Abstract
Fatigue crack growth is presently being treated almost exclusively within the theoretical framework of fracture mechanics. This trend is following the pioneering work of Paris and his co-workers, which date back some 25 years (1). However, at that time several other parameters than K, the stress intensity factor, were being used to correlate fatigue crack growth rates and it is rather interesting to recall that the original paper (1) was rejected by three leading journals, whose reviewers felt that “it is not possible that an elastic parameter such as K can account for the self-evident plasticity effects in correlating fatigue crack growth rates” (2).
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References
Paris, P.C., Gomez, M. and Anderson, W.E., “A Rational Analytic Theory of Fatigue”, Trend in Engineering, 13, No. 1, Univ. of Washington, U.S.A., 1961.
Paris P.C., “Twenty Years of Reflection on Questions involving Fatigue Crack Growth. Part I: Historical Observations and Perspectives”, Fatigue Thresholds, Eds. J. Bäcklund, A.F. Blom and C.J. Beevers, EMAS Ltd., Warley, U.K., Vol. 1, pp. 3–10, 1982.
Paris, P.C. and Erdogan, F., “A Critical Analysis of Crack Propagation Laws”, J. of Basic Engng, 85, pp. 528–534, 1963.
Forsyth, P.J.E., “The Physical Basis of Metal Fatigue”, Clarendon Press, Oxford, U.K., 1969.
Ritchie, R.O., “Near-threshold Fatigue Crack Propagation in Steels”, Int. Met. Rev. 20, pp. 205–230, 1979.
Bäcklund, J., Blom, A.F. and Beevers, C.J., Eds. “Fatigue Thresholds”, 2 volumes, EMAS Ltd., Warley, U.K., 1982.
Davidson, D.L. and Suresh, S., Eds., “Fatigue Crack Growth Threshold Concepts”, TMS-AIME, Warrendale, PA, U.S.A., 1984.
Saxena, A., Hudak, Jr., S.J. and Jouris, G.M., “A Three Component Model for Representing Wide Range Fatigue Crack Growth Data”, Eng Frac. Mech., 12, pp. 103–115, 1979.
Miller, M.S. and Gallagher, J.P., “An Analysis of Several Fatigue Crack Growth Rate (FCGR) Descriptions”, Fatigue Crack Growth Measurement and Data Analysis, ASTM STP 738, S.J. Hudak, Jr. and R.J. Bucci, Eds., American Society for Testing and Materials, Philadelphia, PA, U.S.A., pp. 205–251, 1981.
Rice, J.R., “Mechanics of Crack Tip Deformation and Extension by Fatigue”, Fatigue Crack Propagation, ASTM STP 415, American Society for Testing and Materials, Philadelphia, PA, U.S.A., pp. 247–309, 1967.
Laird, C, “The Influence of Metallurgical Structure on the Mechanisms of Fatigue Crack Propagation”, Fatigue Crack Propagation, ASTM STP 415, American Society for Testing and Materials, Philadelphia, PA, U.S.A. ibid., pp. 131–168, 1967.
Laird, C. and Smith, G.C., “Crack Propagation in High Stress Fatigue”, Philosophical Magazine, 7, pp. 847–857, 1962.
Weertman, J., “Fatigue Crack Propagation Theories”, Fatigue and Microstructure, American Society for Metals, Metals Park, Ohio, U.S.A., pp. 279–306, 1979.
Sadananda, K., “Theoretical Aspects of Fatigue and Creep Crack Growth”, Advances in Fracture Research, Eds., S.R. Valluri et al, Pergamon Press, Oxford, England, Vol. 1, pp. 211–234, 1984.
Yokobori, T. and Ichikawa, M., “Effect of Elastic Plastic Stress Distribution near the Crack Tip on the Nucleation Theory of Fatigue Crack Propagation”, Rep. Res. Inst. Strength and Fracture of Materials, Tohoku Univ., Sendai, Japan, 4. pp. 45–53, 1968.
