Abstract
The Paris-Erdogan equation can predict fatigue crack propagation only under particular conditions. It fails when R≠0 or under variable amplitude loads or with small cracks and cannot predict overload retardation etc. in all these cases fatigue crack propagation depends on what is actually happening at the crack tip in the plastic zone. Therefore, the study of the plastic zone behavior is fundamental to address the fatigue crack propagation issue and adjourn the Paris-Erdogan equation.
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References
Griffith, A.A.: The phenomena of rupture and flow in solids. Roy. Soc. Trans., Ser A 221, 163–198 (1920)
Milella, P.P.: A fatigue crack growth theory based upon energy considerations, pp. 484–508. IAEA Specialists’ Meeting on Subcritical Crack Growth, Freiburg, Federal Republic of Germany (1981)
Milella, P.P.: A fatigue crack growth theory based upon energy considerations. further development on small crack behavior and R ratio effect. Fatigue and fracture mechanics, Twenty-Ninth Volume. ASTM-STP 1332 (1999)
Wessel, E.T., Clarck, W.G. Jr.: Fracture prevention procedure for heavy section components. ASM conference on fracture control (1970)
Vecchio, R.S., Crompton, J.S., Hertzberg, R.W.: The influence of specimen geometry on near threshold fatigue crack growth. Fatigue Fract. Engng. Mater. Struct. 10(4), 333–342 (1987)
Amzallag, C., Rabbe, P., Bathias, C., Benoit, D., Truchon, M.: Influence of variou parameters on the determination of the fatigue crack arrest threshold. ASTM STP , American Society for Testing and Materials, 738, 29–44 (1981)
Ogawa, T., Tokaji, K., Ohya, K.: The effect of microstructure and fracture surface roughness on fatigue crack propagation in a Ti-6Al-4 V alloy. Fatigue Fract. Engng. Mater. Struct. 16(9), 973–982 (1993)
Basic Fracture Mechanics for Nuclear Applications. Westinghouse Course on Fracture Mechanics to ENEA-ENEL, Rome, Westinghouse data from W.G. Clark Jr., Italy, 6–8 March (1978)
Tanaka, K.: Mechanics and micromechanics of fatigue crack propagation. Am. Soc. Test Mater, ASTM STP 1020, 151–183 (1989)
Rolfe, S.T., Barsom, J.M.: Fracture and Fatigue Control in Structure. Prentice-Hall, Englewood Cliff (1977)
Klesnil, M., Lukas, P.: Effects of stress cycle asymmetry on fatigue crack growth. Mater. Sci. Eng. 9, 231–240 (1972)
Hopkinns, S.W., Rau Jr, C.A.: Prediction of structural crack growth behavior under fatigue loading. ASTM STP 738, 255–270 (1981)
Walker, E.K.: The Effect of Stress Ratio During Crack propagation and fatigue for 2024-T3 and 7075-T6 Aluminum. ASTM STP, American Society for Testing and Materials, Philadelphia, 462 (1970)
Crooker. T.W.: Effect of tension-compression cycling on fatigue crack growth in high-strength alloy. Naval Research Laboratory Report 7220, Washington DC (1971)
Crooker, T.W., Krauser, D.J.: The Influence of Stress Ratio and Stress Level on Fatigue Crack growth Rates in 140-Ksi HY Steel. Naval Research Laboratory Report, Washington DC (1972)
Miller, M.S., Gallagher, J.P.: An analysis of several fatigue crack growth rate (FCGR) description. ASTM STP 738, 205–251 (1981)
Elber, W.: Fatigue crack closure under cyclic tension. Eng. Fract. Mech. 2, 37–45 (1970)
Gomez, M.P., Ernst, H., Vazquez, J.: On the validity of erber, s results on fatigue crack closure for 2024–T3 aluminum. Int. J. Fract. 12, 178–180 (1976)
Clerivet, A., Bathias, C.: Study of crack tip opening under cyclic loading taking into account the environment and R s. Eng. Fract. Mech. 12, 599–611 (1979)
Schijve, J.: Some formulas for the crack opening stress level. Eng. Fract. Mech. 14, 461–465 (1981)
Castro, D.E., Marci, G., Munz, D.: A generalized concept of a fatigue threshold. Fatigue Fract. Eng. Mater. Struct. 10(4), 305–314 (1987)
Zhang, S., Marissen, R., Shulte, K., Trautmann, K.K., Nowak, H., Schijve, J.: Crack propagation studies on Al 7475 on the basis of constant amplitude and selective variable amplitude loading histories. Fatigue Fract. Eng. Mater. Struct. 10(4), 315–332 (1987)
Newman, J.C. Jr.: American Society for Testing and Materials, ASTM STP , Methods and Models for Predicting Fatigue Crack Growth under Random Loading,748, 55–84 (1981)
Newman Jr, J.C.: Prediction of fatigue crack growth under variable-amplitude using a closure model. Am. Soc. Test. Mater., ASTM STP 761, 255–277 (1982)
Suresh, S., Ritchie, R.O.: Propagation of short fatigue cracks. Int. Metall. Rev. 29, 455–476 (1984)
