Abstract
This paper presents an analytical method for determining the three-dimensional stress fields in plates with a through-the-thickness crack, especially under elastic-plastic conditions. Using the generalised plane strain theory in conjunction with the deformation theories of plasticity, exact solutions are obtained for the effects of plate thickness on the crack-tip plastic zone size and a plastic constraint factor, which is shown to correlate well with published finite element solutions.
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References
Broek, D. and Schijve, J. (1966) The influence of sheet thickness on crack propagation. Aircraft Engng, Vol.38, 31-33.
Guo, W., Wang, C. H. and Rose, L. R. F. (1999) On the influence of cross sectional thickness on fatigue crack growth, Fatigue and Fracture of Engineering Materials and Technology, Vol.22, 437-444.
Irwin, G. R. (1958) Fracture, Handuch der Physik VI, pp. 551-590, Flugge Ed., Springer.
Kane, T.R. and Mindlin, R.D. (1956) High Frequency extensional vibrations of plates, Journal of Applied Mechanics, Trans., ASME, Vol.23, 277-283.
Kotousov, A. and Wang, C. T. (2001) Three-dimensional fields in an elastic plate with a notch, Int. J. Solids and Structures (in press).
Kown, S. W. and Sun, C. T. (2000) Characteristics of three-dimensional fields in plates with a through-the-thickness crack, Int. J. Fracture, Vol.104, 291-315.
Newman, J. C. Jr., Crews, J. H., Biglew, C. A., and Dawicke, D. S. (1995) Variations of a global constraint factor in cracked bodies under tension and bending loading, Constraint Effects in Fracture Theory and Applications: Second Volume, ASTM STP 1244, M. Kirk and A. Baker eds., American Society for Testing and Materials, Philadelphia.
Newman J. C. Jr. (1992) Effects of constraint on crack growth under aircraft spectrum loading, Fatigue of Aircraft Materials, Proc. of the Specialist' Conf. Dedicated to the 65th birthday of J. Schijve, Edit by A. Beukers, Th. de Jong, J. Sinke, A. Vlot and L. B. Vogelesang, Delft University Press, 83-109.
Yang, W. and Freud, L. B. (1985) Transverse shear effects for through-cracks in an elastic plate, International Journal of Solids and Structures, Vol. 21, 977-994.
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Kotousov, A., Wang, C.H. Effect of Plate Thickness on Crack-Tip Plasticity. International Journal of Fracture 111, 53–58 (2001). https://doi.org/10.1023/A:1012428928510
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DOI: https://doi.org/10.1023/A:1012428928510