Fine, M.E. and Davidson, D.L., “Quantitative Measurement of Energy Associated with a Moving Fatigue Crack”, Fatigue Mechanisms: Advances in Quantitative Measurement of Physical Damage, ASTM STP 811, Eds. J. Lankford et al, American Society for Testing and Materials, Philadelphia, PA, U.S.A., pp. 350–370, 1983.
Ritchie, R.O., Gerberich, W.W. and Antolovich, S.D., “Fundamentals of Fracture and Fatigue: A Basis for Alloy Design”, Mechanical Properties and Phase Transformations in Engineering Materials, Eds. S.D. Antolovich et al, TMS-AIME, Warrendale, PA, U.S.A., pp. 59–98, 1986.
Dowling, N.E. and Begley, J.A., “Fatigue Crack Growth During Gross Plasticity and the J-integral”, Mechanics of Crack Growth, ASTM STP 590, American Society for Testing and Materials, Philadelphia, PA, U.S.A., pp. 82–103, 1976.
Rice, J.R., “A Path Independent Integral and the Approximate Analysis of Strain Concentrations by Notches and Cracks”, J. of Appl. Mech., 35, pp. 379–386, 1968.
Paris, P.C., “Fracture Mechanics in the Elastic-Plastic Regime”, Flaw Growth and Fracture, ASTM STP 631, American Society for Testing and Materials, Philadelphia, PA, U.S.A., pp. 3–27, 1977.
Ritchie, R.O., “Thresholds for Fatigue Crack Propagation: Questions and Anomalies”, Advances in Fracture Research, Eds., S.R. Yalluri et al,, Pergamon Press, Oxford, England, Vol. 1, pp. 235–260, 1984.
Ritchie, R.O., “Near-Threshold Fatigue: An Overview of the Role of Microstructure and Environment”, Fatigue 84, Ed. C.J. Beevers, EMAS Ltd., Warley, U.K., Vol. 3, pp. 1833–1863, 1984.
Beevers, C.J., “Some Aspects of the Influence of Microstructure and Environment on AK Thresholds”, Fatigue Thresholds, Eds. J. Bäcklund, A.F. Blom and C.J. Beevers, EMAS Ltd., Warley, U.K., Vol. 1, pp. 257–275, 1982.
Yokobori, Jr., A.T. and Yokobori, T., “On Micro- and Macro-Mechanics of Fatigue Thresholds”, ibid., Vol. 1, pp. 171–189, 1982.
Sadananda, K. and Shahinian, P., “Predictions of Threshold Stress Intensity for Fatigue Crack Growth Using a Dislocation Model”, Int. J. Frac, 13, pp. 585–594, 1977.
Yu, C. and Yan, M., “A Calculation of the Threshold Stress Intensity Factor Range for Fatigue Crack Propagation in Metals”, Fatigue Engng Mater. Struct., 2, pp. 189–192, 1980.
Weiss, V. and Lal, D.N., “A Note on the Threshold Condition for Fatigue Crack Propagation”, Met. Trans., 5, pp. 1946–1949, 1974.
Blom, A.F., “Near-Threshold Fatigue Crack Growth and Crack Closure in 17–4 PH Steel and 2024-T3 Aluminium Alloy”, Fatigue Crack Growth Threshold Concepts, Eds. D.L. Davidson and S. Suresh, TMS-AIME, Warrendale, PA, U.S.A., pp. 263–279, 1984.
Yoder, G.R., Cooley, L.A. and Crooker, T.W., “A Critical Analysis of Grain-Size and Yield-Strength Dependence of Near-Threshold Fatigue Crack Growth in Steels”, Fracture Mechanics: 14th Symposium, ASTM STP 791, Eds. J.C. Lewis and G. Sines, American Society for Testing and Materials, Philadelphia, PA, U.S.A., Vol. 1, pp. 348–365, 1983.
