journal article·2018-11Open access

Measuring fatigue crack deflections via cracking of constituent particles in AA7050 via in situ x-ray synchrotron-based micro-tomography

Stephen T. Carter, John Rotella, Ronald F. Agyei, Xiaghui Xiao, Michael D. Sangid

Abstract

Abstract Brittle constituent particles play a significant role in the fatigue behavior of 2XXX and 7XXX series aluminum alloys. In this work, in situ fatigue crack growth combined with x-ray synchrotron computed micro-tomography (μXSCT) characterization is used to observe and quantify three dimensional propagating fatigue cracks interacting with constituent particles. A relationship is observed with the size of the constituent particle ahead of the crack tip and the maximum distance the crack path deflects to interact with the particle. This crack deflection behavior agrees with the Murakami and Endo model, for the effect of small defects on fatigue performance. A stress field analysis, based on (i) an Eshelby inhomogeneity solution of a perfectly bonded particle, and (ii) a cracked particle, based on the Westergaard solution, indicates the stress concentration developed by the presence of a constituent particle contributes to crack path deflections. This finding has implications for modeling fatigue crack growth in AA7050-T7451, specifically in determining the actual crack length in terms of a tortuous crack topography, as opposed to a flat projected length.
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Research context

OpenAlex topics: Fatigue and fracture mechanics · Aluminum Alloy Microstructure Properties · Aluminum Alloys Composites Properties

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

References (82)

