List of Publications

Monographs

• Slepyan, L.I., Non-steady-state Elastic Waves, Sudostroenie, Leningrad, 1972, 374 pp. (in Russian).
• Slepyan, L.I. and Yakovlev, Yu.S., Integral Transforms in Non-steady-state Problems of Mechanics, Sudostroenie, Leningrad, 1980, 343 pp. (in Russian).
• Slepyan, L.I., Mechanics of Cracks, Sudostroenie, Leningrad, 1981 (1st edition), 1990 (2nd edition), 296 pp.
• Slepyan, L.I., 2002. Models and Phenomena in Fracture Mechanics. Springer, Berlin, pp. 576.

Articles

• Slepyan, L.I., 1957. Partial Docking of a Ship in a Floating Dock. Sudostroenie, No. 10, 41-45 (in Russian).
  
• Slepyan, L.I., 1963. On a Displacement of a Deformable Body in Acoustic Medium. J. Appl. Math. Mech., 27, 1402-1411.
  
• Novozhilov, V.V. and Slepyan, L.I., 1965. On the Saint Venant Principle in Dynamics of Beams. J. Appl. Math. Mech., 29, 293-315.
  
• Slepyan, L.I., 1965. Use of Fourier Series for the Investigation of Waves of Deformation. Soviet Appl. Mech., 1, No. 8, 112-119.
  
• Slepyan, L.I., 1965. Analysis of Non-steady-state Strain by Means of Series Defined in a Variable Interval. Izv. Ac. Sci. USSR, Mekhanika, No. 4, 62-69.
  
• Slepyan, L.I., 1966. Interaction of a Plate and a Fluid under Impact. Mechanics of Solids, 1, 28-31.
  
• Slepyan, L.I., 1966. Resonance Phenomena in Plates and Shells under Moving Loads. Proc. of the VI All-Union Conf. on Plates and Shells, Nauka, Moscow, 690-696 (in Russian).
  
• Slepyan, L.I., 1966. Use of Fourier Series in the Study of Elastic-Plastic Wave Propagation. Proc. of the All-Union Sympos. on Propagation of Elastic-Plastic Waves in Continuous Media, 112-119 (in Russian).
  
• Ayzenberg, M.V. and Slepyan, L.I., 1967. Resonance Waves in a Hollow Cylinder Immersed into a Compressible Liquid. Proc. of the All-Union Sympos. on Transient Processes of the Deformation of Plates and Shells, Tallin, 13-21 (in Russian).
  
• Slepyan, L.I., 1967. Transient Processes in an Elastic Layer Immersed into a Compressible Liquid. Proc. of All-Union Sympos. on Transient Processes of the Deformation of Plates and Shells, Tallin, 135-149 (in Russian).
  
• Slepyan, L.I., 1967. The Strain Wave in a Bar with Vibration-Isolated Masses. Mechanics of Solids, 2, 57-64.
  
• Slepyan, L.I., 1968. Brittle Failure Waves. Mechanics of Solids, 3, 202-204.
  
• Slepyan, L.I., and Troyankina, L.V., 1969. The Failure of Brittle Bar Under Longitudinal Impact. Mechanics of Solids, 4, 57-64.
  
• Slepyan, L.I., 1970. Quasi-Steady-State Elastic Waves. In: `Problems of Mechanics of a Deformable Body', Sudostroenie, Leningrad, 427-437 (in Russian).
  
• Slepyan, L.I., and Troyankina, L.V., 1970. On the Structure of a Fracture Wave. In: Dynamics of Continua, SO Ac. Sci. USSR, Hydrodynamics Research Institute, No 4, 83-97 (in Russian).
  
• Slepyan, L.I., 1971. Relations between Properties of a Continuum, Stresses and Strains in the Neighborhood of a Crack. In `Numerical Methods in Mechanics of Continua', SO Ac. Sci. USSR, 2, No 4, 126-133 (in Russian).
  
• Kornev, V.M., Slepyan, L.I., and Troyankina, L.V., 1971. On the Wave of Instability. Proc. of the 7th All-Union Conf. of Shell and Plate Theory, Nauka, 310-313 (in Russian).
  
• Slepyan, L.I., 1972. Nonstationary Elastic Waves. Sudostroenie, Leningrad (in Russian).
  
