journal article·2023-12Open access

On the effects of transformation strain induced by hydride precipitation

Masoud Taherijam, Saiedeh Marashi, Alireza Tondro, Hamidreza Abdolvand

Acta Materialia· Volume 261

Abstract

One of the main degradation mechanisms of the zirconium alloys used in nuclear reactors is hydrogen embrittlement and hydride formation. The formation of zirconium hydrides is accompanied by a transformation strain, the effects of which on the development of localized deformation zones are not well-understood. This study uses a crystal plasticity finite element model that is coupled with diffusion subroutines to quantify such effects. For this purpose, a zirconium specimen was hydrided in the absence of any external mechanical loads. With the use of electron backscatter diffraction, the rotation fields around interacting intragranular hydrides as well as those located at grain boundaries or triple points were measured at a high spatial resolution. The as-measured zirconium and hydride morphologies were mapped to the model for numerical simulation. Both numerical and experimental results show that hydride precipitation induces large rotation fields within the zirconium matrix, where such rotations are at their maximum in the vicinity of hydride tips. While the crystallographic orientations and shapes of hydrides affect the magnitude of rotation fields, both experimental and modeling results revealed the development of discrete and parallel geometrically necessary dislocation fields and a strong interaction among neighboring hydrides. It is shown that the stress field resulting from hydride precipitation affects the patterning of hydrogen distribution, which in return affects further hydride interlinking.
Source: openaire · Quality: candidate unverified · Source record ↗

Research context

OpenAlex topics: Nuclear Materials and Properties · Fusion materials and technologies · Nuclear reactor physics and engineering

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

References (90)