Blom, A.F., Hadrboletz, A. and Weiss, B., “Effect of Crack Closure on Near-Threshold Crack Growth Behaviour in a High Strength Al-Alloy up to Ultrasonic Frequencies”, Mechanical Behaviour of Materials-IV, Eds. J. Carlsson and N.G. Ohlson, Pergamon Press, Oxford, U.K., Vol. 2, pp. 755–762, 1984.
Suresh, S., “Crack Deflection: Implications for the Growth of Long and Short Fatigue Cracks”, Met. Trans. A, pp. 2375–2385, 1983.
Suresh, S., “Models for Fatigue Crack Deflection”, Fatigue 84, Ed. C.J. Beevers, EMAS Ltd, Warley, U.K., Vol. 1, pp. 555–563, 1984.
Elber, W., “Fatigue Crack Propagation Under Random Loading: An Analysis Considering Crack Closure”, Proc. 11th ICAF Conference, Eds. G. Wållgren and S. Eggwertz, Stockholm, Sweden, 1969.
Elber, W., “Fatigue Crack Closure Under Cyclic Tension”, Eng. Frac. Mech., 2, pp. 37–45, 1970.
Eiber, W., “The Significance of Fatigue Crack Closure”, Damage Tolerance in Aircraft Structures, ASTM STP 486, American Society for Testing and Materials, Philadelphia, PA, U.S.A., pp. 230–242, 1971.
Ritchie, R.O., “Environmental Effects on Near-Threshold Fatigue Crack Propagation in Steels: A Reassessment”, Fatigue Thresholds, Eds. J. Bäcklund, A.F. Blom and C.J. Beevers, EMAS, Warley, U.K., pp. 503–519, 1982.
Suresh, S., Parks, D.M. and Ritchie, R.O., “Crack Tip Oxide Formation and its Influence on Fatigue Thresholds”, atigue Thresholds, Eds. J. Bäcklund, A.F. Blom and C.J. Beevers, EMAS, Warley, U.K. ibid., pp. 391–408, 1982.
Stewart, A.T., “The Influence of Environment and Stress Ratio on Fatigue Crack Growth at Near-Threshold Stress Intensities in Low-Alloy Steels”, Engng Fracture Mech. 13, pp. 461–478, 1980.
Suresh, S. and Ritchie, R.O., “Near-Threshold Fatigue Crack Propagation: A Perspective on the Role of Crack Closure”, Fatigue Crack Growth Threshold Concepts, Eds. D.L. Davidson and S. Suresh, TMS-AIME, Warrendale, PA, U.S.A., pp. 227–261, 1984.
Walker, N. and Beevers, C.J., “A Fatigue Crack Closure Mechanism in Titanium”, Fatigue Engng Mat. Struct. 1, pp. 135–148, 1979.
Minakawa, K. and McEvily, A.J., “On Near-Threshold Fatigue Crack Growth in Steels and Aluminium Alloys”, Fatigue Thresholds, Eds. J. Bäcklund, A.F. Blom and C.J. Beevers, EMAS, Warley, U.K., pp. 373–390, 1982.
Ritchie, R.O. and Suresh, S., “Some Considerations on Fatigue Crack Closure at Near-Threshold Stress Intensities due to Fracture Surface Morphology”, Met. Trans. A, 13A, pp. 937–940, 1982.
Suresh, S. and Ritchie, R.O., “A Geometric Model for Fatigue Crack Closure Induced by Fracture Surface Roughness”, Met. Trans. A, 13A. pp. 1627–1631, 1982.
Ritchie, R.O., Zaiken, E. and Blom, A.F., “Is the Concept of a Fatigue Threshold Meaningful in the Presence of Compression Cycles?” Critical Experiments and Fundamental Questions on Fatigue, ASTM STP 924, Ed. J. Fong, American Society for Testing and Materials, Philadelphia, PA, U.S.A., in print.
Nakagaki, M. and Atluri, S.N., “Fatigue Crack Closure and Delay Effects Under Mode I Spectrum Loading: An Efficient Elastic-Plastic Analysis Procedure”, Fatigue Engng Mat. Struct. 1, pp. 421–429, 1979.