• Slepyan, L.I., 1972. Strains in the Neighborhood of a Singular Point. Mechanics of Solids, 7, 60-68.
  
• Slepyan, L.I., 1973. Deformation at the Edge of a Growing Crack. Mechanics of Solids, 8, 125-134.
  
• Slepyan, L.I., and Troyankina, L.V., 1973. Influence of Unloading Waves Velocity on the Fracture of a Brittle Rod. In: `Nonlinear and Heat Phenomena in Transient Wave Processes', Proc. of the All-Union Sympos., Tallin, 86-92 (in Russian).
  
• Slepyan, L.I., 1974. Growing Crack During Plane Deformation of an Elastic-Plastic Body. Mechanics of Solids, 9, 46-55.
  
• Slepyan, L.I., 1974. An Approximate Model of Crack Dynamics. In: `Dynamics of Continua', SO Ac. Sci. USSR, No 19, 101-110 (in Russian).
  
• Slepyan, L.I., 1974. Crack in a Layered Medium. In: `Selected Problems of Applied Mechanics', VINITI, Moscow, 657-664 (in Russian).
  
• Slepyan, L.I., 1975. On Fracture of a Reinforced Material. In: `Advances in Mechanics of Solids', Nauka, Moscow, 531-536 (in Russian).
  
• Slepyan, L.I., and Troyankina, L.V., 1976. Theory of Cracks - Basic Concepts and Results. Sudostroenie, Leningrad (in Russian).
  
• Slepyan, L.I., 1976. Crack Dynamics in an Elastic-Plastic Body. Mechanics of Solids, 11, 126-134.
  
• Slepyan, L.I., 1977. Models in the Theory of Brittle Fracture Waves. Mechanics of Solids, 12, 170-175.
  
• Slepyan, L.I., 1978. Calculation of the Size of the Crater Formed by a High-speed Impact, Sov. Mining Sci., 14, No. 5, 467-471.
  
• Slepyan, L.I., 1978. Mechanics of Cracks. In: `Mechanics of an Elastic Body', Polish Publ. House, Warsaw, 329-346 (in Russian).
  
• Slepyan, L.I., 1979. Betty Theorem and Orthogonality Relations for Eigenfunctions. Mechanics of Solids, 14, 74-77.
  
• Saraikin, V.A. and Slepyan, L.I., 1979. Plane Problem of the Dynamics of a Crack in an Elastic Solid. Mechanics of Solids, 14, 46-62.
  
• Slepyan, L.I., and Fishkov, A.L., 1980. Mixed Plane Problems for Nonuniform Movement of Boundary Conditions Alternation Point. In: `Contemporary Problems in Mechanics of a Continuum', LGU, No 13, 172-181 (in Russian).
  
• Slepyan, L.I., and Yakovlev, Yu.S., 1980. Integral Transforms in Non-steady-state Problems of Mechanics. Sudostroenie, Leningrad (in Russian).
  
• Slepyan, L.I., and Yakovlev, Yu.S., 1980. On the Construction of Integral Transform Formulas. In: `Contemporary Problems in Mechanics of a Continuum', LGU, No 13, 200-206 (in Russian).
  
• Slepyan, L.I. 1981/1990. Mechanics of Cracks. Sudostroenie, Leningrad (in Russian. 1st addition: 1981, 2nd addition: 1990).
  
• Slepyan, L.I., 1981. Dynamics of a crack in a lattice. Sov. Phys. Dokl., 26, 538-540.
  
• Slepyan, L.I., 1981. Crack Propagation in High-frequency Lattice Vibration. Sov. Phys. Dokl., 26, 900-902.
  
• Slepyan, L.I., and Fishkov, A.L., 1981. The Problem of the Propagation of a Cut at Transonic Velocity. Sov. Phys. Dokl., 26, 1192-1193.
  
• Slepyan, L.I., 1982. The Relation between the Solutions of Mixed Dynamic Problems for a Continuous Elastic Medium and a Lattice. Sov. Phys. Dokl., 27, 771-772.
  
• Slepyan, L.I., 1982. Antiplane Problem of a Crack in a Lattice. Mechanics of Solids, 17, 101-114.
  
• Slepyan, L.I., and Troyankina, L.V., 1983. On the Theory of Crack Grows Under Cyclic Loads. Mechanics of Solids, 18, 101-124.
  