Show source-provided references
1. The hydrogen embrittlement of α-zirconium—a review10.1016/0022-5088(66)90003-8 ↗
2. Hydride-induced embrittlement and fracture in metals—effect of stress and temperature distribution10.1016/S0022-5096(01)00117-X ↗
3. Puls · 2012
4. Multi-physics modeling of delayed hydride cracking in zirconium alloys10.1016/j.jmps.2019.07.020 ↗
5. Elastically driven morphology of coherent trigonal precipitates inside a close-packed hexagonal matrix10.1016/j.actamat.2009.12.012 ↗
6. Hydride reorientation in Zr2.5Nb studied by synchrotron X-ray diffraction10.1016/j.actamat.2012.07.029 ↗
7. Zhao · 2008
8. Uncovering the hydride orientation-mediated hoop fatigue mechanism in a zirconium alloy cladding tube10.1016/j.ijplas.2022.103440 ↗
9. A phase-field model for hydride formation in polycrystalline metals: Application to δ-hydride in zirconium alloys10.1016/j.actamat.2019.09.047 ↗
10. Effect of external stress on hydride reorientation in zirconium10.1016/j.actamat.2022.118100 ↗
11. Formation path of δ hydrides in zirconium by multiphase field modeling10.1016/j.actamat.2016.10.056 ↗
12. Hydride precipitation and stresses in zircaloy-4 observed by synchrotron X-ray diffraction10.1016/j.actamat.2010.08.022 ↗
13. Hydrogen in zirconium alloys: a review10.1016/j.jnucmat.2019.02.042 ↗
14. A review on hydride precipitation in zirconium alloys10.1016/j.jnucmat.2015.07.014 ↗
15. Hydride formation in zirconium alloys10.1007/s11837-012-0479-x ↗
16. Dislocations generated by zirconium hydride precipitates in zirconium and some of its alloys10.1016/0022-3115(73)90023-8 ↗
17. Finite element calculations of the accommodation energy of a misfitting precipitate in an elastic-plastic matrix10.1007/BF02675557 ↗
18. The dilatational misfit of zirconium hydrides precipitated in zirconium10.1016/0022-3115(73)90022-6 ↗
19. Evaluating zirconium–zirconium hydride interfacial strains by nano-beam electron diffraction10.1016/j.jnucmat.2012.08.003 ↗
20. Strain evolution during hydride precipitation in Zircaloy-4 observed with synchrotron X-ray diffraction10.1016/j.jnucmat.2016.01.039 ↗
21. Microstructure characterization of a hydride blister in zircaloy-4 by EBSD and TEM10.1016/j.actamat.2017.03.016 ↗
22. Stress-reorientation of hydrides and hydride embrittlement of Zr–2.5 wt% Nb pressure tube alloy10.1016/j.jnucmat.2003.10.009 ↗
23. The orientation of zirconium hydride on grain boundaries in zircaloy-210.1016/0022-3115(67)90174-2 ↗
24. Plastic deformation of δ-zirconium hydride during micropillar compression10.1016/j.jnucmat.2023.154285 ↗
25. Investigation of δ zirconium hydride morphology in a single crystal using quantitative phase field simulations supported by experiments10.1016/j.jnucmat.2021.153303 ↗
26. Microstructure characterization of a hydride blister in zircaloy-4 by EBSD and TEM10.1016/j.actamat.2017.03.016 ↗
27. Intergranular δ-hydride nucleation and orientation in zirconium alloys10.1016/j.actamat.2011.07.054 ↗
28. Precipitation characteristics and distributions of subsurface hydrides in zirconium10.1016/j.actamat.2021.117146 ↗
29. Accurate determination of grain properties using three-dimensional synchrotron X-ray diffraction: a comparison with EBSD10.1016/j.matchar.2020.110753 ↗
30. Resolving local microstructure variations in Zr-2.5 Nb CANDU pressure tubes using high spatial resolution electron backscatter diffraction and imaging10.1016/j.jnucmat.2023.154321 ↗
31. Crystallographic orientation dependence of hydride precipitation in commercial pure titanium10.1016/j.actamat.2019.11.027 ↗
32. Role of grain/phase boundary nature on the formation of hydrides in Zr–2.5%Nb alloy10.1016/j.jnucmat.2011.04.003 ↗
33. Preferential precipitation of hydrides in textured zircaloy-4 sheets10.1016/j.jnucmat.2010.06.005 ↗
34. R.L. Beck, W.M. Mueller, Mechanical properties of solid zirconium hydride, 1960.
35. Fracture toughness of zirconium hydride and its influence on the crack resistance of zirconium alloys10.1016/0022-3115(79)90567-1 ↗
36. Anisotropic behavior and rupture of hydrided zircaloy-4 sheets10.1007/s11661-000-0010-9 ↗
37. Arsene · Metall. Mater. Trans. A · 2003 · 34 · 55310.1007/s11661-003-0091-3 ↗
38. Veleva · Metall. Mater. Trans. A · 2003 · 34 · 56710.1007/s11661-003-0092-2 ↗
39. In situ micropillar deformation of hydrides in Zircaloy-410.1016/j.actamat.2015.03.037 ↗
40. The effect of δ-hydride on the micromechanical deformation of a Zr alloy studied by in situ high angular resolution electron backscatter diffraction10.1016/j.scriptamat.2019.08.006 ↗
41. Slip–hydride interactions in zircaloy-4: multiscale mechanical testing and characterisation10.1016/j.actamat.2020.09.038 ↗
42. Tensile and low-cycle fatigue behaviors of commercially pure titanium containing γ hydrides10.1016/j.msea.2004.01.117 ↗
43. Threshold stress of hydride reorientation in zirconium alloy nuclear fuel cladding tubes: A theoretical determination10.1016/j.jnucmat.2022.153659 ↗
44. Dislocation interaction with hydrides in titanium containing a low hydrogen concentration10.1080/14786430310001623533 ↗