Nakagaki, M. and Atluri, S.N., “Elastic-Plastic Analysis of Fatigue Crack Closure in Modes I and II”, AIAA J., 18, pp. 1110–1117, 1980.
Hutchinson, J.W., “Singular Behaviour at the End of a Tensile Crack in a Hardening Material”, J. Mech. Phys. Solids, 16, pp. 13–31, 1968.
Rice, J.R. and Rosengren, G.F., “Plane Strain Deformation Near a Crack Tip in a Power Hardening Material”, J. Mech. Phys. Solids, 16, pp. 1–12, 1968.
Newman, Jr., J.C., “A Finite-Element Analysis of Fatigue Crack Closure”, Mechanics of Crack Growth, ASTM STP 590, American Society for Testing and Materials, PA, U.S.A., pp. 281–301, 1976.
Newman, Jr., J.C., “Finite-Element Analysis of Crack Growth Under Monotonic and Cyclic Loading”, Cyclic Stress-Strain and Plastic Deformation Aspects of Fatigue Crack Growth, ASTM STP 637, American Society for Testing and Materials, PA, U.S.A., pp. 56–80, 1977.
Blom, A.F. and Holm, D.K., “An Experimental and Numerical Study of Crack Closure”, Engng Frac. Mech., 22, pp. 997–1011, 1985.
Blom, A.F. and Holm, D.K., “An Experimental and Numerical Study of Crack Closure”, Engng Frac. Mech., 22, pp. 997–1011, 1985.
Holm, D.K. and Blom, A.F., “Load Interaction Effects on Fatigue Crack Propagation in High Strength Steels”, Report No. 85–11, Dept. Aero. Struct. Mtrls, The Royal Inst. Technology, Stockholm, Sweden, 1985.
Fleck, N.A., “Finite Element Analysis of Plasticity-Induced Crack Closure Under Plane Strain Conditions”, Engng Frac. Mech., 25, pp. 441–449, 1986.
Chermahini, R.G., “Three-Dimensional Elastic-Plastic Finite-Element Analysis of Fatigue Crack Growth and Closure”, Ph. D, Thesis, Old Dominion University, Norfolk, VA., U.S.A., August 1986.
Chermahini, R.G., “Three-Dimensional Elastic-Plastic Finite-Element Analysis of Fatigue Crack Growth and Closure”, Ph. D, Thesis, Old Dominion University, Norfolk, VA., U.S.A., August 1986.
Chermahini, R.G. and Blom, A.F., “Determination of Fatigue Crack Closure: Three-Dimensional Analysis and Implications for Experimental Observations”, to be published.
Budiansky, B. and Hutchinson, J.W., “Analysis of Closure in Fatigue Crack Growth”, ASME J. Appl. Mech. 45, pp. 267–276, 1978.
Füring, H. and Seeger, T., “Dugdale Crack Closure Analysis of Fatigue Cracks Under Constant Amplitude Loading”, Engng Fracture Mech. 11, pp. 99–122, 1979.
Lo, K.K., “Fatigue Crack Closure Following a Step-Increase Load”, ASTM J. Appl. Mech. 47, pp. 811–815, 1980.
Kanninen, M.F. and Popelar, C.H., “Advanced Fracture Mechanics”, Oxford University Press, New York, N.Y., U.S.A., 1985.
Paris, P.C. and Hermann, L., “Twenty Years of Reflection on Questions Involving Fatigue Crack Growth. Part II: Some Observations of Crack Closure”, Fatigue Thresholds Eds. J. Bäcklund, A.F. Blom and C.J. Beevers, EMAS Ltd., Warley, U.K., Vol. 1, pp. 11–32, 1982.
Kanninen, M.F., Atkinson, C. and Feddersen, C.E., “A Fatigue Crack-Growth Analysis Method Based on a Simple Representation of Crack-Tip Plasticity”, Cyclic Stress-Strain and Plastic Deformation Aspects of Fatigue Crack Growth”, ASTM STP 637, American Society for Testing and Materials, Philadelphia, PA, U.S.A., pp. 122–140, 1977.