• Slepyan, L.I., 1984. Dynamics of Brittle Fracture in Media with a Structure. Mechanics of Solids, 19, 114-122.
  
• Slepyan, L.I., and Vityaseva, E.V., 1984. An Approximate Method of Solving Elastic-Theory Problems for Large Deformations. Sov. Phys. Dokl., 29, 590-592.
  
• Kulakhmetova, Sh.A., Saraikin, V.A. and Slepyan, L.I., 1984. Plane Problem of a Crack in a Lattice. Mechanics of Solids, 19, 101-108.
  
• Lavrov, N.A. and Slepyan, L.I., 1984. Modified Two-Dimensional Problem for an Elastic Half-Space. Sov. Phys. Dokl., 29, 422-424.
  
• Lavrov, N.A. and Slepyan, L.I., 1984. Nonstationary Contact Problem for a Solid Body in an Elastic Half-Space. Sov. Mining Sci., 20, No 6, 425-429.
  
• Slepyan, L.I., and Troyankina, L.V., 1984. Fracture Wave in a Chain Structure. J. Appl. Mech. Techn. Phys., 25, No 6, 921-927.
  
• Slepyan, L.I., and Tchernich, K.F., 1985. Mechanics of Continua and Structures in the Works by the Academician V.V. Novozhilov. IPM Ac. Sci. USSR, LGU, LKI, preprint No. 247 (in Russian).
  
• Voityshek, Y.V. and Slepyan, L.I., 1985. Hydrodynamic Model of the Puncture of a Brittle Plate. Sov. Mining Sci., 21, No. 3, 231-235.
  
• Slepyan, L.I., 1985. Equations for the Dynamics of an Axisymmetric Cavity in an Ideal Compressible Fluid. Sov. Phys. Dokl., 30, 448-450.
  
• Slepyan, L.I., 1986. Dynamics of Brittle Fracture in Media with a Structure - Nonhomogeneous Problems. In: `Mathematical Methods of Mechanics of Solids', Nauka, Moscow, 143-149 (in Russian).
  
• Mikhailov, A.M. and Slepyan, L.I., 1986. Steady-State Motion of a Crack in a Unidirectional Composite. Mechanics of Solids, 21, 183-191.
  
• Slepyan, L.I., 1986. On Linearization of the Equations of the Deformations Compatibility. In: `Mechanics of a Deformable Body', Series `Strength and Visco-Elastoplasticity', Nauka, Moscow, 139-146 (in Russian).
  
• Kulakhmetova, Sh.A. and Slepyan, L.I., 1986. Crack Propagation in a Bed Consisting of Rigid Blocks with Elastic Interlayers. Phys. Solid Earth, 22, No. 12, 977-982.
  
• Drboglav, S.V., Slepyan, L.I., and Troyankina, L.V., 1986. Elastic Wave Propagation under Conditions of Discontinuity. In: `Problems of Nonlinear Acoustic Diagnosis', Tallin, 43-50 (in Russian).
  
• Slepyan, L.I., and Tsareva, O.V., 1987. Energy Flux for Zero Group Velocity of the Carrying Wave. Sov. Phys. Dokl., 32, 522-524.
  
• Novozhilov, V.V. and Slepyan, L.I., 1987. Some Problems and Achievements in Fracture Mechanics. Vestnik Ac. Sci. USSR, No 9, 96-111 (in Russian).
  
• Slepyan, L.I., and Troyankina, L.V., 1987. A Means to Define of Fracture Toughness from Results of Cyclic Testing. Problems of Strength, No. 10, 14-18 (in Russian).
  
• Slepyan, L.I., and Fadeev, V.M., 1988. Reflection, Refraction and Emission of Waves in a Piecewise-uniform Elastic Systems Interacting with a Fluid. Sov. Phys. Dokl., 33, 236-238.
  
• Slepyan, L.I., and Troyankina, L.V., 1988. Impact waves in a nonlinear chain. In: Gol'dstein R.V. (Ed) Plasticity and fracture of solids. Nauka, Moscow, 175-186 (in Russian).
  
• Slepyan, L.I., and Tsareva, O.V., 1988. Resonance Phenomena in Semi-infinite Systems. Sov. Phys. Dokl., 33, 547-549.
  
