Abstract
Nonlinear dynamics of crack propagation are investigated experimentally and theoretically with the goal of clarifying the nature of limiting crack velocity, the transition from steady state to branching regimes of crack dynamics, and the dynamics of crack arrest. The theoretical explanation of limiting steady-state crack velocity and the transition to a branching regime was proposed due to the study of collective behavior of a microcrack ensemble at the crack tip area. The experimental study of crack dynamics was carried out in a preloaded plate PMMA specimen using the high-speed camera coupled with the photo-elasticity method, the point stress recording with a laser system, and the failure surface roughness measurement.
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References
Barenblatt, G.T. (1962). Advances in Applied Mechanics 7, 55.
Boudet, J.F., Ciliberto, S. and Steinberg, V. (1996). J. de Physique 6, 1993.
Fineberg, J., Gross, S., Marder, M. and Swinney, H. (1991). Phys. Rev. Lett. 67, 141.
Fraenkel, Ya.I. (1952). Journal of Technical Physics 22(11), 1857 (in Russian).
Freund, L.B. (1990). Dynamic Fracture Mechanics. Cambridge University Press, Cambridge, England.
Griffith, A.A. (1921). Philos. Trans. Roy. Soc. London Ser. A. 221, 163.
Irwin, G.R. (1957). Journal of Applied Mechanics 24, 361.
Kurdyumov, S.P. (1988). In: Dissipative Structures and Chaos in Non-Linear Space, Utopia, Singapure, 1, pp. 431-459.
Mott, N.F. (1948). Engineering 165, 16.
Naimark, O.B. (1997). In: Proceedings of the IUTAM Symposium on Nonlinear Analysis of Fracture (edited by J.R. Willis). Kluwer Academic Publishers, Dordrecht, pp. 285-298.
Naimark, O.B. (1997). In: Proceedings of IX Int. Conf. Fracture, (edited by B. Karihalloo). Sydney, Pergamon, 6, pp. 2795-2806.
Naimark, O.B. (1998). JETP Letters 67(9), 751.
Naimark, O.B., Davydova, M.M. and Plekhov, O.A. (1998). In: Proceedings of NATO Workshop 'Probamat — 21 Century', (edited by G. Frantziskonis). Kluwer, pp. 127-142.
Naimark, O.B. (2000). In: Advanced in Mechanical Behavior, Plasticity and Damage, v.1, pp. 15-28, (edited by D. Miannay, P. Costa, D. Francois and A. Pineau). Elsevier.
Naimark, O.B., Davydova, M.M. and Plekhov, O.A. (2000). Computers and Structures 76, 67.
Rice, J.R. (1968). Journal of Applied Mechanics 35, 37.
Sharon, E., Gross, S.P. and Fineberg, J. (1995). Phys. Rev. Lett. 74, 5097.
Sharon, E., Gross, S.P. and Fineberg, J. (1996). Phys. Rev. Lett. 76, 2117.
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Naimark, O., Uvarov, S. Nonlinear crack dynamics and scaling aspects of fracture (experimental and theoretical study). International Journal of Fracture 128, 285–292 (2004). https://doi.org/10.1023/B:FRAC.0000040992.50470.8a
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DOI: https://doi.org/10.1023/B:FRAC.0000040992.50470.8a