Abstract
Stresses and strains near a rapidly propagating crack tip are affected by the mass density of the material. This paper starts with a brief summary of analytical results for near-tip dynamic fields as predicted by linear elastic fracture mechanics. Next, exact expressions are derived for dynamic crack-line strains, for mode-III crack propagation in a nonlinear elastic material and in an elastic perfectly-plastic material. These expressions are valid on the crack line from the moving crack tip to the moving boundary with the region of linearly elastic deformation. For steady-state crack growth, a critical strain criterion is used to compute the relation between external load and crack tip speed. The required external load increases with crack-tip speed.
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References
J.D. Achenbach, in Mechanics Today, edited by S. Nemat-Nasser, 1, Pergamon Press (1974) 1.
L.B. Freund, in The Mechanics of Fracture, edited by F. Erdogan, ASME-AMD 19 (1975) 105.
M.F. Kanninen, in Numerical Methods in Fracture Mechanics, edited by A.R. Luxmoore and D.R.J. Owen, University College of Swansea Press (1978) 612.
J.D. Achenbach and Z.P. Bazant, Journal of Applied Mechanics 42 (1975) 183.
J.D. Achenbach and V. Dunayevsky, Journal of the Mechanics and Physics of Solids 32 (1984) 89.
J.D. Achenbach and Z.L. Li, Engineering Fracture Mechanics (1985), in press.
J.D. Achenbach and N. Nishimura, Journal of Applied Mechanics, to appear.
L.I. Slepyan, Izv. Nauk SSSR, Mekhanika Tverdogo Tela 12 (1976) 144.
J.D. Achenbach and V. Dunayevsky, Journal of the Mechanics and Physics of Solids 29 (1981) 283.
V. Dunayevsky and J.D. Achenbach, International Journal of Solids and Structures 18 (1982) 1.
L.B. Freund and A.S. Douglas, Journal of the Mechanics and Physics of Solids 30 (1982) 59.
F.A. McClintock and G.R. Irwin, in Fracture Toughness and Testing and its Applications, ASTM-STP 381 (1965).
J.R. Rice, in Fracture II, edited by H. Liebowitz, Academic Press (1968) 191.
J.D. Achenbach and Z.L. Li, in Fundamentals of Deformation and Fracture, edited by B.A. Bilby and K.J. Miller, Cambridge University Press, to appear.
Y.C. Gao and S. Nemat-Nasser, Mechanics of Materials 2 (1983) 47.
P.S. Lam and L.B. Freund, Journal of the Mechanics and Physics of Solids, to appear.
J.D. Achenbach and M.F. Kanninen, in Fracture Mechanics, edited by N. Perrone et al., University of Virginia Press (1978) 649.
J.D. Achenbach, M.F. Kanninen and C.H. Popelar, Journal of the Mechanics and Physics of Solids 29 (1981) 211.
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Achenbach, J.D., Li, Z.L. & Nishimura, N. Dynamic fields generated by rapid crack growth. Int J Fract 27, 215–227 (1985). https://doi.org/10.1007/BF00017969
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DOI: https://doi.org/10.1007/BF00017969