DOI:
https://doi.org/10.14483/23448393.18453Published:
2022-08-19Issue:
Vol. 27 No. 3 (2022): September-DecemberSection:
Mechanical EngineeringSobre la determinación del umbral del rango del factor de intensidad de tensiones y los factores que lo afectan
On Determining the Stress Intensity Factor Range Threshold and the Factors that Affect It
Keywords:
crack closure, load ratio, microstructure (en).Keywords:
cierre de grieta, relación de carga, microestructura (es).Downloads
References
ASME, “Article KD-4, Fracture Mechanics Evaluation”, Boiler and Pressure Vessel Code, Section VIII, Rules for Construction of Pressure Vessels, Division 3, New York, American Society of Mechanical Engineers, 2019.
British Standard, Guide to Methods for Assessing the Acceptability of Flaw in Metallic Structures, BS 7910, London, The British Standard Institution, 2019.
C. A. Cabrera Arias, F. S. Garay Rairan, I. Arango Calderón y Ó. E. Gómez Vargas, “Design of a troubleshooting digital test bench for the beechcraft king C-90, 200, B200, 300 and 350 aircraft GCU”, Ingeniería, vol. 25, no. 3, pp. 393-409, 2020. https://doi.org/10.14483/23448393.16903 DOI: https://doi.org/10.14483/23448393.16903
S. Rodríguez Pulecio, J. J. Coronado Marín y N. Arzola de la Peña, “Mecánica de la fractura aplicada a ejes de molinos de caña de azúcar”, Ingeniería, vol. 10, no. 2, pp. 23-29, 2005. https://doi.org/10.14483/23448393.2713
U. Zerbst et al., “Fatigue and fracture of weldments”, in Fatigue and Fracture of Weldments. Springer, 2018. https://doi.org/10.1007/978-3-030-04073-4_1 DOI: https://doi.org/10.1007/978-3-030-04073-4
K. J. Miller, “The behaviour of short fatigue cracks and their initiation part I - A review of two recent books”, Fat. Frac. Eng. Mater. Struct., vol. 10, no. 1, pp. 75-91, 1987. https://doi.org/10.1111/j.1460-2695.1987.tb01150.x DOI: https://doi.org/10.1111/j.1460-2695.1987.tb01150.x
M. Su, L. Xu, C. Peng, Y. Han, and L. Zhao, “Fatigue short crack growth, model and EBSD characterization of marine steel welding joint”, Int. J. Fatigue, vol. 156, 2022. https://doi.org/10.1016/j.ijfatigue.2021.106689 DOI: https://doi.org/10.1016/j.ijfatigue.2021.106689
K. Hasegawa, D. Dvořák, V. Mareš, B. Strnadel, and S. Usami, “Suitability of fatigue crack growth thresholds at negative stress ratios for ferritic steels and aluminum alloys in flaw evaluation procedures”, Eng. Fract. Mech., vol. 248, 2021. https://doi.org/10.1016/j.engfracmech.2021.107670 DOI: https://doi.org/10.1016/j.engfracmech.2021.107670
D. Taylor, A Compendium of Fatigue Thresholds and Growth Rates, London, Engineering Materials Advisory Services, 1985.
U. Zerbst, M. Vormwald, R. Pippan, H.-P. Gänser, C. Sarrazin-Baudoux, and M. Madia, “About the fatigue crack propagation threshold of metals as a design criterion - A review”, Eng. Fract. Mech., vol. 153, pp. 190-243, 2016. https://doi.org/10.1016/j.engfracmech.2015.12.002 DOI: https://doi.org/10.1016/j.engfracmech.2015.12.002
ASTM, Standard Test Method for Measurement of Fatigue Crack Growth Rates, ASTM E647-15e1, West Conshohocken, PA, ASTM International, 2015.
L. P. Pook, “Mixed-mode fatigue crack growth thresholds: a personal historical review of work at the National Engineering Laboratory, 1975-1989”, Eng. Fract. Mech., vol. 187, pp. 115-141, 2018. https://doi.org/10.1016/j.engfracmech.2017.10.028 DOI: https://doi.org/10.1016/j.engfracmech.2017.10.028
J. M. Barsom, “Fatigue behavior of pressure-vessel steels”, WRC Bulletin, 194, New York, The Welding Research Council, 1974.
