Abstract
Influence of layer thickness on the stress distribution in the vicinity of a crack tip is examined, taking into account the fact that the conventional stress intensity factor concept becomes invalid if the thickness of the layer is not much more than the size of the fracture process zone. An eigen-problem is considered which is characterized by two asymptotes. The first is a near one; it is formed in a small vicinity of the crack tip in the layer thickness scale. The second asymptote is a far one in the same scale. The regions of validity of these asymptotes are determined and shown to depend upon layer thickness, material parameters and crack tip speed. The complete stress distribution in front of the crack is obtained, as well. Some conclusions are made concerning the stress distribution and energy release rate for the general problem. Mode III crack propagation is considered in detail.
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References
G.I. Barenblatt, Journal of Applied Mathematics and Mechanics 23 (1959) 434–444.
D.S. Dugdale, Journal of the Mechanics and Physics of Solids 8 (1960) 100–104.
L.B. Freund, Dynamic Fracture Mechanics, Cambridge University Press, Cambridge (1990).
Y.J. Huang and D.. Gross International Journal of Fracture 65, No. 2 (1994) 161–171.
J.W. Hutchinson, in Metal Ceramic Interfaces, M. Ruhle, A.G. Evans, M.F. Ashby and J.P. Hirth, (eds.) Pergamon Press, Oxford (1990) 295–301.
J.W. Hutchinson and Z. Suo, in Advances in Applied Mechanics, Vol. 29, J.W. Hutchinson and T.Y. Wu, (eds.), Academic Press, New York (1990) 63–191.
F.A. McClintock, Journal of Applied Mechanics 25 (1958) 582–588.
H. Neuber, Kerbspanungslehre, Springer, Berlin (1937).
V.V. Novozilov, Journal of Applied Mathematics and Mechanics 33 (1969) 201–210.
J.R. Rice, in Proceedings, International Conference on Fracture, Sendai, Japan (1965) 283–308.
J.R. Rice, Journal of Applied Mechanics 55 (1988) 98–103.
M. Ryvkin and L. Banks-Sills, International Journal of Solids and Structures 30 (1993) 483–498.
M. Ryvkin and L. Banks-Sills, International Journal of Solids and Structures 31 (1994) 551–566.
L. Schovanec and J.R. Walton, International Journal of Fracture 41 (1989) 133–155.
G.C. Sih and E.P. Chen, Mechanics of Fracture 6, Martinus Nijhoff, The Hague (1981) 102–108.
L. Slepyan, Mechanics of Solids 19, No. 6 (1984) 114–122.
L. Slepyan, Mechanics of Cracks. Sudostroenie, Leningrad (1990) (in Russian).
Y. Xu, J.A. Blume and C.F. Shih, International Journal of Fracture 63 (1993) 369–381.
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Parts of this work were carried out in The Eda and Jaime David Dreszer Fracture Mechanics Laboratory.
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Ryvkin, M., Slepyan, L. & Banks-Sills, L. On the scale effect in the thin layer delamination problem. Int J Fract 71, 247–271 (1995). https://doi.org/10.1007/BF00033721
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DOI: https://doi.org/10.1007/BF00033721