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Author ID: slepyan.leonid-i Recent zbMATH articles by "Slepyan, Leonid I."
Published as: Slepyan, L. I.; Slepyan, Leonid I.; Slepyan, Leonid; Slepyan, L.
Documents Indexed: 61 Publications since 1963, including 4 Books
Biographic References: 2 Publications
Co-Authors: 21 Co-Authors with 36 Joint Publications
209 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

49 Publications have been cited 563 times in 271 Documents Cited by Year
Models and phenomena in fracture mechanics. Zbl 1047.74001
Slepyan, Leonid I.
94
2002
Transition waves in bistable structures. II: Analytical solution: wave speed and energy dissipation. Zbl 1146.74336
Slepyan, Leonid; Cherkaev, Andrej; Cherkaev, Elena
34
2005
Non-stationary elastic waves. (Нестационарные упругие волны) (Instationäre elastische Wellen.) Zbl 0283.73012
Slepyan, L. I.
31
1972
Dynamics of a crack in a lattice. Zbl 0497.73107
Slepyan, L. I.
31
1981
Mechanics of cracks. (Механика трещин.) Zbl 0552.73084
Slepyan, L. I.
28
1981
Dynamics of chains with non-monotone stress-strain relations. I: Model and numerical experiments. Zbl 1005.74046
Balk, 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 1003.74007
Slepyan, L. I.
23
2001
Dynamic factor in impact, phase transition and fracture. Zbl 0988.74050
Slepyan, L. I.
21
2000
Localised knife waves in a structured interface. Zbl 1244.74125
Mishuris, Gennady S.; Movchan, Alexander B.; Slepyan, Leonid I.
21
2009
Localized transition waves in bistable-bond lattices. Zbl 1159.74390
Slepyan, L. I.; Ayzenberg-Stepanenko, M. V.
18
2004
Dynamics of chains with non-monotone stress-strain relations. II: Nonlinear waves and waves of phase transition. Zbl 1005.74047
Balk, Alexander M.; Cherkaev, Andrej V.; Slepyan, Leonid I.
17
2001
Band gap Green’s functions and localized oscillations. Zbl 1131.74026
Movchan, Alexander B.; Slepyan, Leonid I.
16
2007
Waves and fracture in an inhomogeneous lattice structure. Zbl 1191.74005
Mishuris, G. S.; Movchan, A. B.; Slepyan, L. I.
15
2007
Feeding and dissipative waves in fracture and phase transition. III: Triangular-cellular lattice. Zbl 1140.74535
Slepyan, L. I.
13
2001
Dynamics of a bridged crack in a discrete lattice. Zbl 1138.74045
Mishuris, Gennady S.; Movchan, Alexander B.; Slepyan, Leonid I.
13
2008
Transition waves in bistable structures. I: Delocalization of damage. Zbl 1146.74335
Cherkaev, Andrej; Cherkaev, Elena; Slepyan, Leonid
12
2005
Some surprising phenomena in weak-bond fracture of a triangular lattice. Zbl 1116.74321
Slepyan, L. I.; Ayzenberg-Stepanenko, M. V.
11
2002
Integral transforms in nonstationary problems of mechanics. (Интегральные преобразования в нестационарных задачах механики.) Zbl 0483.44001
Slepyan, L. I.; Yakovlev, Yu. S.
11
1980
Crack propagation in high-frequency lattice vibrations. Zbl 0518.73091
Slepyan, L. I.
10
1981
The relation between the solutions of mixed dynamical problems for a continuous elastic medium and a lattice. Zbl 0541.73115
Slepyan, L. I.
9
1982
Crack in a lattice waveguide. Zbl 1425.74444
Slepyan, Leonid I.; Movchan, Alexander B.; Mishuris, Gennady S.
9
2010
Principle of maximum energy dissipation rate in crack dynamics. Zbl 0775.73214
Slepyan, L. I.
8
1993
Crack in a material-bond lattice. Zbl 1120.74793
Slepyan, L. I.
8
2005
Brittle fracture in a periodic structure with internal potential energy. Zbl 1371.74247
Mishuris, Gennady S.; Slepyan, Leonid I.