Show source-provided references
1. The role of inclusions in fatigue crack initiation in an aluminum alloy10.1007/BF00041859 ↗
2. Effects of defects, inclusions and inhomogeneities on fatigue strength10.1016/0142-1123(94)90001-9 ↗
3. Frost NE. A relation between the critical alternating propagation stress and crack length for mild steel. In: Proceedings of the institution of mechanical engineers 1959;173(1):811–36. .10.1243/PIME_PROC_1959_173_065_02 ↗
4. Geometrical parameter for the quantitative estimation of the effects of small defects on fatigue strength of metals10.1299/kikaia.49.127 ↗
5. Notch sensitivity
6. Kitagawa H, Takahashi S. Applicability of fracture mechanics to very small cracks or the cracks in the early stage. In: Second international conference on mechanical behavior of materials 1976; 627–31.
7. Initiation and early growth of fatigue cracks in an aerospace aluminum alloy10.1046/j.1460-2695.2002.00482.x ↗
8. Characterizations of pore and constituent particle populations in 7050–T7451 aluminum plate alloys
9. Three-dimensional characterization of fatigue-relevant intermetallic particles in high-strength aluminum alloys using synchrotron X-ray nanotomography10.1080/14786435.2015.1076940 ↗
10. Crack incubation in shot peened AA7050 and mechanism for fatigue enhancement10.1111/ffe.12652 ↗
11. A study of the effects of particle 3-dimensional geometry and micro-texture on fatigue crack initiation behaviors in an AlCu alloy using focused ion beam and electron backscatter diffraction10.1016/j.msea.2012.11.098 ↗
12. The effect of constituent particles in aluminum alloys on fatigue damage evolution: statistical observations10.1016/j.ijfatigue.2009.02.036 ↗
13. A geometric approach to modeling microstructurally small fatigue crack formation: I. Probabilistic simulation of constituent particle cracking in AA 7075-T65110.1088/0965-0393/16/6/065007 ↗
14. Crack deflection at an interface between dissimilar elastic materials10.1016/0020-7683(89)90021-8 ↗
15. Crack deflection processes - I. theory10.1016/0001-6160(83)90046-9 ↗
16. Stress intensity factors at the tips of kinked and forked cracks
17. Crack deflection: implications for the growth of long and short fatigue cracks10.1007/BF02663313 ↗
18. Fatigue crack deflection and fracture surface contact: micromechanical models10.1007/BF02816051 ↗
19. High resolution analysis of opening and sliding in fatigue crack growth10.1016/j.ijfatigue.2011.11.001 ↗
20. Understanding fatigue crack growth in aluminum alloys by in situ X-ray synchrotron tomography10.1016/j.ijfatigue.2012.06.009 ↗
21. Assessment of the fatigue crack closure phenomenon in damage-tolerant aluminum alloy by in-situ high-resolution synchrotron X-ray microtomography10.1080/1478643031000115754 ↗
22. A 3D measurement procedure for internal local crack driving forces via synchrotron X-ray microtomography10.1016/j.actamat.2003.11.014 ↗
23. Three-dimensional visualization of ductile fracture in an Al–Si alloy by high-resolution synchrotron X-ray microtomography10.1016/j.msea.2006.10.201 ↗
24. Local crack driving force analysis of a fatigue crack by a microstructural tracking method10.1016/j.scriptamat.2009.05.004 ↗
25. Three-dimensional fatigue crack growth behavior in an aluminum alloy investigated with in situ high-resolution synchrotron X-ray microtomography10.1016/j.actamat.2009.03.036 ↗
26. In situ observation of ductile fracture using X-ray tomography technique10.1016/j.actamat.2010.11.065 ↗
27. Three-dimensional strain mapping using in situ X-ray synchrotron microtomography10.1177/0309324711408975 ↗
28. Grain boundary tracking: a four-dimensional visualization technique for determining grain boundary geometry via local strain mapping10.1016/j.actamat.2013.06.013 ↗
29. High resolution X-ray tomography of micromechanisms of fatigue crack closure10.1016/j.scriptamat.2006.01.016 ↗
30. In situ experiments with X ray tomography: an attractive tool for experimental mechanics10.1007/s11340-010-9333-7 ↗
31. Three-dimensional characterization and modelling of small fatigue corner cracks in high strength Al-alloys10.1016/j.crhy.2011.12.005 ↗
32. Extraction of stress intensity factors for 3D small fatigue cracks using digital volume correlation and X-ray tomography10.1016/j.ijfatigue.2014.03.022 ↗
33. Corner fatigue cracking behavior of hybrid laser AA7020 welds by synchrotron X-ray computed microtomography10.1016/j.msea.2015.11.011 ↗
34. Direct observation of crack opening as a function of applied load in the interior of a notched tensile sample of Al-Li 209010.1016/S1359-6454(96)00311-4 ↗
35. Fatigue crack growth affected by metal fragments wedged between opening-closing crack surfaces
36. Fatigue crack closure under cyclic tension10.1016/0013-7944(70)90028-7 ↗
37. Elber W. The significance of fatigue crack closure. In: ASTM Special Technical Publication 1971;230. .10.1520/STP26680S ↗
38. A geometric model for fatigue crack closure induced by fracture surface roughness10.1007/BF02644803 ↗
39. New opportunities for 3D materials science of polycrystalline materials at the micrometre lengthscale by combined use of X-ray diffraction and X-ray imaging10.1016/j.msea.2009.04.009 ↗