• Slepyan, L.I., and Sorokin, S.V., 1989. Boundary Integral Equations of Interaction between Thin-walled Structures and a Continuum. Sov. Phys. Dokl., 34, 573-574.
  
• Slepyan, L.I., Sorokin, S.V., 1989. Boundary Integral Equations in Hydroelasticity. Mechanics of Solids, 24, 159-169.
  
• Slepyan, L.I., 1989. Invariant Integrals and Mechanics of Fracture. Sov. Mining Sci., 25, 103-106.
  
• Slepyan, L.I., 1990. Modelling of Fracture of Sheet Ice. Mechanics of Solids, 25, 155-161.
  
• Slepyan, L.I., 1990. Dynamic Crack Propagation in Cylindrical Shells. In: `Problems of Modern Fracture Mechanics', Proc. LGU, No. 16, 165-171 (in Russian).
  
• Slepyan, L.I., and Sorokin, S.V., 1990. Boundary Integral Equations for Dynamics of Composite Thin-walled Structures that Interact with a Fluid. Mechanics of Solids, 25, 120-128.
  
• Slepyan, L.I., and Sorokin, S.V., 1990. Boundary Integral Equations Method in Problems of Interaction of Complex Elastic Structures and Acoustic Media - General Equations and Fundamental Solutions. LF IMASH AC. Sci. USSR, preprint No. 43, (in Russian with English Summary).
  
• Lavrov, N.A. and Slepyan, L.I, 1991. Brittle Fracture of Elastic Bodies under Compression. Sov. Phys. Dokl., 36, 344-346.
  
• Pushkin, A.V., Slepyan, L.I., and Zlatin, A.N., 1991. Dynamical Problems of Ice Cover Fracture. Int. J. Offshore and Polar Eng., 1, 212-219.
  
• Slepyan, L.I., and Sorokin, S.V., 1991. Boundary Integral Equations Method in Problems of Interaction of Complex Elastic Structures and Acoustic Media - Analysis of General Equations. IMASH Ac. Sci. of Russia, St.Petersburg, preprint No. 62 (in Russian with English Summary).
  
• Slepyan, L.I., 1992. Fracture dynamics and waves in periodical structures. In: Novozhilov's Collection, Sudostroenie, 87-97 (in Russian).
  
• Slepyan, L.I., and Engelbrecht, Yu.K., 1992. Resonant and Slow Waves in Initially Stressed Elastic Waveguide. Mechanics of Solids, 27.
  
• Slepyan, L.I., 1992. The Criterion of Maximum Dissipation Rate in Crack Dynamics. Sov. Phys. Dokl., 37, 259-261.
  
• Slepyan, L.I., 1993. Principle of Maximum Energy Dissipation Rate in Crack Dynamics. J. Mech. Phys. Solids, 41, No. 6, 1019-1034. Principle_1993.pdf
• Slepyan, L.I., 1993. Role of Microstructure in Fracture and Phase Transition Dynamics. Proc. of Int. Seminar `Mecamat'93: Micromechanics of Materials', EYROLLES, Paris, 246-257.
  
• Slepyan, L.I., 1993. Crack Dynamics in a Plate Under Bending. In: J.P. Dempsey, Z.P. Bazant, Y.D.S. Rajapakse and S.S. Sunder (Eds.). Ice Mechanics. The American Society of Mechanical Engineers, New York, 119-129.
  
• Slepyan, L.I., 1994. Impact and Penetration: Rigid and Extensible Structures. In: Structures under Shock and Impact III (Ed. by P.S. Bulson), Computational Mechanics Publications, Southampton Boston, 281-288.
  
• Ryvkin, S., Slepyan, L.I., and Banks-Sills, L., 1995. On the Scale Effect in the Thin Layer Delamination Problem. Int. J. Fracture, 71, 247-271. Delamination_1995.pdf
• Cherkaev, A. and Slepyan, L., 1995. Waiting Element Structures and Stability under Extension. Int. J. Damage Mechanics, 4, No. 1, 58-82. Waiting_element_1995.pdf
  
• Slepyan, L., Krylov, V. and Parnes, R., 1995. Solitary Waves in an Inextensible, Flexible, Helicoidal Fiber. Physical Review Letters, 74, No. 14, 2725-2728. Solitary_1995.pdf
  
• Slepyan, L. Dempsey, J. and Shekhtman, I., 1995. Asymptotic Solutions for Crack Closure in an Elastic Plate under Combined Extension and Bending. J. Mech. Phys. Solids, 43, No. 11, 1727-1749. Asymptotic_bending_1995.pdf
  
• Slepyan, l., Ryvkin, M. and Fuchs, M.B., 1995. Temperature Insensitive Curved Bimetal Elements. Acta Astronautica, 37, 95-103.
  