7
2014
Brittle fracture in a periodic structure with internal potential energy. Spontaneous crack propagation. Zbl 1371.74241
Ayzenberg-Stepanenko, Mark; Mishuris, Gennady; Slepyan, Leonid
7
2014
Dynamical extraction of a single chain from a discrete lattice. Zbl 1171.74434
Mishuris, Gennady S.; Movchan, Alexander B.; Slepyan, Leonid I.
6
2008
The problem of the propagation of a cut at transonic velocity. Zbl 0519.73085
Slepyan, L. I.; Fishkov, A. L.
6
1981
Dynamic crack growth under Rayleigh wave. Zbl 1244.74124
Slepyan, Leonid I.
6
2010
On Saint-Venant’s principle in the dynamics of beams. Zbl 0145.45803
Novozhilov, V. V.; Slepyan, L. I.
6
1965
Crack in a 2D beam lattice: analytical solutions for two bending modes. Zbl 1244.74121
Ryvkin, Michael; Slepyan, Leonid
5
2010
On the energy partition in oscillations and waves. Zbl 1371.70044
Slepyan, Leonid I.
4
2015
Analysis of structural-acoustic coupling problems by a two-level boundary integral method. I: A general formulation and test problems. Zbl 1065.74531
Slepyan, L. I.; Sorokin, S. V.
4
1995
Asymptotic solutions for crack closure in an elastic plate under combined extension and bending. Zbl 0876.73052
Slepyan, L. I.; Dempsey, J. P.; Shekhtman, I. I.
4
1995
Nonlinear waves in an inextensible flexible helix. Zbl 1064.74089
Krylov, V.; Parnes, R.; Slepyan, L.
4
1998
Waves in elastic bodies with discrete and continuous dynamic microstructure. Zbl 1462.74084
Mishuris, Gennady S.; Movchan, Alexander B.; Slepyan, Leonid I.
3
2020
Energy flux for zero group velocity of the carrying wave. Zbl 0636.73020
Slepyan, L. I.; Tsareva, O. V.
3
1987
Reflection, refraction, and emission of waves in piecewise-uniform elastic system interacting with a fluid. Zbl 0662.76031
Slepyan, L. I.; Fadeev, V. M.
3
1988
Solitary waves in a helix. Zbl 0842.73041
Slepyan, Leonid; Krylov, Viacheslav; Parnes, Raymond
2
1995
Forerunning mode transition in a continuous waveguide. Zbl 1349.74228
Slepyan, Leonid; Ayzenberg-Stepanenko, Mark; Mishuris, Gennady
2
2015
Helical inclusion in an elastic matrix. Zbl 0990.74019
Slepyan, L. I.; Krylov, V. I.; Parnes, R.
2
2000
Energy release in fracture of rate-dependent materials. Zbl 0987.74060
Slepyan, L. I.
2
1999
Nonlinear behavior of wavy composites under tension. Zbl 0977.74511
Chiskis, A.; Parnes, R.; Slepyan, L.
2
1997
Closure of a through crack in a plate under bending. Zbl 0930.74036
Dempsey, J. P.; Shekhtman, I. I.; Slepyan, L. I.
2
1998
Crack dynamics in a nonlinear lattice. Zbl 1272.74022
Slepyan, L. I.; Ayzenberg-Stepanenko, M. V.
2
2006
An approximate method of solving elasticity problems for large deformations. Zbl 0584.73041
Slepyan, L. I.; Vityazeva, E. V.
1
1984
Dynamic multi-structure in modelling a transition flexural wave. Zbl 1321.35233
Movchan, Alexander B.; Brun, Michele; Slepyan, Leonid I.; Giaccu, Gian F.
1
2015
The mixed plane problem in the case of the separation point of boundary conditions moving non-uniformly. Zbl 0469.73007
Slepyan, L. I.; Fishkov, A. L.
1
1980
Structural discontinuity as generalized strain and Fourier transform for discrete-continuous systems. Zbl 1423.74439
Slepyan, Leonid I.
