, Leonid I. 4 2008 Band gap Green’s functions and localized oscillations. Zbl 1131.74026Movchan, Alexander B.; Slepyan, Leonid I. 13 2007 Waves and fracture in an inhomogeneous lattice structure. Zbl 1191.74005Mishuris, G. S.; Movchan, A. B.; Slepyan, L. I. 11 2007 Crack dynamics in a nonlinear lattice. Zbl 1272.74022Slepyan, L. I.; Ayzenberg-Stepanenko, M. V. 2 2006 Transition waves in bistable structures. II: Analytical solution: wave speed and energy dissipation. Zbl 1146.74336Slepyan, Leonid; Cherkaev, Andrej; Cherkaev, Elena 27 2005 Crack in a material-bond lattice. Zbl 1120.74793Slepyan, L. I. 8 2005 Transition waves in bistable structures. I: Delocalization of damage. Zbl 1146.74335Cherkaev, Andrej; Cherkaev, Elena; Slepyan, Leonid 8 2005 Localized transition waves in bistable-bond lattices. Zbl 1159.74390Slepyan, L. I.; Ayzenberg-Stepanenko, M. V. 16 2004 Models and phenomena in fracture mechanics. Zbl 1047.74001Slepyan, Leonid I. 71 2002 Some surprising phenomena in weak-bond fracture of a triangular lattice. Zbl 1116.74321Slepyan, L. I.; Ayzenberg-Stepanenko, M. V. 9 2002 Dynamics of chains with non-monotone stress-strain relations. I: Model and numerical experiments. Zbl 1005.74046Balk, Alexander M.; Cherkaev, Andrej V.; Slepyan, Leonid I. 23 2001 Feeding and dissipative waves in fracture and phase transition. I: Some 1D structures and a square-cell lattice. II: Phase-transition waves. Zbl 1003.74007Slepyan, L. I. 20 2001 Dynamics of chains with non-monotone stress-strain relations. II: Nonlinear waves and waves of phase transition. Zbl 1005.74047Balk, Alexander M.; Cherkaev, Andrej V.; Slepyan, Leonid I. 18 2001 Feeding and dissipative waves in fracture and phase transition. III: Triangular-cellular lattice. Zbl 1140.74535Slepyan, L. I. 10 2001 Dynamic factor in impact, phase transition and fracture. Zbl 0988.74050Slepyan, L. I. 20 2000 Helical inclusion in an elastic matrix. Zbl 0990.74019Slepyan, L. I.; Krylov, V. I.; Parnes, R. 2 2000 Energy release in fracture of rate-dependent materials. Zbl 0987.74060Slepyan, L. I. 2 1999 Nonlinear waves in an inextensible flexible helix. Zbl 1064.74089Krylov, V.; Parnes, R.; Slepyan, L. 3 1998 Closure of a through crack in a plate under bending. Zbl 0930.74036Dempsey, J. P.; Shekhtman, I. I.; Slepyan, L. I. 2 1998 Nonlinear behavior of wavy composites under tension. Zbl 0977.74511Chiskis, A.; Parnes, R.; Slepyan, L. 2 1997 Asymptotic solutions for crack closure in an elastic plate under combined extension and bending. Zbl 0876.73052Slepyan, L. I.; Dempsey, J. P.; Shekhtman, I. I. 4 1995 Analysis of structural-acoustic coupling problems by a two-level boundary integral method. I: A general formulation and test problems. Zbl 1065.74531Slepyan, L. I.; Sorokin, S. V. 3 1995 Solitary waves in a helix. Zbl 0842.73041Slepyan, Leonid; Krylov, Viacheslav; Parnes, Raymond 2 1995 Principle of maximum energy dissipation rate in crack dynamics. Zbl 0775.73214Slepyan, L. I. 8 1993 Boundary integral equations of interaction between thin-walled structures and a continuum. Zbl 0724.73168Slepyan, L. I.; Sorokin, S. V. 1 1989 Reflection, refraction, and emission of waves in piecewise-uniform elastic system interacting with a fluid. Zbl 0662.76031Slepyan, L. I.; Fadeev, V. M. 