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Research Papers

Effect of Underloads on Plasticity-Induced Crack Closure: A Numerical Analysis

[+] Author and Article Information
F. V. Antunes

CEMMPRE, Department of Mechanical Engineering,
University of Coimbra Rua Luís Reis Santos,
Pinhal de Marrocos,
3030-788 Coimbra, Portugal
e-mail: fernando.ventura@dem.uc.pt

L. Paiva

CEMMPRE, Department of Mechanical Engineering,
University of Coimbra Rua Luís Reis Santos,
Pinhal de Marrocos,
3030-788 Coimbra, Portugal
e-mail: lribeiropaiva@gmail.com

R. Branco

CEMMPRE, Department of Mechanical Engineering,
Polytechnic Institute of Coimbra,
3030-129 Coimbra, Portugal
e-mail: ricardo.branco@dem.uc.pt

L. P. Borrego

CEMMPRE, Department of Mechanical Engineering,
Polytechnic Institute of Coimbra,
3030-129 Coimbra, Portugal
e-mail: borrego@isec.pt

1Corresponding author.

Contributed by the Materials Division of ASME for publication in the Journal of Engineering Materials and Technology. Manuscript received May 10, 2017; final manuscript received February 12, 2019; published online March 11, 2019. Assoc. Editor: Antonios Kontsos.

J. Eng. Mater. Technol 141(3), 031008 (Mar 11, 2019) (11 pages) Paper No: MATS-17-1133; doi: 10.1115/1.4042865 History: Received May 10, 2017; Accepted February 12, 2019

The effect of underloads is mostly quantified by the averaged effect on the fatigue crack growth rate, and the transient behavior is rarely investigated. The objective of this paper is to study the mechanisms behind the effect of underloads, periodic underloads, and underloads combined with overloads. A single underload smashes the material around the crack tip, producing a depression on crack flank and a local reduction of contact forces at the minimum load. The reduction of plastic elongation behind the crack tip has an immediate effect on crack opening level, which rapidly disappears with crack propagation. The smashing associated with the compressive force occurs mainly behind the crack tip position where the underload was applied. The effect of the underload is intimately linked to reversed plastic deformation, which explains its enhanced effect for kinematic hardening. The decrease of load below the minimum baseline load is the main loading parameter. The application of periodic underloads extends the effect of a single underload. The effect of the underload is enhanced by the presence of obstacles in the form of residual plastic deformation, which explains the great effect of underloads applied after overloads.

