journal article·2024-01

Evolution of in-plane strain fields onset of a plastically deforming crack in zirconium

Ronit Roy, Matthew Topping, Mark R. Daymond

Acta Materialia· Volume 263
Publisher page

Abstract

Understanding the fracture behaviour of a material is essential for the sustainable design of structural components. The complex nature of microscale mechanical testing techniques makes identifying the fracture behaviour experimentally challenging at a microscopic scale. Validating microscale simulations with experimental studies can be difficult using traditional experimental techniques. High-resolution digital image correlation combined with electron backscatter diffraction describes the total in-plane deformation field at a microstructural scale, which can be compared against finite element models for verification. The present study determines the in-plane strain distribution ahead of a plastically deforming crack during an in-situ experiment. A crystal plasticity-based finite element model is used to simulate the experimental crack tip behaviour, after which quantitative and qualitative comparisons are made. A concentration of normal strains ahead of the crack tip is observed in both experimental and simulated results, defining the fracture process zone. Slip localization behaviour around the crack is also evaluated using Schmid factor analysis. A good correlation between the experimental slip bands and theoretical predictions has been observed. The strain path dependence on slip activation is also identified. Strain localization in deforming zirconium is initially limited with dense and low-intensity slip occurring up to a maximum in-plane shear strain of 0.2. Formation of well-defined equidistant slip bands occurs with further deformation. Equidistant slip bands are observed for prismatic and pyramidal slip systems, having an interplane distance of ∼0.60±0.05 µm and ∼0.46±0.04 µm, respectively.
Source: expertdata · Quality: candidate unverified · Source record ↗

Research context

OpenAlex topics: Microstructure and mechanical properties · High-Velocity Impact and Material Behavior · Fatigue and fracture mechanics

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

References (95)