3 1988 Energy flux for zero group velocity of the carrying wave. Zbl 0636.73020Slepyan, L. I.; Tsareva, O. V. 2 1987 An approximate method of solving elasticity problems for large deformations. Zbl 0584.73041Slepyan, L. I.; Vityazeva, E. V. 1 1984 The relation between the solutions of mixed dynamical problems for a continuous elastic medium and a lattice. Zbl 0541.73115Slepyan, L. I. 9 1982 Mechanics of cracks. Zbl 0552.73084Slepyan, L. I. 28 1981 Dynamics of a crack in a lattice. Zbl 0497.73107Slepyan, L. I. 27 1981 Crack propagation in high-frequency lattice vibrations. Zbl 0518.73091Slepyan, L. I. 10 1981 The problem of the propagation of a cut at transonic velocity. Zbl 0519.73085Slepyan, L. I.; Fishkov, A. L. 6 1981 Integral transforms in nonstationary problems of mechanics. Zbl 0483.44001Slepyan, L. I.; Yakovlev, Yu. S. 13 1980 The mixed plane problem in the case of the separation point of boundary conditions moving non-uniformly. Zbl 0469.73007Slepyan, L. I.; Fishkov, A. L. 2 1980 Non-stationary elastic waves. Zbl 0283.73012Slepyan, L. I. 27 1972 On Saint-Venant’s principle in the dynamics of beams. Zbl 0145.45803Novozhilov, V. V.; Slepyan, L. I. 9 1965 all cited Publications top 5 cited Publications all top 5 Cited by 318 Authors 24 Slepyan, Leonid I. 15 Sharma, Basant Lal 14 Movchan, Alexander B. 12 Vainchtein, Anna 10 Truskinovsky, Lev 9 Mishuris, Gennady S. 6 Ayzenberg-Stepanenko, Mark V. 6 Ryvkin, Michael 6 Zimmer, Johannes 5 Brun, Michele 5 Cherkaev, Andrej V. 5 Jones, Ian S. F. 5 Kutsenko, Anton A. 5 Schwetlick, Hartmut R. 4 Andrianov, Igor V. 4 Eremeyev, Victor A. 3 Abeyaratne, Rohan C. 3 Bukatov, A. E. 3 Colquitt, Daniel J. 3 Craster, Richard V. 3 Gao, Huajian 3 Movchan, Natalia V. 3 Neves, Mario jun. 3 Parnes, Raymond 3 Ryabov, V. M. 3 Tarlakovskiĭ, Dmitriĭ Valentinovich 3 Walton, Jay R. 3 Weichert, Dieter 2 Buffoni, Boris 2 Bykovtsev, A. G. 2 Cherkaev, Elena 2 Dempsey, John P. 2 Fedotenkov, G. V. 2 Fuchs, Moshe B. 2 Giaccu, Gian F. 2 Glagolev, Vadim V. 2 Gorbushin, Nikolai 2 Gorshkov, A. G. 2 Guz, Alexander Nikolaevich 2 Hadar, Or 2 Herrmann, Michael 2 Karp, Baruch 2 Kessler, David A. 2 Kisil, Anastasia V. 2 Koshman, V. P. 2 Kreinovich, Vladik Yakovlevich 2 Kresse, O. 2 Kuznetsov, V. N. 2 Lebedeva, A. V. 2 Leise, Tanya L. 2 Lipperman, Fabian 2 Marder, Michael 2 Markin, A. A. 2 Movchan, Natasha V. 2 Nazarenko, V. M. 2 Nuller, B. M. 2 Opanasovych, V. K. 2 Osharovich, Grigory 2 Pozhuev, V. I. 2 Puglisi, Giovanni 2 Puglisi, Giuseppe 2 Sherman, Dov 2 Slobodyan, M. S. 2 Tsareva, O. V. 2 Vakulenko, August A. 2 Van Vleck, Erik S. 2 Willis, John Raymond 2 Zav’yalov, D. D. 1 Abrosimov, N. A. 1 Adams, Samuel D. M. 1 Adda Bedia, Mokhtar 1 Afanasieva, O. A. 1 Aleksandrova, N. I. 1 Alekseenko, O. P. 1 Andrianov, Igor Vasil’evich 1 Anjali, TC 1 Antipov, Yuri A. 1 Avila-Pozos, Orlando 1 Awrejcewicz, Jan 1 Bakirov, V. F. 1 Bazhenov, V. G. 1 Be’ery, Ilan 1 Beex, Lars A. A. 1 Bercial-Velez, J. P. 1 Berdichevskiĭ, Viktor L’vovich 1 Berenstein, Arkady 1 Bernstein, Joseph 1 Bhattacharya, Kaushik 1 Bigoni, Davide 1 Borodachev, A. N. 1 Borodich, Feodor M. 1 Botogova, Marina G. 1 Bouchbinder, Eran 1 Bykovtsev, A. S. 1 Caponi, Maicol 1 Cardin, Franco 1 Carpio, Ana 1 Carta, Giorgio 1 Cartraud, Patrice 