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References

Zitounis, V., and Irving, P. E., 2007, “Fatigue Crack Acceleration Effects During Tensile Underloads in 7010 and 8090 Aluminum Alloys,” Int. J. Fatigue, 29, pp. 108–118. [CrossRef]
Fleck, N. A., 1985, “Fatigue Crack Growth Due to Periodic Underloads and Overloads,” Acta Metall., 33, pp. 1339–1354. [CrossRef]
Yu, W., and Ritchie, R. O., 1987, “Fatigue Crack Propagation in 2090 Aluminum–Lithium Alloy: Effect of Compression Overload Cycles,” ASME J. Eng. Mater. Technol., 109, pp. 81–85. [CrossRef]
Dabayeh, A. A., Xu, R. X., Du, P. B., and Topper, T. H., 1996, “Fatigue of Cast Aluminum Alloys Under Constant and Variable Amplitude Loading,” Int. J. Fatigue, 18, pp. 95–104. [CrossRef]
Romeiro, F., de Freitas, M., and Pommier, S., 2005, “Effect of Overloads and Underloads on Fatigue Crack Growth and Interaction,” Fatigue Testing and Analysis Under Variable Amplitude Loading Conditions, ASTM STP 1439, P. C. McKeighan, and N. Ranganathan, eds., American Society for Testing and Materials, Philadelphia, pp. 453–467.
Silva, F. S., 2007, “Fatigue Crack Propagation After Overloading and Underloading at Negative Stress Ratios,” Int. J. Fatigue, 29, pp. 1757–1771. [CrossRef]
Iranpour, M., and Taheri, F., 2012, “On the Effect of Stress Intensity Factor in Evaluating the Fatigue Crack Growth Rate of Aluminum Alloy Under the Influence of Compressive Stress Cycles,” Int. J. Fatigue, 43, pp. 1–11. [CrossRef]
Zaiken, E., and Ritchie, R. O., 1985, “On the Role of Compression Overloads in Influencing Crack Closure and the Threshold Condition for Fatigue Crack Growth in 7150 Aluminum Alloy,” Eng. Fract. Mech., 22(I), pp. 35–48. [CrossRef]
Macha, D. E., Grandt, A. F., and Wicks, B. J., “Effects of Gas Turbine Engine Load Spectrum Variables on Crack Propagation,” Effect of Load Spectrum Variables on Fatigue Crack Initiation and Propagation: A Symposium, ASTM STP 714, ASTM International, West Conshohocken, PA, 1980, pp. 108–127.
Carlson, R. L., and Kardomateas, G. A., 1994, “Effects of Compressive Load Excursions on Fatigue Crack Growth,” Int. J. Fatigue, 16, pp. 141–146. [CrossRef]
Topper, T. H., and Yu, M. T., 1994, “The Effects of Overloads on Threshold and Crack Closure,” Int. J. Fatigue, 16, pp. 141–146. [CrossRef]
Zitounis, V., “Fatigue Crack Growth Rates Under Variable Amplitude Load Spectra Containing Tensile Underloads,” Ph.D. thesis, Cranfield University, England, 2004.
Zhang, X., Chan, A. S. L., and Davies, G. A. O., 1992, “Numerical Simulation of Fatigue Crack Growth Under Complex Loading Sequences,” Eng. Fract. Mech., 42, pp. 305–321. [CrossRef]
Zheng, X., Cui, H., Engler-Pinto, C. C., Jr., Su, X., and Wen, W., 2014, “Numerical Modeling of Fatigue Crack Propagation Based on the Theory of Critical Distances: Effects of Overloads and Underloads,” Eng. Fract. Mech., 128, pp. 91–102. [CrossRef]
Ranganathan, N., Adiwijayanto, F., Petit, J., and Baillon, J. P., 1995, “Fatigue Crack Propagation Mechanisms in an Aluminum–Lithium Alloy,” Acta Metall. Mater., 43, pp. 1029–1035. [CrossRef]
Makabe, C., Purnowidodo, A., and McEvily, A. J., 2004, “Effects of Surface Deformation and Crack Closure on Fatigue Crack Propagation After Overloading and Underloading,” Int. J. Fatigue, 26, pp. 1341–1348. [CrossRef]
Herman, W. A., Hertzberf, R. W., and Jaccard, R., “Prediction and Simulation of Fatigue Crack Growth Under Conditions of Low Closure,” Advances in Fracture Research, 7th International Conference on Fracture, Houston, p. 1417, 1989.
Henkener, J. A., Scheumann, T. D., and Grandt, A. F., 1990, “Fatigue Crack Growth Behaviour of a Peak-Aged Al-2.56Li00.092 Alloy,” Proceedings of 4th International Conference on Fatigue and Fatigue Thresholds, Honolulu, July 15–20, pp. 957–962.
Kemper, H., Weiss, B., and Stickler, R., 1989, “An Alternative Presentation of the Effects of the Stress-Ratio on the Fatigue Threshold,” Eng. Fract. Mech., 32(4), pp. 591–600. [CrossRef]
Kardomateas, G. A., and Carlson, R. L., 1995, “An Inelastic Multiple Discrete Asperities Model for the Effects of Compressive Underloads in Fatigue Crack Growth,” Int. J. Fract., 70, pp. 99–115. [CrossRef]
Yang, R., 1994, “Prediction of Fatigue Crack Growth Under Complex Loading Cycles,” Fatigue, 16, pp. 397–402. [CrossRef]
Skorupa, M., 1998, “Load Interaction Effects During Fatigue Crack Growth Under Variable Amplitude Loading—A Literature Review, Part I: Empirical Trends,” Fatigue Fract. Eng. Mater. Struct., 21, pp. 987–1006. [CrossRef]
Tvergaard, V., 2006, “Effect of Underloads or Overloads in Fatigue Crack Growth by Crack-Tip Blunting,” Eng. Fract. Mech., 73, pp. 869–879. [CrossRef]
White, P., Barter, S. A., and Molent, L., 2008, “Observations of Crack Path Changes Caused by Periodic Underloads in AA7050-T7451,” Int. J. Fatigue, 30, pp. 1267–1278. [CrossRef]
Russ, S. M., 2005, “Effect of LCF on HCF Crack Growth of Ti-17,” Int. J. Fatigue, 27, pp. 1628–1636. [CrossRef]
Pompetzki, M. A., Topper, T. H., and DuQuesnay, D. L., 1990, “The Effect of Compressive Underloads and Tensile Overloads on Fatigue Damage Accumulation in SAE 1045 Steel,” Int. J. Fatigue, 12(3), pp. 207–213. [CrossRef]