40. Fatigue crack propagation: in situ visualization using X-ray microtomography and 3D simulation using the extended finite element method10.1016/j.actamat.2005.10.053 ↗
41. 3-D growth of a short fatigue crack within a polycrystalline microstructure studied using combined diffraction and phase-contrast X-ray tomography10.1016/j.actamat.2010.09.063 ↗
42. Strain profiling of fatigue crack overload effects using energy dispersive X-ray diffraction10.1016/j.ijfatigue.2005.06.022 ↗
43. Crack tip deformation fields and fatigue crack growth rates in Ti–6Al–4V10.1016/j.ijfatigue.2009.02.043 ↗
44. Strain tensor development in a single grain in the bulk of a polycrystal under loading10.1016/S1359-6454(02)00028-9 ↗
45. Determining grain resolved stresses in polycrystalline materials using three-dimensional X-ray diffraction10.1107/S0021889810012963 ↗
46. Far-field high-energy diffraction microscopy: a tool for intergranular orientation and strain analysis10.1177/0309324711405761 ↗
47. New opportunities for quantitative tracking of polycrystal responses in three dimensions10.1016/j.cossms.2014.11.003 ↗
48. Measuring the stress field around an evolving crack in tensile deformed Mg AZ31 using three-dimensional X-ray diffraction10.1016/j.actamat.2012.02.054 ↗
49. Investigation of fatigue crack initiation from a non-metallic inclusion via high energy x-ray diffraction microscopy10.1016/j.actamat.2017.07.027 ↗
50. Assessing reliability of fatigue indicator parameters for small crack growth via a probabilistic framework10.1088/1361-651X/aa6c45 ↗
51. Predicting the 3D fatigue crack growth rate of small cracks using multimodal data via Bayesian networks: in-situ experiments and crystal plasticity simulations10.1016/j.jmps.2018.03.007 ↗
52. Three-dimensional characterization of microstructurally small fatigue-crack evolution using quantitative fractography combined with post-mortem X-ray tomography and high-energy X-ray diffraction microscopy10.1016/j.actamat.2014.05.021 ↗
53. Energetics of residual dislocations associated with slip–twin and slip–GBs interactions10.1016/j.msea.2012.02.023 ↗
54. Nicolas A, Mello AW, Sun Y, Johnson D, Sangid MD. Evaluation of strain localization and subsurface uncertainty for rolled and cast columnar materials; 2018 (submitted for publication).
55. Effect of microstructure on strain localization in a 7050 aluminum alloy: comparison of experiments and modeling for various textures10.1016/j.msea.2016.03.012 ↗
56. The effect of strain localization on galvanic corrosion pitting in AA705010.5006/2729 ↗
57. E647–15E1 standard test method for measurement of fatigue crack growth rates
58. Family of crack-tip fields characterized by a triaxiality parameter—I. Structure of fields10.1016/0022-5096(91)90049-T ↗
59. The stress triaxiality constraint and the Q-value as a ductile fracture parameter10.1016/S0013-7944(97)00031-3 ↗
60. Fracture of austenitic steel subject to a wide range of stress triaxiality ratios and crack deformation modes10.1016/j.engfracmech.2007.03.021 ↗
61. Military handbook. MIL-HNDBK-5H Metallic materials and elements for aerospace vehicle structures. Defense Area Printing Service; 1988.
62. TomoPy: a framework for the analysis of synchrotron tomographic data10.1107/S1600577514013939 ↗
63. Developments in synchrotron x-ray computed microtomography at the national synchrotron light source10.1117/12.363725 ↗
64. X2: Rivers ML. Tomorecon: high-speed tomography reconstruction on workstations using multi-threading. In Proc. SPIE 2012; 8506, 85060U–85060U–13.10.1117/12.930022 ↗
65. NIH image to ImageJ: 25 years of image analysis10.1038/nmeth.2089 ↗
66. A threshold selection method from gray-level histograms10.1109/TSMC.1979.4310076 ↗
67. Abramoff M. Objective Measurement of Motion in the Orbit. University Medical Center Utrecht; 2001 [Ph.D. thesis].
68. Dougherty RP, Kunzelmann KH. Computing Local Thickness of 3D Structures with ImageJ; 2017.
69. Konrad Z. User's Guide – Avizo; 2017.
70. On the relationship between microstructure, strength and toughness in AA7050 aluminum alloy10.1016/S0921-5093(03)00145-X ↗
71. Damage tolerant design handbook. CINDAS/ Purdue University; 2003.
72. Development of the microstructure based stochastic life prediction model
73. Experimental studies into short crack growth10.1016/j.engfailanal.2011.03.012 ↗
74. Beyer · 1987
75. The determination of the elastic field of an ellipsoidal inclusion and related problems10.1098/rspa.1957.0133 ↗
76. Mura · 1987
77. Evaluation of the Eshelby solution for the ellipsoidal inclusion and heterogeneity10.1016/j.cageo.2011.07.008 ↗
78. 3D microstructural characterization and mechanical properties of constituent particles in Al 7075 alloys using X-ray synchrotron tomography and nanoindentation10.1016/j.jallcom.2014.03.010 ↗
79. Crack opening stress measurements of surface cracks in 7075–T6 Aluminum alloy plate specimen through electron fractography10.1111/j.1460-2695.1992.tb01274.x ↗
80. Bearing pressures and cracks10.1115/1.4008919 ↗
81. Mechanisms of fatigue crack propagation in metals, ceramics and composites: role of crack tip shielding10.1016/0025-5416(88)90547-2 ↗
82. Closure measurement and analysis for small cracks from natural discontinuities in an aluminum alloy10.1016/j.ijfatigue.2015.03.016 ↗