1 Chandross, Michael ...and 218 more Authors all top 5 Cited in 61 Serials 46 Journal of the Mechanics and Physics of Solids 19 Journal of Applied Mathematics and Mechanics 19 Continuum Mechanics and Thermodynamics 18 Soviet Applied Mechanics 13 International Journal of Engineering Science 7 Wave Motion 7 ZAMP. Zeitschrift für angewandte Mathematik und Physik 6 Prikladnaya Matematika i Mekhanika 6 International Journal of Fracture 5 Journal of Nonlinear Science 5 Lobachevskii Journal of Mathematics 4 Fluid Dynamics 4 SIAM Journal on Applied Mathematics 4 Mathematics and Mechanics of Solids 4 Journal of Applied Mechanics and Technical Physics 4 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 3 Archive for Rational Mechanics and Analysis 3 Computer Methods in Applied Mechanics and Engineering 3 Mathematical Methods in the Applied Sciences 3 Physica D 3 Computational Mechanics 3 International Applied Mechanics 2 International Journal of Solids and Structures 2 Computational Mathematics and Mathematical Physics 2 Applied Mathematical Modelling 2 Journal of Elasticity 2 Matematychni Metody ta Fizyko-Mekhanichni Polya 2 Nonlinear Dynamics 2 Doklady Physics 2 Sādhanā 2 Waves in Random and Complex Media 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Analysis Mathematica 1 Journal of Computational Physics 1 Journal of Engineering Mathematics 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Physics 1 Moscow University Mechanics Bulletin 1 Physics Letters. A 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Applied Mathematics and Computation 1 Journal of Differential Equations 1 Mathematische Nachrichten 1 Mathematika 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Applied Mathematics and Mechanics. (English Edition) 1 Applied Mathematics Letters 1 Journal of Integral Equations and Applications 1 European Journal of Applied Mathematics 1 Annals of Physics 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Archive of Applied Mechanics 1 Vestnik St. Petersburg University. Mathematics 1 Engineering Analysis with Boundary Elements 1 Mathematical Problems in Engineering 1 Transformation Groups 1 Multibody System Dynamics 1 European Journal of Mechanics. A. Solids 1 Engineering Computations 1 Archives of Computational Methods in Engineering 1 SIAM Journal on Applied Dynamical Systems all top 5 Cited in 29 Fields 197 Mechanics of deformable solids (74-XX) 38 Partial differential equations (35-XX) 18 Statistical mechanics, structure of matter (82-XX) 16 Fluid mechanics (76-XX) 13 Mechanics of particles and systems (70-XX) 12 Operator theory (47-XX) 11 Dynamical systems and ergodic theory (37-XX) 10 Numerical analysis (65-XX) 10 Optics, electromagnetic theory (78-XX) 9 Difference and functional equations (39-XX) 7 Integral equations (45-XX) 5 Ordinary differential equations (34-XX) 5 Geophysics (86-XX) 4 Integral transforms, operational calculus (44-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Functions of a complex variable (30-XX) 2 History and biography (01-XX) 2 Quantum theory (81-XX) 1 Associative rings and algebras (16-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Sequences, series, summability (40-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) Citations by Year