1
2018
Boundary integral equations of interaction between thin-walled structures and a continuum. Zbl 0724.73168
Slepyan, L. I.; Sorokin, S. V.
1
1989
Waves in elastic bodies with discrete and continuous dynamic microstructure. Zbl 1462.74084
Mishuris, Gennady S.; Movchan, Alexander B.; Slepyan, Leonid I.
3
2020
Structural discontinuity as generalized strain and Fourier transform for discrete-continuous systems. Zbl 1423.74439
Slepyan, Leonid I.
1
2018
On the energy partition in oscillations and waves. Zbl 1371.70044
Slepyan, Leonid I.
4
2015
Forerunning mode transition in a continuous waveguide. Zbl 1349.74228
Slepyan, Leonid; Ayzenberg-Stepanenko, Mark; Mishuris, Gennady
2
2015
Dynamic multi-structure in modelling a transition flexural wave. Zbl 1321.35233
Movchan, Alexander B.; Brun, Michele; Slepyan, Leonid I.; Giaccu, Gian F.
1
2015
Brittle fracture in a periodic structure with internal potential energy. Zbl 1371.74247
Mishuris, Gennady S.; Slepyan, Leonid I.
7
2014
Brittle fracture in a periodic structure with internal potential energy. Spontaneous crack propagation. Zbl 1371.74241
Ayzenberg-Stepanenko, Mark; Mishuris, Gennady; Slepyan, Leonid
7
2014
Crack in a lattice waveguide. Zbl 1425.74444
Slepyan, Leonid I.; Movchan, Alexander B.; Mishuris, Gennady S.
9
2010
Dynamic crack growth under Rayleigh wave. Zbl 1244.74124
Slepyan, Leonid I.
6
2010
Crack in a 2D beam lattice: analytical solutions for two bending modes. Zbl 1244.74121
Ryvkin, Michael; Slepyan, Leonid
5
2010
Localised knife waves in a structured interface. Zbl 1244.74125
Mishuris, Gennady S.; Movchan, Alexander B.; Slepyan, Leonid I.
21
2009
Dynamics of a bridged crack in a discrete lattice. Zbl 1138.74045
Mishuris, Gennady S.; Movchan, Alexander B.; Slepyan, Leonid I.
13
2008
Dynamical extraction of a single chain from a discrete lattice. Zbl 1171.74434
Mishuris, Gennady S.; Movchan, Alexander B.; Slepyan, Leonid I.
6
2008
Band gap Green’s functions and localized oscillations. Zbl 1131.74026
Movchan, Alexander B.; Slepyan, Leonid I.
16
2007
Waves and fracture in an inhomogeneous lattice structure. Zbl 1191.74005
Mishuris, G. S.; Movchan, A. B.; Slepyan, L. I.
15
2007
Crack dynamics in a nonlinear lattice. Zbl 1272.74022
Slepyan, L. I.; Ayzenberg-Stepanenko, M. V.
2
2006
Transition waves in bistable structures. II: Analytical solution: wave speed and energy dissipation. Zbl 1146.74336
Slepyan, Leonid; Cherkaev, Andrej; Cherkaev, Elena
34
2005
Transition waves in bistable structures. I: Delocalization of damage. Zbl 1146.74335
Cherkaev, Andrej; Cherkaev, Elena; Slepyan, Leonid
12
2005
Crack in a material-bond lattice. Zbl 1120.74793
Slepyan, L. I.
8
2005
Localized transition waves in bistable-bond lattices. Zbl 1159.74390
Slepyan, L. I.; Ayzenberg-Stepanenko, M. V.
18
2004
Models and phenomena in fracture mechanics. Zbl 1047.74001
Slepyan, Leonid I.
94
2002
Some surprising phenomena in weak-bond fracture of a triangular lattice. Zbl 1116.74321
Slepyan, L. I.; Ayzenberg-Stepanenko, M. V.
11
2002
Dynamics of chains with non-monotone stress-strain relations. I: Model and numerical experiments. Zbl 1005.74046
Balk, 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 1003.74007
Slepyan, L. I.
