Abstract
My purpose in this presentation is to summarize and interpret recent theoretical work by Emily Ching, Hiizu Nakanishi and myself on dynamic stability of mode I fracture [1]. Our investigation has been motivated by the experiments of Fineberg et al. [5, 6] in which it appears that mode I cracks in a variety of materials encounter some kind of oscillatory instability at velocities appreciably below the Rayleigh speed. The experiments indicate that the instability involves out-of-plane deformations; that is, the cracks are unstable against deflection or branching away from their directions of motion. We find that a broad class of models of dynamic fracture exhibits this kind of instability. Several features of our results appear to contradict conventional assumptions in this field.
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References
E.S.C. Ching, J.S. Langer, and H. Nakanishi, preprint.
E.S.C. Ching, Phys. Rev. E 49, 3382 (1994).
B. Cotterell and J.R. Rice, Int. J. Fracture 16, 155 (1980).
L. B. Freund, Dynamic Fracture Mechanics( Cambridge University Press, New York, 1990 ).
J. Fineberg, S.P. Gross, M. Marder, and H.L. Swinney, Phys. Rev. Lett. 67, 457, (1991); Phys. Rev. B 45, 5146 (1992).
S.P. Gross, J. Fineberg, M. Marder, W.D. McCormick, and H. Swinney, Phys. Rev. Lett. 71, 3162 (1993).
E. Yoffe, Phil. Mag. 42, 739 (1951).
G.I. Barenblatt, Adv. Appl. Mech. 7, 56 (1962).
D.S. Dugdale, J. Mech. Phys. Solids 8, 100 (1960).
J.R. Rice,“Mathematical Analysis in the Mechanics of Fracture”, in Fracture: An Advanced Treatise, Vol. 2, Chap. 3, pp. 191–311, ed. H. Liebowitz (Academic Press, 1968 ).
M. Marder, Phys. Rev. Lett. 74, 4547 (1995).
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© 1997 Springer Science+Business Media Dordrecht
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Langer, J.S. (1997). Instabilities in Dynamic Fracture. In: Willis, J.R. (eds) IUTAM Symposium on Nonlinear Analysis of Fracture. Solid Mechanics and its Applications, vol 49. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5642-4_18
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DOI: https://doi.org/10.1007/978-94-011-5642-4_18
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