Rice, J.R.: The mechanism of crack tip deformation and extension by fatigue. fatigue crack propagation. ASTM STP 415, 247–309 (1967)
Hardrath, H.F., McEvily, A.T.: Engineering aspects of fatigue crack propagation. proceeding of crack propagation symposium 1, Cranfield, England (1961)
Schijve, J.: Significance of Fatigue Cracks in Micro-Range and Macro-Range. Fatigue Crack Propagation. ASTM STP, 415 (1967)
McMillan, J.C., Pelloux, R.M.N.: Fatigue crack propagation under program and random loads. Fatigue crack propagation. ASTM STP, 415 (1967)
Von Euw, E.F.J., Hertzberg, R.W., Roberts, R.: Delay effects in fatigue crack propagation. ASTM STP 513, 230–259 (1972)
Wheeler, O.E.: Spectrum loading and crack growth. General dynamic report FZM 5602, Fort Worth (1970)
Wheeler, O.E.: Spectrum loading and crack growth. J. Basic Eng. 44, 181–186 (1972)
Schijve, J.: Fatigue Crack Propagation in light Alloy Sheet Material and Structures. Pergamon Press, Oxford (1961)
Cotterill, P.J., Knott, J.F.: Overload retardation of fatigue crack growth in 9 %Cr 1 %Mo steel at elevated temperatures. Fatigue Fract. Eng. Mater. Struct. 16(1), 53–70 (1993)
Elber, W.: The significance of fatigue crack closure. ASTM STP 486, 230–242 (1971)
Bernard, P.J., Lindley, T.C., Richard, C.E.: Mechanisms of overload retardation during fatigue crack propagation. ASTM STP 595, 78–97 (1976)
Schijve, J.: The accumulation of fatigue damage in aircraft materials and structures. AGARD conference, symposium on random load fatigue, 118, 3–82 (1972)
Kim, S., Tai, W.: Retardation and arrest of fatigue crack growth in AISI 4340 steel by introducing rest periods and overload. Fatigue Fract. Eng. Mater. Struct. 15(6), 519–530 (1992)
Pearson, S.: Initiation of fatigue cracks in commercial aluminum alloys and the subsequent propagation of very short cracks. Eng. Fract. Mech. 7, 235 (1975)
Kitagawa, H., Takahashi, S.: Applicability of fracture mechanics to very small cracks or the cracks in the very early stage. Proceedings of the 2nd International Conference Mechanical Behavior of Materials, p. 627, Boston (1976)
Lankford, J.: Initiation and early growth of fatigue cracks in high strength steel. Eng. Fract. Mech. 9, 617–624 (1977)
Taylor, D., Knott, J.F.: Fatigue crack propagation behaviour of short cracks; the effect of microstructure. Fatigue Eng. Mater. Struct. 4, 147–155 (1981)
Brown, C.W., Hicks, M.A.: A study of short fatigue crack growth behavior in titanium alloy IMI 685. Fatigue Eng. Mater. Struct. 6, 46–67 (1983)
Clement, P., Angeli, J.P., Pineau, A.: Short crack behavior in nodular cast iron. Fatigue Eng. Mater. Struct. 7(4), 251–265 (1984)
Yokobori, T., Kuribayashi, H., Kawagishi, M., Takeuchi, N.: Study of initiation and propagation of fatigue cracks in tempered martensitic high strength steel by plastic-replication method and scanning microscope. Rep. of the Research Inst. For Strength and Fracture of the Materials, Tohoku University, Sendai, Japan, pp. 1–23 (1971)
Lankford, J.: Initiation and early growth of fatigue cracks in high strength steels. Eng. Fract. Mech. 9, 617–624 (1977)
Lankford, J., Cook, T.S., Sheldon, G.P.: Fatigue micro cracks growth in nickel base superalloy. Int. J. Fract. 17, 143–155 (1981)
Lankford, J.: The influence of microstructure on the growth of small fatigue cracks. Fatigue Fract. Eng. Mater. Struct. 8(2), 161–175 (1985)
Lankford, J.: The effect of the environment on the growth of small fatigue cracks. Fatigue Eng. Mater. Struct. 6, 15–31 (1983)
Barsom, J.M.: Fatigue crack growth under variable amplitude loading in ASTM A514 grade B steel. ASTM STP 536, 147–167 (1973)
Wei, R.P., Shih, T.T.: Delay in fatigue crack growth. Int. J. Fract. 10(1), 77–85 (1974)
Wheeler, O.E.: Spectrum loading and crack growth. genaral dynamics report FZM 5602 (1970)
Willemborg, J., Engle, R.M., Wood, H.A.: A crack growth retardation model using an effected stress concept. technical memorandum 71-1-FBR, Air force flight dynamics laboratory (1971)
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Milella, P.P. (2013). Crack Tip Plastic Zone Effect on Fatigue Crack Propagation. In: Fatigue and Corrosion in Metals. Springer, Milano. https://doi.org/10.1007/978-88-470-2336-9_11
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DOI: https://doi.org/10.1007/978-88-470-2336-9_11
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