23
2001
Dynamics of chains with non-monotone stress-strain relations. II: Nonlinear waves and waves of phase transition. Zbl 1005.74047
Balk, Alexander M.; Cherkaev, Andrej V.; Slepyan, Leonid I.
17
2001
Feeding and dissipative waves in fracture and phase transition. III: Triangular-cellular lattice. Zbl 1140.74535
Slepyan, L. I.
13
2001
Dynamic factor in impact, phase transition and fracture. Zbl 0988.74050
Slepyan, L. I.
21
2000
Helical inclusion in an elastic matrix. Zbl 0990.74019
Slepyan, L. I.; Krylov, V. I.; Parnes, R.
2
2000
Energy release in fracture of rate-dependent materials. Zbl 0987.74060
Slepyan, L. I.
2
1999
Nonlinear waves in an inextensible flexible helix. Zbl 1064.74089
Krylov, V.; Parnes, R.; Slepyan, L.
4
1998
Closure of a through crack in a plate under bending. Zbl 0930.74036
Dempsey, J. P.; Shekhtman, I. I.; Slepyan, L. I.
2
1998
Nonlinear behavior of wavy composites under tension. Zbl 0977.74511
Chiskis, A.; Parnes, R.; Slepyan, L.
2
1997
Analysis of structural-acoustic coupling problems by a two-level boundary integral method. I: A general formulation and test problems. Zbl 1065.74531
Slepyan, L. I.; Sorokin, S. V.
4
1995
Asymptotic solutions for crack closure in an elastic plate under combined extension and bending. Zbl 0876.73052
Slepyan, L. I.; Dempsey, J. P.; Shekhtman, I. I.
4
1995
Solitary waves in a helix. Zbl 0842.73041
Slepyan, Leonid; Krylov, Viacheslav; Parnes, Raymond
2
1995
Principle of maximum energy dissipation rate in crack dynamics. Zbl 0775.73214
Slepyan, L. I.
8
1993
Boundary integral equations of interaction between thin-walled structures and a continuum. Zbl 0724.73168
Slepyan, L. I.; Sorokin, S. V.
1
1989
Reflection, refraction, and emission of waves in piecewise-uniform elastic system interacting with a fluid. Zbl 0662.76031
Slepyan, L. I.; Fadeev, V. M.
3
1988
Energy flux for zero group velocity of the carrying wave. Zbl 0636.73020
Slepyan, L. I.; Tsareva, O. V.
3
1987
An approximate method of solving elasticity problems for large deformations. Zbl 0584.73041
Slepyan, 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 0541.73115
Slepyan, L. I.
9
1982
Dynamics of a crack in a lattice. Zbl 0497.73107
Slepyan, L. I.
31
1981
Mechanics of cracks. (Механика трещин.) Zbl 0552.73084
Slepyan, L. I.
28
1981
Crack propagation in high-frequency lattice vibrations. Zbl 0518.73091
Slepyan, L. I.
10
1981
The problem of the propagation of a cut at transonic velocity. Zbl 0519.73085
Slepyan, L. I.; Fishkov, A. L.
6
1981
Integral transforms in nonstationary problems of mechanics. (Интегральные преобразования в нестационарных задачах механики.) Zbl 0483.44001
Slepyan, L. I.; Yakovlev, Yu. S.
11
1980
The mixed plane problem in the case of the separation point of boundary conditions moving non-uniformly. Zbl 0469.73007
Slepyan, L. I.; Fishkov, A. L.
1
1980
Non-stationary elastic waves. (Нестационарные упругие волны) (Instationäre elastische Wellen.) Zbl 0283.73012
Slepyan, L. I.
31
1972
On Saint-Venant’s principle in the dynamics of beams. Zbl 0145.45803
Novozhilov, V. V.; Slepyan, L. I.