Show source-provided references
1. Crack propagation path selection and plastic deformation at a crack tip in zirconium10.1016/j.msea.2020.139143 ↗
2. Plastic zone near a crack and fracture toughness. In: mechanical and metallurgical behavior of sheet materials
3. Fracture of cracked plates under plane stress10.1016/0013-7944(68)90021-0 ↗
4. Plastic stress and strain fields at a crack tip10.1016/0022-5096(68)90021-5 ↗
5. Plastic strains and energy density in cracked plates10.1007/BF02323544 ↗
6. Slip, twinning, and fracture in hexagonal close-packed metals10.1007/BF02648537 ↗
7. Modeling texture, twinning and hardening evolution during deformation of hexagonal materials10.1016/j.actamat.2006.11.017 ↗
8. Electron microscope studies of dislocations in deformed zirconium10.1016/0022-3115(62)90247-7 ↗
9. Schmid's law and prismatic slip of zirconium10.1016/0036-9748(75)90571-2 ↗
10. High strain rate properties of metals and alloys10.1179/174328008X277795 ↗
11. Temperature dependence of the activity of deformation modes in an HCP zirconium alloy10.1007/s11661-013-1758-z ↗
12. Strain rate and temperature effects on the selection of primary and secondary slip and twinning systems in HCP Zr10.1016/j.actamat.2015.01.037 ↗
13. Dislocation evolution at a crack-tip in a hexagonal close packed metal under plane-stress conditions10.1016/j.actamat.2018.10.022 ↗
14. Basal slip in zirconium10.1016/0001-6160(73)90213-7 ↗
15. Compression of zirconium single crystals parallel to the10.1016/0022-3115(73)90189-X ↗
16. Review of deformation mechanisms, texture, and mechanical anisotropy in zirconium and zirconium base alloys10.1520/JAI12945 ↗
17. Mode I fracture testing validation on non-plane strain zirconium foils10.1016/j.engfracmech.2019.01.019 ↗
18. Mapping of crack tip strains and twinned zone in a hexagonal close packed zirconium alloy10.1016/j.actamat.2009.10.064 ↗
19. 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 ↗
20. HR-EBSD analysis of in situ stable crack growth at the micron scale10.1016/j.jmps.2022.105173 ↗
21. Measurement of geometrically necessary dislocation density with high resolution electron backscatter diffraction: effects of detector binning and step size10.1016/j.ultramic.2012.11.003 ↗
22. Assessing the precision of strain measurements using electron backscatter diffraction – part 1: detector assessment10.1016/j.ultramic.2013.08.005 ↗
23. Assessing the precision of strain measurements using electron backscatter diffraction – Part 2: experimental demonstration10.1016/j.ultramic.2013.08.006 ↗
24. Two-dimensional digital image correlation for in-plane displacement and strain measurement: a review10.1088/0957-0233/20/6/062001 ↗
25. Plastic strain mapping with sub-micron resolution using digital image correlation10.1007/s11340-012-9685-2 ↗
26. Measurement of residual elastic strain and lattice rotations with high resolution electron backscatter diffraction10.1016/j.ultramic.2011.05.007 ↗
27. A review of strain analysis using electron backscatter diffraction10.1017/S1431927611000055 ↗
28. On the effects of reorientation and shear transfer during twin formation: comparison between high resolution electron backscatter diffraction experiments and a crystal plasticity finite element model10.1016/j.ijplas.2016.05.006 ↗
29. A statistical study of the relationship between plastic strain and lattice misorientation on the surface of a deformed Ni-based superalloy10.1016/j.actamat.2020.05.029 ↗
30. Deformation compatibility in a single crystalline Ni superalloy
31. Slip localization and fatigue crack nucleation near a non-metallic inclusion in polycrystalline nickel-based superalloy10.1016/j.msea.2015.06.070 ↗
32. Deformation mechanisms in a superelastic NiTi alloy: an in-situ high resolution digital image correlation study10.1016/j.matdes.2020.108622 ↗
33. Measurement and prediction of the transformation strain that controls ductility and toughness in advanced steels10.1016/j.actamat.2020.08.028 ↗
34. Microstructurally sensitive crack nucleation around inclusions in powder metallurgy nickel-based superalloys10.1016/j.actamat.2016.07.023 ↗
35. Effect of nanoscale α2 precipitation on strain localisation in a two-phase Ti-alloy10.1016/j.actamat.2017.02.068 ↗
36. Multi-modal dataset of a polycrystalline metallic material: 3D microstructure and deformation fields10.1038/s41597-022-01525-w ↗
37. Study on the compressive deformation behavior of a basal textured AZ31 magnesium alloy from the perspective of local strain10.1016/j.msea.2022.143080 ↗
38. Slip localization behavior at triple junctions in nickel-base superalloys10.1016/j.actamat.2023.118801 ↗
39. Slip localization in Inconel 718: a three-dimensional and statistical perspective10.1016/j.actamat.2021.117037 ↗
40. Comparison of sub-grain scale digital image correlation calculated using commercial and open-source software packages10.1016/j.matchar.2020.110271 ↗
41. Slip–hydride interactions in Zircaloy-4: multiscale mechanical testing and characterisation10.1016/j.actamat.2020.09.038 ↗
42. The role of hydrides and precipitates on the strain localisation behaviour in a zirconium alloy10.1016/j.actamat.2023.119327 ↗
43. Characterisation of irradiation enhanced strain localisation in a zirconium alloy
44. The effect of loading direction on slip and twinning in an irradiated zirconium alloy
45. Detecting irradiation-induced strain localisation on the microstructural level by means of high-resolution digital image correlation10.1016/j.jnucmat.2023.154410 ↗
46. Crack nucleation using combined crystal plasticity modelling, high-resolution digital image correlation and high-resolution electron backscatter diffraction in a superalloy containing non-metallic inclusions under fatigue
47. Quantitative investigation of micro slip and localization in polycrystalline materials under uniaxial tension10.1016/j.ijplas.2018.04.014 ↗