A. Hobbacher, Recommendations for Fatigue Design of Welded Joints and Components, document XIII-2151-07 / XV 1254-07, Paris, International Institute of Welding, 2007.
G. Marci, “Determination of the partitioning point dividing ΔK into ΔKeff”, Eng. Fract. Mech., vol. 53, no. 1, pp. 23-36, 1996. https://doi.org/10.1016/0013-7944(95)00082-7 DOI: https://doi.org/10.1016/0013-7944(95)00082-7
S. C. Forth, J. C. Newman, and R. G. Forman, “Generating fatigue crack growth thresholds with constant amplitude loads”, Fatigue 2002, pp. 2337-2344 , 2002.
D. J. Bang, and A. Ince, “A short and long crack growth model based on 2-parameter driving force and crack growth thresholds”, Int. J. of Fatigue, vol. 141, 2020. https://doi.org/10.1016/j.ijfatigue.2020.105870 DOI: https://doi.org/10.1016/j.ijfatigue.2020.105870
J. C. Newman, “A review of modelling small-crack behavior and fatigue-life predictions for aluminum alloys”, Fat. Fract. Eng. Mater. Struct., vol. 17, no. 4, pp. 429-439, 1994. https://doi.org/10.1111/j.1460-2695.1994.tb00242.x DOI: https://doi.org/10.1111/j.1460-2695.1994.tb00242.x
D. Leonetti, J. Maljaars, and H. H. Snijder, “Fracture mechanics based fatigue life prediction for a weld toe crack under constant and variable amplitude random block loading—Modeling and uncertainty estimation”, Eng. Fract. Mech., vol. 242, 2021. https://doi.org/10.1016/j.engfracmech.2020.107487 DOI: https://doi.org/10.1016/j.engfracmech.2020.107487
K. Sadananda, A. Arcari, and A. K. Vasudevan, “Does a nucleated crack propagate?”, Eng. Fract. Mech., vol. 176, pp. 144-160, 2017. https://doi.org/10.1016/j.engfracmech.2017.02.003 DOI: https://doi.org/10.1016/j.engfracmech.2017.02.003
A. K. Vasudevan, K. Sadanada, and N. Louat, “A review of crack closure, fatigue crack threshold and related phenomena”, Mater. Sci. Eng. A, vol. 188, no. 1-2, pp. 1-22, 1994. https://doi.org/10.1016/0921-5093(94)90351-4 DOI: https://doi.org/10.1016/0921-5093(94)90351-4
A. H. Noroozi, G. Glinka, and S. Lambert, “A two parameter driving force for fatigue crack growth analysis”, Int. J. Fatigue, vol. 27, no. 10-12, pp. 1277-1296, 2005. https://doi.org/10.1016/j.ijfatigue.2005.07.002 DOI: https://doi.org/10.1016/j.ijfatigue.2005.07.002
A. H. Noroozi, G. Glinka, and S. Lambert, “A study of the stress ratio effects on fatigue crack growth using the unified two-parameter fatigue crack growth driving force”, Int. J. Fatigue, vol. 29, no. 9-11, pp.1616-1633, 2007. https://doi.org/10.1016/j.ijfatigue.2006.12.008 DOI: https://doi.org/10.1016/j.ijfatigue.2006.12.008
D. J. Bang, A. Ince, and L. Q. Tang, “A modification of UniGrow 2-parameter driving force model for short fatigue crack growth”, Fat. Fract. Eng. Mater. Struct., vol. 42, no.1, pp. 45-60, 2019. https://doi.org/10.1111/ffe.12865 DOI: https://doi.org/10.1111/ffe.12865
D. J. Bang, A. Ince, and M. Noban, “Modeling approach for a unified crack growth model in short and long fatigue crack regimes”, Int. J. Fatigue, vol. 128, 2019. https://doi.org/10.1016/j.ijfatigue.2019.06.042 DOI: https://doi.org/10.1016/j.ijfatigue.2019.06.042
H. Kitagawa, and S. Takahashi, “Applicability of fracture mechanics to very small cracks or the cracks in the early stages”, Proceedings of 2nd International Conference on Mechanical Behavior of Materials, pp. 627-631, 1976.