6
1965
all top 5

Cited by 326 Authors

26 Slepyan, Leonid I.
19 Sharma, Basant Lal
18 Movchan, Alexander B.
14 Mishuris, Gennady S.
13 Vainchtein, Anna
11 Truskinovsky, Lev
8 Jones, Ian S.
7 Ayzenberg-Stepanenko, Mark V.
7 Ryvkin, Michael
6 Brun, Michele
6 Cherkaev, Andrej V.
6 Zimmer, Johannes
5 Eremeyev, Victor A.
5 Kutsenko, Anton A.
5 Neves, Mario jun.
5 Schwetlick, Hartmut R.
4 Carta, Giorgio
4 Colquitt, Daniel J.
4 Gorbushin, Nikolai
3 Abeyaratne, Rohan C.
3 Andrianov, Igor V.
3 Bukatov, A. E.
3 Craster, Richard V.
3 Gao, Huajian
3 Kisil, Anastasia V.
3 Maurya, Gaurav
3 Osharovich, Gregory G.
3 Parnes, Raymond
3 Ryabov, Viktor Mikhaĭlovich
3 Sapio, Francesco
3 Tarlakovskiĭ, Dmitriĭ Valentinovich
3 Walton, Jay R.
3 Weichert, Dieter
2 Buffoni, Boris
2 Bykovtsev, A. G.
2 Dempsey, John P.
2 Fedotenkov, Grigoriĭ Valer’evich
2 Fuchs, Moshe B.
2 Gawlik, Aleksandra
2 Giaccu, Gian F.
2 Glagolev, Vadim V.
2 Gorshkov, A. G.
2 Guz, Alexander Nikolaevich
2 Hadar, Or
2 Herrmann, Michael
2 Kapanadze, David
2 Kaplunov, Julius D.
2 Karp, Baruch
2 Kessler, David A.
2 Klepka, Andrzej
2 Koshman, V. P.
2 Kresse, O.
2 Kuznetsov, V. N.
2 Lebedeva, A. V.
2 Leise, Tanya L.
2 Lin, Ping
2 Lipperman, Fabian
2 Markin, A. A.
2 Nazarenko, V. M.
2 Nuller, B. M.
2 Opanasovych, V. K.
2 Piccolroaz, Andrea
2 Pozhuev, V. I.
2 Puglisi, Giuseppe
2 Sherman, Dov
2 Slobodyan, M. S.
2 Van Vleck, Erik S.
2 Vaysfel’d, Natal’ya Daniilovna
2 Vladimirov, Vsevolod A.
2 Willis, John Raymond
2 Zav’yalov, D. D.
1 Abdukadirov, Sagdulla A.
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 Anjali, TC
1 Antipov, Yuri A.
1 Avila-Pozos, Orlando
1 Awrejcewicz, Jan
1 Ayton, Lorna J.
1 Bakirov, V. F.
1 Bazhenov, Valentin 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
...and 226 more Authors
all top 5

Cited in 66 Serials

48 Journal of the Mechanics and Physics of Solids
19 Continuum Mechanics and Thermodynamics
18 Soviet Applied Mechanics
17 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
16 Journal of Applied Mathematics and Mechanics
15 International Journal of Engineering Science
8 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
5 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
4 Fluid Dynamics
4 Physica D
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 Computational Mechanics
3 Journal of Elasticity
3 International Applied Mechanics
2 Acta Mechanica
2 International Journal of Solids and Structures
2 Journal of Engineering Mathematics
2 Moscow University Mechanics Bulletin
2 Computational Mathematics and Mathematical Physics
2 Applied Mathematical Modelling
2 Matematychni Metody ta Fizyko-Mekhanichni Polya
2 Nonlinear Dynamics
2 Doklady Physics
2 Sādhanā
2 Waves in Random and Complex Media
1 Analysis Mathematica
1 Journal of Computational Physics
1 Journal of Mathematical Analysis and Applications
1 Journal of Mathematical Physics
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 Journal of Integral Equations and Applications
1 European Journal of Applied Mathematics
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Archive of Applied Mechanics
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 Vestnik St. Petersburg University. Mathematics
1 NoDEA. Nonlinear Differential Equations and Applications
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 Milan Journal of Mathematics
1 SIAM Journal on Applied Dynamical Systems
1 Communications in Computational Physics
1 Advances in Applied Mathematics and Mechanics

Citations by Year