Atkinson, C and Kanninen, M.F., “A Simple Representation of Crack Tip Plasticity: The Inclined Strip-Yield Superdislocation Model”, Int. J. Fracture, 13, pp. 151–163, 1977.
Kanninen, M.F. and Atkinson, C, “Application of an Inclined-Strip-Yield Crack-Tip Plasticity Model to Predict Constant Amplitude Fatigue Crack Growth”, Int. J. Fracture, 16, pp. 53–69, 1980.
Füring, H., “Fatigue Crack Growth Analysis for Random Loading Based on a Generalised Memory Criterion”, Numerical Methods in Fracture Mechanics II, Eds. D.R.J. Owen and A.R. Luxmoore, Pineridge Press, Swansea, U.K., pp. 645–658, 1980.
de Koning, A.U., “A Simple Crack Closure Model for Prediction of Fatigue Crack Growth Rates Under Variable-Amplitude Loading”, Fracture Mechanics: 13th Conf., ASTM STP 743, Ed. R. Roberts, American Society for Testing and Materials, Philadelphia, PA, U.S.A. pp. 63–85, 1981.
Newman, Jr., J.C., “A Crack-Closure Model for Predicting Fatigue Crack Growth Under Aircraft Spectrum Loading”, Methods and Models for Predicting Fatigue Crack Growth under Random Loading, ASTM STP 748, Eds. J.B. Chang and CM. Hudson, American Society for Testing and Materials, Philadelphia, PA, U.S.A., pp. 53–84, 1981.
Wang, G.S. and Blom, A.F., “A Modified Dugdale-Barenblatt Model for Fatigue Crack Growth Predictions under General Load Conditions”, FFA TN 1987–79, The Aeronautical Research Institute of Sweden, Bromma, Sweden, 1987, Submitted for publication.
Bueckner, H.F., “A Novel Principle for the Computation of Stress Intensity Factors”, Zeitschrift für Angewandte Mathematik und Mechanik, 50, pp. 529–546, 1970.
Hudak, S.J., Saxena, A., Bucci, R.J. and Malcolm, R.C., “Development of Standard Methods of Testing and Analyzing Fatigue Crack Growth Rate Data”, AFML-TR-78–40, Air Force Materials Laboratory, Wright Patterson Air Force Base, OH, U.S.A., 1978.
Holm, D.K., Blom, A.F. and Suresh, S., “Growth of Cracks under Far-Field Cyclic Compressive Loads: Numerical and Experimental Results”, Engng Frac. Mech., 23, pp. 1097–1106, 1986.
Blom, A.F., Holm D.K. and Suresh, S., “Fatigue Crack Growth under Cyclic Compression: Role of First Load Cycle”, To be presented at the 16th ICAS Congress, Jerusalem, Israel, August/Sept. 1988, Int. Council of the Aeronautical Sciences.
Aswath, P.B., Holm, D.K., Blom, A.F. and Suresh, S., “Load Interaction Effects on Compression Fatigue Crack Growth in Ductile Solids”, Accepted for publication in ASME J. Engng Mtrls. Techn.
Ignat’eva, V.S., Kulakhmet’ev, R.R. and Larionov, V.V., “Effects of Residual Stresses on the Development of Fatigue Cracks in the Region of Butt Welds”, Avt. Svarka, pp. 1–4, 1985.
Blom, A.F., “Influence of Residual Stress Fields on Fatigue Crack Propagation”, Residual Stresses, Eds. T. Ericsson and J. Bergström, Uddeholms AB, Hagfors, Sweden, pp. 195–230, 1987.
Wheeler, O.E., “Spectrum Loading and Crack Growth”, J. Basic Engng, Trans. ASME, 94, pp. 181–186, 1972.
Willenborg, J., Engle, R.M. and Wood. H., “A Crack Growth Retardation Model Using an Effective Stress Intensity Concept”, AFFDL-TM-FBR-71–1 Air Force Flight Dynamics Laboratory, Wright Patterson Air Force Base,, OH, U.S.A., 1971.