48. Toward predictive understanding of fatigue crack nucleation in Ni-based superalloys10.1007/s11837-017-2307-9 ↗
49. Slip band interactions and GND latent hardening in a galling resistant stainless steel10.1016/j.msea.2021.141176 ↗
50. Incorporating grain-level residual stresses and validating a crystal plasticity model of a two-phase Ti-6Al-4 V alloy produced via additive manufacturing10.1016/j.jmps.2018.07.025 ↗
51. Crystal plasticity modelling and HR-DIC measurement of slip activation and strain localization in single and oligo-crystal Ni alloys under fatigue10.1016/j.ijplas.2016.10.001 ↗
52. Development of grain-scale slip activity and lattice rotation fields in Inconel 71810.1016/j.actamat.2022.117627 ↗
53. Simulation of crystal plasticity in irradiated metals: a case study on Zircaloy-410.1016/j.actamat.2022.118361 ↗
54. Enabling high resolution strain mapping in zirconium alloys10.1016/j.matchar.2018.03.014 ↗
55. Yield point of crystals, critical shear stress law
56. Fatigue and fracture properties of thin metallic foils10.1023/A:1007630813025 ↗
57. A robust patterning technique for electron microscopy-based digital image correlation at sub-micron resolutions10.1007/s11340-019-00487-2 ↗
58. Poole · 2023
59. In-situ assessment of microscale crack tip fields in zirconium
60. Ncorr: open-source 2D digital image correlation matlab software10.1007/s11340-015-0009-1 ↗
61. Incremental calculation for large deformation measurement using reliability-guided digital image correlation10.1016/j.optlaseng.2011.05.005 ↗
62. Reliability-guided digital image correlation for image deformation measurement10.1364/AO.48.001535 ↗
63. Full-field strain measurement using a two-dimensional Savitzky-Golay digital differentiator in digital image correlation10.1117/1.2714926 ↗
64. Single-Crystal Elastic Moduli and the hcp → bcc Transformation in Ti, Zr, and Hf10.1103/PhysRev.135.A482 ↗
65. Incorporation of twinning into a crystal plasticity finite element model: evolution of lattice strains and texture in Zircaloy-210.1016/j.ijplas.2011.04.005 ↗
66. Multi-scale modeling and experimental study of twin inception and propagation in hexagonal close-packed materials using a crystal plasticity finite element approach—Part I: average behavior10.1016/j.jmps.2012.10.013 ↗
67. Internal strain and texture development during twinning: comparing neutron diffraction measurements with crystal plasticity finite-element approaches10.1016/j.actamat.2012.01.016 ↗
68. Crystal plasticity10.1115/1.3167205 ↗
69. Overview no. 42 Texture development and strain hardening in rate dependent polycrystals10.1016/0001-6160(85)90188-9 ↗
70. Blaber · 2017
71. An experimental study of the polycrystalline plasticity of austenitic stainless steel10.1016/j.ijplas.2015.05.012 ↗
72. Fatigue crack tip deformation processes as influenced by the environment10.1007/BF02646014 ↗
73. Hibbeler · 2011
74. A probabilistic twin nucleation model for HCP polycrystalline metals10.1098/rspa.2009.0661 ↗
75. Study of 3-D stress development in parent and twin pairs of a hexagonal close-packed polycrystal: part I – in-situ three-dimensional synchrotron X-ray diffraction measurement10.1016/j.actamat.2015.04.020 ↗
76. Identification of active slip mode in a hexagonal material by correlative scanning electron microscopy10.1016/j.actamat.2019.06.024 ↗
77. How magnesium accommodates local deformation incompatibility: a high-resolution digital image correlation study10.1016/j.actamat.2017.05.040 ↗
78. Comparison of electron backscatter and X-ray diffraction techniques for measuring dislocation density in Zircaloy-210.1107/S1600576719003054 ↗
79. On the westergaard method of crack analysis10.1007/BF00184559 ↗
80. Bearing pressures and cracks: bearing pressures through a slightly waved surface or through a nearly flat part of a cylinder, and related problems of cracks10.1115/1.4008919 ↗
81. Plane strain deformation near a crack tip in a power-law hardening material10.1016/0022-5096(68)90013-6 ↗
82. Anisotropic yield function of hexagonal materials taking into account texture development and anisotropic hardening10.1016/j.actamat.2006.05.009 ↗
83. The physics of plastic deformation10.1016/0749-6419(87)90021-0 ↗
84. Influence of plastic deformation heterogeneity on development of geometrically necessary dislocation density in dual phase steel10.1016/j.msea.2016.05.022 ↗
85. The deformation of plastically non-homogeneous materials10.1080/14786437008238426 ↗
86. In situ EBSD/HR-DIC-based investigation on anisotropy mechanism of a near α titanium plate with strong transverse texture10.1016/j.msea.2023.144743 ↗
87. A comparative assessment of iron and cobalt-based hard-facing alloy deformation using HR-EBSD and HR-DIC10.1016/j.actamat.2018.08.021 ↗
88. Strain localization and damage in dual phase steels investigated by coupled in-situ deformation experiments and crystal plasticity simulations10.1016/j.ijplas.2014.06.004 ↗
89. The combined and interactive effects of orientation, strain amplitude, cycle number, stacking fault energy and hydrogen doping on microstructure evolution of polycrystalline high-manganese steels under low-cycle fatigue10.1016/j.ijplas.2020.102803 ↗
90. Active Slip System Identification in Polycrystalline Metals by Digital Image Correlation (DIC)10.1007/s11340-016-0217-3 ↗
91. Slip band characteristics in the presence of grain boundaries in nickel-based superalloy10.1016/j.actamat.2020.04.037 ↗
92. 〈a〉 Prismatic, 〈a〉 basal, and 〈c+a〉 slip strengths of commercially pure Zr by micro-cantilever tests10.1016/j.actamat.2015.06.020 ↗
93. Mechanical behavior of polycrystals: coupled in situ DIC-EBSD analysis of pure copper under tensile test10.1016/j.matchar.2022.112322 ↗
94. Measurement of elastic and rotation fields during irreversible deformation using Heaviside-digital image correlation10.1016/j.matchar.2020.110600 ↗
95. Origin and Spacing of Slip Bands10.1038/147452a0 ↗