B. Atzori, and P. Lazzarin, “Notch sensitivity and defect sensitivity under fatigue loading: Two sides of the same medal”, Int. J. Fract., vol. 107, pp. 1-8, 2001. https://doi.org/10.1023/A:1007686727207 DOI: https://doi.org/10.1023/A:1007686727207
B. Atzori, and P. Lazzarin, “A three-dimensional graphical aid to analyze fatigue crack nucleation and propagation phases under fatigue limit conditions”, Int. J. Fract., vol. 118, no. 3, pp. 271-284, 2002. https://doi.org/10.1023/A:1022965909483 DOI: https://doi.org/10.1023/A:1022965909483
M. N. James, C. J. Christopher, Y. Lu, and E. A. Patterson, “Local crack plasticity and its influences on the global elastic stress field”, Int. J. Fatigue, vol. 46, pp. 4-15, 2013. https://doi.org/10.1016/j.ijfatigue.2012.04.015 DOI: https://doi.org/10.1016/j.ijfatigue.2012.04.015
R. O. Ritchie, “Mechanisms of fatigue crack propagation in metals, ceramics and composites: Role of crack tip shielding”, Mater. Sci. Eng.: A, vol. 103, no. 1, pp. 15-28, 1988. https://doi.org/10.1016/0025-5416(88)90547-2 DOI: https://doi.org/10.1016/0025-5416(88)90547-2
R. Pippan, and A. Hohenwarter, “Fatigue crack closure: A review of the physical phenomena”, Fat. Fract. Eng. Mater. Struct., vol. 40, no. 4, pp. 471-495, 2017. https://doi.org/10.1111/ffe.12578 DOI: https://doi.org/10.1111/ffe.12578
H. J. Schindler, “On the significance of crack tip shielding in fatigue threshold— Theoretical relations and experimental implications”, in J. C. Newman, and R. S. Piascik (Eds.), Fatigue Crack Growth Thresholds, Endurance Limits, and Design, ASTM International, 2000. https://doi.org/10.1520/stp13425s DOI: https://doi.org/10.1520/STP13425S
R. Pippan, “The effective threshold of fatigue crack propagation in aluminium alloys. I. The influence of yield stress and chemical composition”, Phil. Magazine A, vol. 77, no. 4, pp. 861-873, 1998. https://doi.org/10.1080/01418619808221216 DOI: https://doi.org/10.1080/01418619808221216
K. J. Miller, “Materials science perspective of metal fatigue resistance”, Mater. Sci. Tech., vol. 9, no. 6, pp. 453-462, 1993. https://doi.org/10.1179/mst.1993.9.6.453 DOI: https://doi.org/10.1179/mst.1993.9.6.453
C. Santus, and D. Taylor, “Physically short crack propagation in metals during high cycle fatigue”, Int. J. Fatigue, vol. 31, no. 8-9, pp. 1356-1365, 2009. https://doi.org/10.1016/j.ijfatigue.2009.03.002 DOI: https://doi.org/10.1016/j.ijfatigue.2009.03.002
U. Zerbst, and M. Madia, “Fracture mechanics based assessment of the fatigue strength: Approach for the determination of the initial crack size”, Fat. Fract. Eng. Mater. Struct., vol. 38, no. 9, pp. 1066-1075, 2015. https://doi.org/10.1111/ffe.12288 DOI: https://doi.org/10.1111/ffe.12288
X. Cai, R. Xia, M. Huo, and J. Xu, “A threshold formula for fatigue crack growth with mean stress intensity factors”, Int. J. Mech. Sci., vol. 135, pp. 639-645, 2018. https://doi.org/10.1016/j.ijmecsci.2017.12.014 DOI: https://doi.org/10.1016/j.ijmecsci.2017.12.014
D. Kujawski, and F. Ellyin, “A unified approach to mean stress effect on fatigue threshold conditions”, Int. J. Fatigue, vol. 17, no. 2, pp. 101-106, 1995. https://doi.org/10.1016/0142-1123(95)95888-n DOI: https://doi.org/10.1016/0142-1123(95)95888-N
D. N. Lal, and T. K. G. Namboodhiri, “A model for the effect of mean stress on the threshold condition for fatigue crack propagation”, Mater. Sci. Eng.: A, vol. 130, no. 1, pp.37-49, 1990. https://doi.org/10.1016/0921-5093(90)90079-i DOI: https://doi.org/10.1016/0921-5093(90)90079-I
V. Kloster, H. A. Richard, and G. Kullmer, “Experimental characterization of the threshold and fatigue crack growth behaviour regarding negative stress ratios”, Ann. Nuclear Energy, vol. 40, no. 1, pp. 14-24, 2013.