• Slepyan, L., Krylov, V. and Parnes, R., 1995. Solitary waves in a Helix. Proc. Estonian Acad. Sci., Phys. Math., 44, 29-39.
  
• Slepyan, L. Dempsey, J. and Shekhtman, I., 1995. Crack Closure and Related Problems. Ice Mechanics - 1995 - AMD-Vol. 207. (J.P. Dempsey and  Y.D.S. Rajapakse, Eds.). American Soc. Mech. Engng. (Transactions of ASME Joint Applied Mechanics and Materials Summer Meeting, Los Angeles, June 28-30, 1995), 81-96.
  
• Slepyan, L.I., Sorokin, S.V., 1995. Analysis of Structural--Acoustic Coupling Problems by a Two--Level Boundary Integral Method, Part 1: A General Formulation and Test Problems. J. of Sound and Vibration, 184(2), 195-211. Sorokin_1995.pdf
  
• Dempsey, J., Slepyan, L. and Shekhtman, I., 1995. Radial Cracking with Closure. Int. J. Fracture, 73, 233-261. Radial_cracking_1995.pdf
  
• Slepyan, L.I., and Ayzenberg, M.V., 1996. Dynamic plastic flow model of penetration. In: Proc. 25th Israel Conf. Mech. Engng., Haifa, Technion, 489-491.
  
• Slepyan, L.I., and Dempsey, J.P., 1997. Radial Crack Dynamics with Closure. In: IUTAM Symposium on Nonlinear Analysis of Fracture (Proceedings of the IUTAM Symposium held in Cambridge, U.K., 3-7 September 1995, Ed. by J.R. Willis), Kluwer Academic Publishers, 201-210.
  
• Slepyan, L.I., 1997. Wave Resistance in Crack Propagation: Lattices and Homogeneous Structured Media. In: Advances in Fracture Research (B. L. Karihaloo, Y. W. Mai, M. I. Ripley and R. O. Ritchie, Eds.), Vol. 6. High Strain Rate Fracture and Impact Mechanics, Pergamon, Oxford, 2731--2742.
  
• Slepyan, L.I., and Ayzenberg, M.V., 1997. Superplastic Protective Structures. In: Progress in Industrial Mathematics (M. Brons, M. P. Bendsoe and M. P. Sorensen, Eds.), Teubner, Stuttgart, 252-259.
  
• Chiskis, A., Parnes, R. and Slepyan, L., 1997. Nonlinear Behavior of Wavy Composite under Tension. J. Mech. Phys. Solids, 45, 1357-1392. Nonlinear_1997.pdf
  
• Krylov, V. and Slepyan, L., 1997. Binary Wave in a Helical Fiber. Physical Review B 55(21) (June 1),14067-14070. Binary_1997.pdf
  
• Slepyan, L.I., 1998. Some Basic Aspects of Crack Dynamics. In: Fracture. A Topical Encyclopedia of Current Knowledge (Ed. G. P. Cherepanov), Krieger Publishing Company, Malabar, Florida, 620-661.
  
• Krylov, V.I., Parnes, R. and Slepyan, L.I., 1998. Nonlinear Waves in an Inextensible Flexible Helix. Wave Motion, 27, 117-136. Wave_Motion_1998.pdf
  
• Slepyan, L., Krylov, V., and  Rosenau, Ph.,  1998. Solitary Waves in a Flexible, Arbitrary Elastic Helix. J. of Engineering Mechanics, 124(9), 966-970. Solitary_1998.pdf
  
• Dempsey, J. P., Shekhtman, I. I. and Slepyan, L. I., 1998. Closure of a Through Crack in a Plate under Bending. International Journal of Solids and Structures, 35, 4077-4098. Crack_plate_1998.pdf
  
• Pridor, A., Slepyan, L., Ayzenberg, M. and Shtemler, Y., 1998. Modeling Diverse Engineering Aspects of Penetration at the Institute for Industrial Mathematics, Beer-Sheva. Proc. 27th Conf. Mech. Engng., Technion, Haifa, 172-174.
  
