Dynamic factor in impact, phase transition and fracture

Journal of the Mechanics and Physics of Solids

Volumn 48, Issue 5, 2000, Pages 927-960

  Slepyan, L I ^a  

^a TEL AVIV UNIVERSITY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

CRACK PROPAGATION; MATHEMATICAL TRANSFORMATIONS; PHASE TRANSITIONS; VISCOELASTICITY;

DYNAMIC-OVERSHOOT-RESPONSE (DOR); INTEGRAL TRANSFORMS; STATIC-OVERSHOOT-RESPONSE (SAR);

FRACTURE MECHANICS;

EID: 0343618407     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-5096(99)00061-7     Document Type: Article

References (19)

1. Eatwell G.P., Willis J.R. The excitation of a fluid-loaded plate stiffened by a semi-infinite array of beams. IMA J. Appl. Mech. 29:(3):1982;247-270.
2. Fineberg J., Gross S.P., Marder M., Swinney H.L. Instability in dynamic fracture. Phys. Rev. Lett. 67:(4):1991;457-460.
3. Fineberg J., Gross S.P., Marder M., Swinney H.L. Instability in the propagation of fast cracks. Phys. Rev. B45:(10):1992;5146-5154.
4. Kulakhmetova ShA., Saraikin V.A., Slepyan L.I. Plane problem of a crack in a lattice. Mechanics of Solids. 19:(3):1984;101-108.
5. Marder M. New dynamical equation for cracks. Phys. Rev. Lett. 66:1991;2484-2487.
6. Marder M., Gross S. Origin of crack tip instabilities. J. Mech. Phys. Solids. 43:1995;1-48.
7. Marder M., Xiangmin Liu. Instability in lattice fracture. Phys. Rev. Lett. 71:(15):1993;2417-2420.
8. Slepyan L.I. Dynamics of a crack in a lattice. Sov. Phys. Dokl. 26:1981;538-540.
9. Slepyan L.I. Crack propagation in high-frequency lattice vibrations. Sov. Phys. Dokl. 26:(9):1981;900-902.
10. Slepyan L.I. Antiplane problem of a crack in a lattice. Mechanics of Solids. 17:(5):1982;101-114.
11. Slepyan L.I. The relation between the solutions of mixed dynamic problems for a continuous elastic medium and a lattice. Sov. Phys. Dokl. 27:(9):1982;771-772.
12. Slepyan L.I. Dynamics of brittle fracture in media with a structure. Mechanics of Solids. 19:(6):1984;114-122.
13. Slepyan L.I. Dynamics of brittle fracture in media with a structure - nonhomogeneous problems. Mathematical Methods of Mechanics of Solids. 1986;143-149 Nauka, Moscow. (in Russian).
14. Slepyan L.I. Mechanics of Cracks. 2nd ed. 1990;Sudostroenie, Leningrad. 1st ed.: 1981 - in Russian.
15. Slepyan L.I. Role of microstructure in fracture and phase transition dynamics. Proceedings of the International Seminar 'Mecamat'93: Micromechanics of Materials', Eyrolles, Paris. 1993;246-257.
16. Slepyan L.I. Some basic aspects of crack dynamics. Cherepanov G. Fracture: A Topical Encyclopedia of Current Knowledge Dedicated to Alan Arnold Griffith. 1998;620-661 Krieger, Melbourne, USA.
17. Slepyan L.I., Troyankina L.V. Fracture wave in a chain structure. J. Appl. Mech. Techn. Phys. 2596:1984;921-927.
18. Slepyan L.I., Troyankina L.V. Shock waves in nonlinear chain. Strength and Visco-plasticity. 1988;301-305 Nauka. (in Russian).
19. Slepyan, L.I., Ayzenberg-Stepanenko, M.V., Dempsey, J.P., 1999. A lattice model for viscoelastic fracture. Mechanics of Time-Dependent Materials, in press.