Abstract
A method based upon the Dugdale model is proposed to calculate the plastic zone size (pzs) at the crack tip of a Mode I crack emanating from notch of arbitrary shape. To provide a generalized method, a crack at the notch root was modeled as an edge crack in a semi-infinite plate subjected to the same stress as that generated near the notch root in the absence of a crack. The calculated pzs ahead of the tip of the crack emanating from circular and elliptical holes was in reasonable agreement with the accurate values reported in the literature. By making use of the calculated pzs , the near-threshold behavior of crack emanating from notch under cyclic loading condition was simulated by using McEvily’s fatigue crack growth equation. Subsequent comparison with the available experimental data revealed that the proper consideration of plastic zone size can capture the phenomena and trends observed in the experimental data with reasonable accuracy.
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References
G.R. Irwin, Naval research laboratory report No. 5486, Naval Research Laboratory, Washington, D.C. (1960)
C.K.H. Dharan, B.S. Kang, I. Finnie, Finnie’s Notes on Fracture Mechanics (Springer, New York, 2016)
D.S. Dugdale, Yielding of steel containing slits. J. Mech. Phys. Solids 8, 100–104 (1960)
H. Nisitani, Y. Murakami, Interaction of elasto-plastic cracks subjected to a uniform tensile stress in an infinite or a semi-infinite plate. Proc. Int. Conf. Mech. Behav. Mater. 1, 346–356 (1972)
T. Rich, R. Roberts, Plastic enclave sizes for internal cracks emanating from circular cavities within elastic plates. Eng. Fract. Mech. 1, 167–173 (1968)
A.J. McEvily, D. Eifler, E. Macherauch, An analysis of the growth of short fatigue cracks. Eng. Fract. Mech. 40, 571–584 (1991)
S.P. Timoshenko, J.N. Goodier, Theory of Elasticity (McGraw-Hill International, New York, 1982)
R.J. Hartranft, G.C. Sih, Alternating method applied to edge and surface crack problems. Mech. Fract. 1, 179–238 (1973)
Y. Murakami, Theory of Elasticity and Stress Concentration (Wiley, West Sussex, 2017)
H. Nisitani, Elastic-plastic stress in a semi-infinite plate having an elliptical arc notch with an edge crack under tension or longitudinal shear, Proc. Int. Cong. Fract. 2, 1–513 (1973)
Y. Murakami et al., Stress Intensity Handbook (Pergamon Press, Oxford, 1987)
G.R. Irwin, First Symposium on Naval Structure and Mechanics (Pergamon Press, Oxford, 1960), pp. 557–594
H. Kitagawa, S. Takahashi, Applicability of fracture mechanics to very small cracks or the cracks in the early stage. Proc. Int. Conf. Mech. Behav. Mater. 627–631 (1976)
M.H. El Haddad, T.H. Topper, K.N. Smith, Prediction of non-propagating cracks. Eng. Fract. Mech. 28, 573–584 (1979)
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Endo, M., Yanase, K. (2018). Analysis of the Plastic Zone Size Ahead of the Crack Tip in Notched Components and Its Application to Fatigue Problems. In: Prakash, R., Jayaram, V., Saxena, A. (eds) Advances in Structural Integrity. Springer, Singapore. https://doi.org/10.1007/978-981-10-7197-3_50
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DOI: https://doi.org/10.1007/978-981-10-7197-3_50
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