• Ayzenberg, M. V. and Slepyan, L. I., 1999. Localization of Strain and the Melting Wave in High-Speed Penetration. In: IUTAM Symposium on Nonlinear Singularities in Deformation and Flow (D. Durban and J. R. A. Pearson, Eds.). Kluwer Ac. Publ., Dordrecht$-$Boston$-$London, 129-140. Melting_wave_1999.pdf
  
• Slepyan, L I., 1999. Energy Release in Fracture of Rate-Dependent Materials. In: IUTAM Symposium on Nonlinear Singularities in Deformation and Flow (D. Durban and J. R. A. Pearson, Eds.). Kluwer Ac. Publ., Dordrecht$-$Boston$-$London, 193-204.
  
• Slepyan, L.I., Ayzenberg, M.V. and Dempsey, J.P., 1999. A Lattice Model for Viscoelastic Fracture. Mech. Time-Dependent Materials, 3, 159-203. Viscoelastic_1999.pdf
  
• Slepyan, L., Krylov, V. and Parnes, R., 2000. Helical Inclusion in an Elastic Matrix. J. Mech. Phys. Solids,  48, 827-865. Helical_inclusion_2000.pdf
• Slepyan, L.I., 2000. Dynamic Factor in Impact, Phase Transition and Fracture. J. Mech. Phys. Solids, 48, 927-960. Dynamic_factor_2000.pdf
  
• Balk, A.M., Cherkaev, A.V. and  Slepyan L.I., 2001. Dynamics of chains with non-monotone stress-strain relations. I. Model and numerical experiments. J. Mech. Phys. Solids, 49, 131-148. Chain_I_2001.pdf
  
• Balk, A.M., Cherkaev, A.V. and  Slepyan L.I., 2001. Dynamics of chains with non-monotone stress-strain relations. II. Nonlinear waves and waves of phase transition. J. Mech. Phys. Solids, 49, 149-171. Chain_II_2001.pdf
  
• Slepyan, L.I., 2001. Feeding and dissipative waves in fracture and phase transition. I. Some 1D Structures and a Square-Cell Lattice. J. Mech. Phys. Solids, 49(3), 25-67. Lattice_I_2001.pdf
  
• Slepyan, L.I., 2001. Feeding and dissipative waves in fracture and phase transition. II. Phase-transition waves. J. Mech. Phys. Solids, 49(3), 69-106. Lattice_II_2001.pdf
  
• Slepyan, L.I., 2001. Feeding and dissipative waves in fracture and phase transition. III. Triangular-cell lattice. J. Mech. Phys. Solids 49(12), 2839-2875. Lattice_III_2001.pdf
  
• Slepyan, L.I., 2002. Models and Phenomena in Fracture Mechanics. Springer, Berlin.
  
• Slepyan, L.I., and Ayzenberg-Stepanenko, M.V., 2002. Some surprising phenomena in weak-bond fracture of a triangular lattice. J. Mech. Phys. Solids 50(8), 1591-1625. Surprise_2002.pdf
  
• Slepyan, L.I., and Ayzenberg-Stepanenko, M.V., 2004. Localized transition waves in bistable-bond lattices. J. Mech. Phys. Solids 52(7), 1447-1479. Transition_2004.pdf
  
• Cherkaev, A., Cherkaev, E. and Slepyan, L, 2005. Transition waves in bistable structures. I. Delocalization of damage. J. Mech. Phys. Solids 53(2), 383-405. Transition_I_2005.pdf
  
• Slepyan, L., Cherkaev, A. and Cherkaev, E, 2005.  Transition waves in bistable structures. II. Analytical solution: wave speed and energy dissipation. J. Mech. Phys. Solids 53(2), 407-436. Transition_II_2005.pdf
  
• Brand, M., Ryvkin, M., Einav, S., Slepyan, L., 2005. The Cardiocoil Stent-Artery Interaction. J. of Biomechanical Engineering 127, 337-344. Stent_2005.pdf
  