Doré, M. J., and Maddox, S. J., 2013, “Accelerated Fatigue Crack Growth in 6082 T651 Aluminum Alloy Subjected to Periodic Underloads,” Proc. Eng., 66, pp. 313–322. [CrossRef]
Bacila, A., Decoopman, X., Mesmacque, G., Voda, M., and Serban, V. A., 2007, “Study of Underload Effects on the Delay Induced by an Overload in Fatigue Crack Propagation,” Int. J. Fatigue, 29, pp. 1781–1787. [CrossRef]
Aguilar Espinosa, A. A., Fellows, N. A., and Durodola, J. F., 2013, “Experimental Measurement of Crack Opening and Closure Loads for 6082-T6 Aluminum Subjected to Periodic Single and Block Overloads and Underloads,” Int. J. Fatigue, 47, pp. 71–82. [CrossRef]
Hill, R., 1948, “A Theory of the Yielding and Plastic Flow of Anisotropic Metals,” Proc. Roy. Soc. Lon. Ser-A, 193, pp. 281–297. [CrossRef]
Chaparro, B. M., Thuillier, S., Menezes, L. F., Manach, P. Y., and Fernandes, J. V., 2008, “Material Parameters Identification: Gradient-Based, Genetic and Hybrid Optimization Algorithms,” Comput. Mater. Sci., 44(2), pp. 339–346. [CrossRef]
Antunes, F. V., Castanheira, F. A., and Branco, R., 2016, “A Numerical Analysis of the Mechanisms Behind Plasticity Induced Crack Closure: Application to Variable Amplitude Loadings,” Int. J. Fatigue, 89, pp. 43–52. [CrossRef]
Antunes, F. V., Chegini, A. G., Correia, L., and Branco, R., 2014, “Numerical Study of Contact Forces for Crack Closure Analysis,” Int. J. Solids Struct., 51(6), pp. 1330–1339. [CrossRef]
Menezes, L. F., and Teodosiu, C., 2000, “Three-Dimensional Numerical Simulation of the Deep-Drawing Process Using Solid Finite Elements,” J. Mater. Process. Technol., 97, pp. 100–106. [CrossRef]
Antunes, F. V., and Rodrigues, D. M., 2008, “Numerical Simulation of Plasticity Induced Crack Closure: Identification and Discussion of Parameters,” Eng. Fract. Mech., 75, pp. 3101–3120. [CrossRef]
Dabayeh, A. A., and Topper, T. H., 1995, “Changes in Crack-Opening Stress After Underloads and Overloads in 2024–T351 Aluminum Alloy,” Int. J. Fatigue, 17, pp. 261–269. [CrossRef]
Benz, C., and Sander, M., 2015, “Reconsiderations of Fatigue Crack Growth at Negative Stress Ratios: Finite Element Analyses,” Eng. Fract. Mech., 145, pp. 98–114. [CrossRef]
Antunes, F. V., Correia, L., and Ramalho, A. L., 2015, “A Parameter for Quantitative Analysis of Plasticity Induced Crack Closure,” Int. J. Fatigue, 71, pp. 87–97. [CrossRef]
Antunes, F. V., Correia, L., Camas, D., and Branco, R., 2015, “Effect of Compressive Loads on Plasticity Induced Crack Closure,” Theor. Appl. Fract. Mech., 80, pp. 193–204. [CrossRef]
Antunes, F. V., Chegini, A. G., Camas, D., and Correia, L., 2015, “Empirical Model for Plasticity Induced Crack Closure Based on Maximum and Total Range of Stress Intensity Factor,” Fatigue Fract. Eng. Mater. Struct., 38, pp. 983–996. [CrossRef]
Vor, K., Sarrazin-Baudoux, C., Gardin, C., and Petit, J. 2009, “Effect of Short Crack on Closure Behaviour in a 304L Stainless Steel,” Proceedings of International Conference of Fracture, Vol. 12, Ottawa, Ontario.
Branco, R., and Antunes, F. V., 2008, “Finite Element Modelling and Analysis of Crack Shape Evolution in Mode-I Fatigue Middle Cracked Tension Specimens,” Eng. Fract. Mech., 75, pp. 3020–3037. [CrossRef]
Antunes, F. V., Marques, G. A. S., Chegini, A. G., and Correia, L., 2013, “Transient Behaviour in the Numerical Analysis of Plasticity Induced Crack Closure,” Fatigue Fract. Eng. Mater. Struct., 37(5), pp. 526–538. [CrossRef]
Krkoska, M., Barter, S. A., Alderliesten, R. C., White, P., and Benedictus, R., 2010, “Fatigue Crack Paths in AA2024-T3 When Loaded With Constant Amplitude and Simple Underload Spectra,” Eng. Fract. Mech., 77, pp. 1857–1865. [CrossRef]
Mehrzadi, M., and Taheri, F., 2013, “Influence of Compressive Cyclic Loading on Crack Propagation in AM60B Magnesium Alloy Under Random and Constant Amplitude Cyclic Loadings,” Eng. Fract. Mech., 99, pp. 1–17. [CrossRef]
Mills, W. J., and Hertzberg, R. W., 1976, “Load Interaction Effects on Fatigue Crack Propagation in 2024-T3 Aluminum Alloy,” Eng. Fract. Mech., 8, pp. 657–667. [CrossRef]
Gan, D., and Weertman, J., 1981, “Crack Closure and Crack Propagation Rates in 7050 Aluminum,” Eng. Fract. Mech., 15, pp. 87–106. [CrossRef]
Yisheng, W., and Schijve, J., 1995, “Fatigue Crack Closure Measurements on 2024-T3 Sheet Specimens,” Fatigue Fract. Eng. Mater. Struct., 18, pp. 917–921. [CrossRef]
Taheri, F., Trask, D., and Pegg, N., 2003, “Experimental and Analytical Investigation of Fatigue Characteristics of 350WT Steel Under Constant and Variable Amplitude Loading,” Mar. Struct., 16, pp. 69–91. [CrossRef]
Minakawa, K., Nakamura, H., and McEvily, A. J., 1984, “On the Development of Crack Closure With Crack Advance in a Ferritic Steel,” Scr. Metall., 18, pp. 1371–1374. [CrossRef]
Sunder, R., 2015, “Characterization of Threshold Stress Intensity as a Function of Near-Tip Residual Stress: Theory, Experiment, and Applications,” Mater. Perform. Charact., 4(2), pp. 105–130.