Ward-Close, C.M., Blom, A.F. and Ritchie, R.O., “Mechanisms Associated with Transient Fatigue Crack Growth under Variable-Amplitude Loading: An Experimental and Numerical Study”, Submitted for publication in Engng Frac. Mech.
Blom, A.F. and Holm, D.K., “Load Interaction Effects on Fatigue Crack Propagation in Steels of Varying Strength”, Role of Fracture Mechanics in Modern Technology, Eds. G.C Sih, H. Nisitani and T. Ishihara, North-Holland, Elsevier Science Publishers B.V., Amsterdam, The Netherlands, pp. 235–249, 1987.
Blom, A.F. and Sandberg, O., “Fatigue Crack Growth in the Steels SS 2132 and 0X812: Retardation Effects following Single Overloads” (in Swedish), FFA TN 1986–62, The Aeronautical Research Institute of Sweden, Bromma, Sweden, 1986.
Suresh, S. and Vasudevan, A.K., “Application of Fatigue Threshold Concepts to Variable Amplitude Crack Propagation”, Fatigue Crack Growth Threshold Concepts, Eds. D.L. Davidson and S. Suresh, TMS-AIME, Warrendale, PA, U.S.A., pp. 361–378, 1984.
Blom, A.F., “Relevance of Short Fatigue Crack Growth Data for Durability and Damage Tolerance Analyses of Aircraft”, Small Fatigue Cracks, Eds. R.O. Ritchie and J. Lankford, TMS-AIME, Warrendale, PA, U.S.A., pp. 623–638, 1986.
Heuler, P. and Schütz, W., “Fatigue Life Prediction in the Crack Initiation and Crack Propagation Stages”, Durability and Damage Tolerance in Aircraft Design, Eds. A. Salvetti and G. Cavallini, EMAS Ltd., Warley, U.K., pp. 33–69, 1985.
Small Fatigue Cracks, Eds. R.O. Ritchie and J. Lankford, TMS-AIME, Warrendale, PA, U.S.A., 1986.
The Behaviour of Short Fatigue Cracks, Eds. K.J. Miller and E.R. de los Rios, Mechanical Engineering Publications, London, U.K., 1986.
Blom, A.F., Hedlund, A., Zhao, W., Fathulla, A., Weiss, B. and Stickler, R., “Short Fatigue Crack Growth Behaviour in Al 2024 and Al 7475”, ibid., pp. 37–66, 1986.
Newman, Jr., J.C., “A Nonlinear Fracture Mechanics Approach to the Growth of Small Cracks”, Behaviour of Short Cracks in Airframe Components, AGARD Conf. Proc. No. 328, NATO Advisory Group for Aerospace Research and Development, Neuilly sur Seine, France, pp. 6–1–6–26, 1983.
Wang, G.S. and Blom, A.F., “On the Application of a Dugdale-Barenblatt Model to the Growth of Small Fatigue Cracks”, to be published.
Holm, D.K. and Blom, A.F., “Short Cracks and Crack Closure in Al 2024-T3”, 14th ICAS Congress, A.AA, New York, N.Y., U.S.A., pp. 783–790, 1984.
Ritchie, R.O., Yu, W., Blom, A.F. and Holm, D.K., “An Analysis of Crack Tip Shielding in Aluminum Alloy 2124: A Comparison of Large, Small, Through-Thickness and Surface Fatigue Cracks”, Fatigue and Fracture of Engng Mtrls Struct., in print.
Short-Crack Behaviour in Aerospace Materials — An AGARD Cooperative Test Programme, Coordinators J.C. Newman, Jr. and P. Edwards. AGARD Reports under preparation.
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Blom, A.F. (1989). Modelling of Fatigue Crack Growth. In: Branco, C.M., Rosa, L.G. (eds) Advances in Fatigue Science and Technology. NATO ASI Series, vol 159. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-2277-8_3
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