• Slepyan, L.I., Crack in a material-bond lattice, 2005. J. Mech. Phys. Solids 53(6), 1295-1313. Material_bond_2005.pdf
  
• Slepyan, L.I. and Ayzenberg-Stepanenko, M.V., 2006. Crack dynamics in nonlinear lattices. Int. J. Fracture 140 (1-4), 235-242. CDNL_2006.pdf
  
• Mishuris, G.S., Movchan, A.B., Slepyan, L.I., 2007. Waves and fracture in an inhomogeneous lattice structure. Waves in Random and Complex Media, 17, 409-428. DOI: 10.1080/17455030701459910Waves_in_random_2007.pdf
  
• Movchan, A.B., and Slepyan, L.I., 2007. Band gap Green's functions and localized oscillations. Proc. Roy. Soc., A, Vol. 463, No 2086, 2709-2727. DOI: 10.1098/rspa.2007.0007Royal_2007.pdf
  
• Mishuris, G.S., Movchan, A.B., Slepyan, L.I.,  2008. Dynamics of a bridged crack in a discrete lattice. The Quarterly Journal of Mechanics and Applied Mathematics, 61, 151-160. DOI:10.1093/qjmam/hbm030Bridge_2008.pdf
  
• Ayzenberg-Stepanenko, M., Slepyan, L.I. 2008. Resonant-Frequency Primitive Waveforms and Star Waves in Lattices. Journal of Sound and Vibration 313, 812–821. DOI: 10.1016/j.jsv.2007.11.047Star_waves_2008.pdf
  
• ishuris, G.S., Movchan, A.B., Slepyan, L.I., 2008. Dynamical extraction of a single chain from a discrete lattice. J. Mech. Phys. Solids 56, 487–495. DOI: 10.1016/j.jmps.2007.05.020; http://dx.doi.org/10.1016/j.jmps.2007.05.020 Dynamical_extraction_2008.pdf
  
• Mishuris, G.S., Movchan, A.B., Slepyan, L.I., 2009. Localised knife waves in a structured interface. J. Mech. Phys. Solids 57, 1958-1979. DOI: 10.1016/j.jmps.2009.08.004 Knife_2009.pdf
  
• Slepyan, L.I., 2010. Dynamic crack growth under Rayleigh wave. J. Mech. Phys. Solids 58, 636–655. http://dx.doi.org/10.1016/j.jmps.2010.03.003 CRW_2010.pdf
  
• Slepyan, L.I., Mishuris, G.S., Movchan, A.B., 2010. Crack in a lattice waveguide. Int J Fract, 162, 91–106 DOI 10.1007/s10704-009-9389-5 IUTAM Symposium on Dynamic Fracture (K. Ravi-Chandar and T.J. Vogler, Edrs), 2010, 91-106. Springer, Dordrecht. IJF_2010.pdf
  
• Slepyan, L.I., 2010. Wave radiation in lattice fracture. Acoustical Physics, 56, No.6, 962-971. DOI: 10.1134/S1063771010060217 Phys.Acoustic_2010.pdf
  
• Ryvkin, M., and Slepyan, L., 2010. Crack in a 2D beam lattice: analytical solutions for two bending modes. J. Mech. Phys. Solids 58(6), 902-917. BML_2010.pdf
  
• Slepyan, L.I., 2010. On discrete models in fracture mechanics. MTT (Mechanica Tverdogo Tela), No.6, 46-59 (in Russian) MTT_Novoghilov_2010.pdf
  
• Slepyan, L.I., and Brun, M., 2012. Driving forces in moving-contact problems of dynamic elasticity: indentation, wedging and free sliding. J. Mech. Phys. Solids 60, 1883?1906. DOI: 10.1016/j.jmps.2012.06.011. pdfs/D'Alembert.pdf
  
• Brun, M., Movchan, A., B., and Slepyan, L. I., 2013. Transition wave in a supported heavy beam. J. Mech. Phys. Solids 61 (10), 2067–2085. DOI: http://dx.doi.org/10.1016/ j.jmps.2013.05.004. BRIDGE-2013.pdf
  
• Slepyan, L.I., and Slepyan, V.I., 2014. Coupled mode parametric resonance in a vibrating screen model. Mechanical Systems and Signal Processing (JMSSP) 43, 295-304. DOI: 10.1016/j.ymssp.2013.10.001. Couple-mode-2014.pdf
  