Figures

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Fig. 1

Model of M(T) specimen: (a) frontal view, (b) plane strain state, (c) plane stress state, and (d) finite element mesh

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Fig. 2

Load pattern: (a) single underload, (b) periodic underloads, and (c) overload–underload pattern

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Fig. 3

Crack opening level versus crack increment (plane stress and node 1)

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Fig. 4

(a) Crack profile (plane stress, F = 40 N) and (b) contact forces at minimum load

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Fig. 5

(a) Crack opening levels for different single underloads and (b) difference between the constant amplitude values and the postunderload crack opening values

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Fig. 6

(a) Maximum decrease of crack opening level versus ΔKUL(=KminKUL) and (b) maximum decrease of crack opening level versus Kmax (plane stress)

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Fig. 7

Stabilization distance versus underload range, ΔKUL2 = KmaxKUL

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Fig. 8

Influence of hardening model on crack opening levels

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Fig. 9

Periodic underloads; UL_0_140_N100: (a) crack profile (40 µm between underloads, plane stress) and (b) contact stresses at minimum load

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Fig. 10

Crack opening level (five crack increments among underloads, plane stress, and node 1)

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Fig. 11

Underload after an overload: (a) crack opening levels (plane stress and node 1) and (b) variation of crack closure with the application of an underload

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Fig. 12

Crack opening values: (a) FEM results and (b) prediction model

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