K. Walker, “The effect of stress ratio during crack propagation and fatigue for 2024-T3 and 7075-T6 aluminum”, in M. S. Rosenfeld (Ed.), Effect of Environment and Complex Load History on Fatigue Life, ASTM International, 1970. https://doi.org/10.1520/stp32032s DOI: https://doi.org/10.1520/STP32032S
T. Mann, “The influence of mean stress on fatigue crack propagation in aluminum alloys”, Int. J. Fatigue, vol. 29, no. 8, pp. 1393-1401, 2007. https://doi.org/10.1016/j.ijfatigue.2006.11.010 DOI: https://doi.org/10.1016/j.ijfatigue.2006.11.010
V. M. Radhakrishan, “Endurance diagram”, Int. J. Fatigue, vol. 12, no. 6, pp. 513-517, 1990. https://doi.org/10.1016/0142-1123(90)90224-3 DOI: https://doi.org/10.1016/0142-1123(90)90224-3
H. Döker, “Fatigue crack growth threshold: Implications, determination and data evaluation”, Int. J. Fatigue, vol. 19, no. 93, pp. 145-149, 1997. https://doi.org/10.1016/s0142-1123(97)00058-3 DOI: https://doi.org/10.1016/S0142-1123(97)00058-3
R. Schmidt, and P. Paris, “Threshold for fatigue crack propagation and the effects of load ratio and frequency”, in J. Kaufman, J. Swedlow, H. Corten, J. Srawley, R. Heyer, E. Wessel, and G. Irwin (Eds.), Progress in Flaw Growth and Fracture Toughness Testing, ASTM International, 1973. https://doi.org/10.1520/stp49638s DOI: https://doi.org/10.1520/STP49638S
Z. Chen, The Effect of R Ratio and Temperature on Fatigue Crack Growth Threshold of Power Plant Steels, Doctoral Thesis, ETH, Zurich, 2018. https://doi.org/10.3929/ethz-b-000274863
Y. Yamada, and J. C. Newman Jr, “Crack closure under high load-ratio conditions for Inconel-718 near threshold behavior”, Eng. Fract. Mech., vol. 76, no. 2, pp. 209-220, 2009. https://doi.org/10.1016/j.engfracmech.2008.09.009 DOI: https://doi.org/10.1016/j.engfracmech.2008.09.009
J. A. Newman, W. T. Riddell, and R S. Piascik, “Effects of Kmax on fatigue crack growth threshold in aluminum alloys”, in J. C. Newman, and R. S. Piascik (Eds.), Fatigue Crack Growth Thresholds, Endurance Limits, and Design, ASTM International, 2000. https://doi.org/10.1520/stp13426s DOI: https://doi.org/10.1520/STP1372-EB
J. A. Newman, The Effects of Load Ratio on Threshold Fatigue Crack Growth of Aluminum Alloys, Ph.D. Dissertation, Virginia Tech., 2000. https://vtechworks.lib.vt.edu/handle/10919/29418
B. L. Boyce, and R. O. Ritchie, “Effect of load ratio and maximum stress intensity on the fatigue threshold in Ti-6Al-4V”, Eng. Fract. Mech., vol. 68, no. 2, pp. 129-147, 2001. https://doi.org/10.1016/s0013-7944(00)00099-0 DOI: https://doi.org/10.1016/S0013-7944(00)00099-0
M.-L. Zhu, F.-Z. Xuan, and S.-T. Tu., “Effect of load ratio on fatigue crack growth in the nearthreshold regime: A literature review, and a combined crack closure and driving force approach”, Eng. Fract. Mech., vol. 141, pp. 57-77, 2015. https://doi.org/10.1016/j.engfracmech.2015.05.005 DOI: https://doi.org/10.1016/j.engfracmech.2015.05.005
R. Sunder, “Why and how residual stress affects metal fatigue”, Advanced Materials Springer Proceedings in Physics, vol. 175, 2016. https://doi.org/10.1007/978-3-319-26324-3_34 DOI: https://doi.org/10.1007/978-3-319-26324-3_34