• Mishuris, G.S., and Slepyan, L.I., 2014. Brittle fracture in a periodic structure with internal potential energy. Proc. R. Soc. A., 470:20130821 Published 19 February 2014 doi: 10.1098/rspa.2013.0821. Proc.R.Soc.A-2014.pdf
  
• Ayzenberg-Stepanenko, M.V., Mishuris, G.S., and Slepyan, L.I., 2014. Brittle fracture in a periodic structure with internal potential energy. Spontaneous crack propagation. Proc. R. Soc. A 2014 470, 20140121. SPONTANEOUS-2014.pdf
  
• Movchan, A.B., and Slepyan, L.I., 2014. Resonant waves in elastic structured media: dynamic homogenisation versus Green's functions. International Journal of Solids and Structures, in press. VECTOR-STAR-2014.pdf
  
• Brun, M., Giaccu, G.F., Movchan, A., B., and Slepyan, L. I., 2014. Transition wave in the collapse of the San Saba Bridge. Front. Mater. 1:12. doi: 10.3389/fmats.2014.00012. Bridge-Frontiers-2014.pdf
• Slepyan, L.I., Ayzenberg-Stepanenko, M.V., and Mishuris, G.S., 2015. Forerunning mode transition in a continuous waveguide. J. Mech. Phys. Solids 78, 32-45. http://dx.doi.org/10.1016/j.jmps.2015.01.015. FORERUNNING-2015.pdf
  
• Slepyan, L.I., 2015. On the energy partition in oscillations and waves. Proc. R. Soc. A 471: 20140838. DOI: 10.1098/rspa.2014.0838. ENERGY-PARTITION-2015.pdf
  
• Slepyan, L.I., 2016. Mechanical wave momentum from the first principles. Wave Motion 68, 283–290. Wave-momentum-published.pdf
  
• Nieves, M.J., Mishuris, G.S., Slepyan, L.I., 2016. Analysis of dynamic damage propagation in discrete beam structures. International Journal of Solids and Structures 97–98, 699–713. Mike-2016.pdf
  
• Slepyan, L.I. 2017. Correction to ‘On the energy partition in oscillations and waves’. Proc.R.Soc.A473:20160839. http://dx.doi.org/10.1098/rspa.2016.0839. (PDF)
  
• Berinskii, I.E., and Slepyan, L.I., 2017. How a dissimilar-chain system is splitting: Quasi-static, subsonic and supersonic regimes. JMPS 107C, 509-524. (PDF)
  
• Slepyan, L.I. 2017. Corrigendum to ‘‘Mechanical wave momentum from the first principles’’ [Wave Motion 68 (2016) 283–290]. https://authors.elsevier.com/a/1VoXvbaA9P-kk (PDF)
• Slepyan, L.I., 2018. Structural discontinuity as generalized strain and Fourier transform for discrete-continuous systems. Int. J. Engineering Sciences 130, 199-214.
  with the attached file under the link DISCONTINUITIES-PUBLISHED.pdf
  
• Mishuris GS, Movchan AB, Slepyan LI. 2019. Waves in elastic bodies with discrete and continuous dynamic microstructure. Phil. Trans. R. Soc. A 378: 20190313. Link
• Slepyan LI. 2019. About some projects with attendant circumstances. Phil. Trans. R. Soc. A 377: 20190097. Link
• Mishuris GS, Movchan AB, Slepyan LI. 2020. Localized waves at a line of dynamic inhomogeneities: General considerations and some speci?c problems. 
  J. Mech. Phys. Solids 138, 1-16, Link
• Slepyan, L.I., 2022. Phase shift in forced oscillations and waves. European Journal of Mechanics / A Solids 96, 104762. https://www.sciencedirect.com/science/article/pii/S0997753822001991
• Slepyan, L.I., 2022. Forced waves in a uniform waveguide with distributed and localized dynamic structures attached. International Journal of Engineering Science, 173, 103628. (PDF)
• Slepyan, L.I., and Movchan, A.B., 2022. An overview of elastic waveguides with dynamic sub-structures. Phil. Trans. R. Soc. A 380: 20210381. https://doi.org/10.1098/rsta.2021.0381

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