J. W. Sheldon, K. R. Bain, and J. K. Donald, “Investigation of the effects of shed-rate, initial Kmax, and geometric constraint on ΔKth in Ti-6Al-4V at room temperature”, Int. J. Fatigue, vol. 21, no. 7, pp. 733-741, 1999. https://doi.org/10.1016/s0142-1123(99)00037-7 DOI: https://doi.org/10.1016/S0142-1123(99)00037-7
I. Verpoest, E. Aernoudt, A. Deruyttere, and M. De Bondt, “The fatigue threshold, surface condition and fatigue limit of steel wire”, Int. J. Fatigue, vol. 7, no. 4, pp. 199-214, 1985. https://doi.org/10.1016/0142-1123(85)90051-9 DOI: https://doi.org/10.1016/0142-1123(85)90051-9
R. C. McClung, “Analysis of fatigue crack closure during simulated threshold testing”, in J. C. Newman, and R. S. Piascik (Eds.), Fatigue Crack Growth Thresholds, Endurance Limits, and Design, ASTM International, 2000. https://doi.org/10.1520/stp13435s DOI: https://doi.org/10.1520/STP13435S
T. H. Topper, and M. T. Yu, “The effect of overloads on threshold and crack closure”, Int. J. of Fatigue, vol. 7, no. 3, pp. 159-164, 1985. https://doi.org/10.1016/0142-1123(85)90027-1 DOI: https://doi.org/10.1016/0142-1123(85)90027-1
H. A. Richard, and M. Sander, Fatigue Crack Growth, Berlin, Springer, 2016. DOI: https://doi.org/10.1007/978-3-319-32534-7
R. W. Hertzberg, “On the calculation of closure-free fatigue crack propagation data in monolithic metal alloys”, Mat. Sc. Eng.: A, vol. 190, no. 1-2, pp. 25-32, 1995. https://doi.org/10.1016/0921-5093(94)09610-9 DOI: https://doi.org/10.1016/0921-5093(94)09610-9
J. Petit, G. Hénaff, and C. Sarrazin-Baudoux, “Environmentally assisted fatigue in the gaseous atmosphere”, Compr. Struct. Integr., vol. 6, pp. 211-280, 2003. https://doi.org/10.1016/b0-08-043749-4/06130-9 DOI: https://doi.org/10.1016/B0-08-043749-4/06130-9
O. N. Romaniv, A. N. Tkach, and N. Lenets, “Effect of fatigue crack closure on near‐threshold crack resistance of structural steels”, Fat. Fract. Eng. Mat. Struct., vol. 10, no. 3, pp. 203-212, 1987. https://doi.org/10.1111/j.1460-2695.1987.tb00478.x DOI: https://doi.org/10.1111/j.1460-2695.1987.tb00478.x
D. A. Lados, D. Apelian, and J. K. Donald, “Fatigue crack growth mechanisms at the microstructure scale in Al-Si-Mg cast alloys: Mechanisms in the near-threshold regime”, Acta Materialia, vol. 54, no. 6, pp. 1475-1486, 2006. https://doi.org/10.1016/j.actamat.2005.11.019 DOI: https://doi.org/10.1016/j.actamat.2005.11.019
P. Hutař, S. Seitl, and T. Kruml, “Effect of specimen geometry on fatigue crack propagation in threshold region”, Int. Conf. on Fracture (ICF 12), vol. 4, pp. 2914-2922, 2009.
P. C. Paris, H. Tada, and J K. Donald, “Service load fatigue damage —A historical perspective”, Int. J. Fatigue, vol. 21, Supplement I, pp. S35-S46, 1999. https://doi.org/10.1016/S0142-1123(99)00054-7 DOI: https://doi.org/10.1016/S0142-1123(99)00054-7
D. Kujawski, “Enhanced model of partial crack closure for correlation of R-ratio effects in aluminum alloys”, Int. J. Fatigue, vol. 23, no. 2, pp. 95-102, 2001. https://doi.org/10.1016/s0142-1123(00)00085-2 DOI: https://doi.org/10.1016/S0142-1123(00)00085-2
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