45. The deformation behaviors of gamma hydrides in titanium under cyclic straining10.1016/S1359-6454(02)00495-0 ↗
46. An investigation on structure, deformation and fracture of hydrides in titanium with a large range of hydrogen contents10.1016/j.actamat.2004.04.024 ↗
47. Solute hydrogen and hydride phase implications on the plasticity of zirconium and titanium alloys: a review and some recent advances
48. Atomic-scale ab initio study of the Zr–H system: II. Interaction of H with plane defects and mechanical properties10.1016/j.actamat.2003.11.031 ↗
49. Atomic-scale Ab-initio study of the Zr-H system: I. Bulk properties10.1016/S1359-6454(02)00173-8 ↗
50. A first principles investigation of the hydrogen-strain synergy on the formation and phase transition of hydrides in zirconium10.1016/j.actamat.2020.10.030 ↗
51. Onset of plasticity in zirconium in relation with hydrides precipitation10.1016/j.actamat.2016.05.025 ↗
52. A fast efficient multi-scale approach to modelling the development of hydride microstructures in zirconium alloys10.1016/j.commatsci.2021.110279 ↗
53. Dislocation modelling of the plastic relaxation and thermal ratchetting induced by zirconium hydride precipitation10.1016/j.jmps.2022.104988 ↗
54. Discrete dislocation modelling of δ hydrides in Zr: towards an understanding of the importance of interfacial stresses for crack initiation10.1016/j.jnucmat.2022.154091 ↗
55. Plasticity of zirconium hydrides: a coupled edge and screw discrete dislocation model10.1016/j.jmps.2020.104219 ↗
56. Quantifying the stress state in the vicinity of a δ-hydride in α-zirconium10.1016/j.jnucmat.2018.08.050 ↗
57. Discrete dislocation plasticity modeling of hydrides in zirconium under thermal cycling10.1557/adv.2017.452 ↗
58. Microstructure-interacting short crack growth in blocky alpha zircaloy-410.1016/j.ijplas.2020.102711 ↗
59. Simulation of crystal plasticity in irradiated metals: a case study on Zircaloy-410.1016/j.actamat.2022.118361 ↗
60. A non-local crystal plasticity constitutive model for hexagonal close-packed polycrystals10.1016/j.ijplas.2020.102883 ↗
61. Measurement and modeling of micro residual stresses in zirconium crystals in three dimension10.1016/j.jmps.2019.103799 ↗
62. 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 ↗
63. On the nucleation of deformation twins at the early stages of plasticity10.1016/j.actamat.2020.07.010 ↗
64. Development of microstructure-sensitive damage models for zirconium polycrystals10.1016/j.ijplas.2021.103156 ↗
65. Hydrogen concentration and hydrides in Zircaloy-4 during cyclic thermomechanical loading10.1016/j.actamat.2021.117368 ↗
66. Progressive modelling and experimentation of hydrogen diffusion and precipitation in anisotropic polycrystals10.1016/j.ijplas.2018.12.005 ↗
67. Simulation of hydrogen diffusion in fcc polycrystals
68. On the effects of texture and microstructure on hydrogen transport towards notch tips: a CPFE study10.1016/j.ijplas.2022.103234 ↗
69. Diffusion and redistribution of hydrogen atoms in the vicinity of localized deformation zones10.1016/j.mechmat.2022.104544 ↗
70. F. Bachmann, R. Hielscher, H. Schaeben, Texture analysis with MTEX–free and open source software toolbox, in: Solid State Phenomena, 2010: pp. 63–68.10.4028/www.scientific.net/SSP.160.63 ↗
71. Finite element analysis of crystalline solids10.1016/0045-7825(85)90014-3 ↗
72. Material rate dependence and localized deformation in crystalline solids10.1016/0001-6160(83)90014-7 ↗
73. Anisotropic hydrogen diffusion in α-Zr and zircaloy predicted by accelerated kinetic Monte Carlo simulations
74. Modelling the interactions of zirconium hydrides
75. Single-crystal elastic moduli and the hcp→ bcc transformation in Ti, Zr, and Hf10.1103/PhysRev.135.A482 ↗
76. Ab initio thermodynamics of zirconium hydrides and deuterides10.1016/j.commatsci.2014.01.043 ↗
77. Terminal solubility and partitioning of hydrogen in the alpha phase of zirconium, Zircaloy-2 and Zircaloy-410.1016/0022-3115(67)90047-5 ↗
78. The thermodynamics of hydride precipitation: the importance of entropy, enthalpy and disorder10.1016/j.actamat.2014.07.019 ↗
79. Atomic scale analysis of grain boundary deuteride growth front in Zircaloy-410.1016/j.scriptamat.2018.06.044 ↗
80. Quantification challenges for atom probe tomography of hydrogen and deuterium in Zircaloy-410.1017/S143192761801615X ↗
81. Precipitates in metals that dissolve on cooling and form on heating: An example with hydrogen in alpha-zirconium10.1016/j.jnucmat.2017.09.017 ↗
82. On potential core-shell morphologies of δ-hydride precipitates in zircaloy-2: a microstructural characterization approach by electron diffraction and energy-loss spectroscopy
83. Strain-gradient crystal plasticity finite element modeling of slip band formation in α-zirconium10.3390/cryst11111382 ↗
84. Resolving the geometrically necessary dislocation content by conventional electron backscattering diffraction10.1016/j.scriptamat.2008.01.050 ↗
85. Some geometrical relations in dislocated crystals10.1016/0001-6160(53)90054-6 ↗
86. Quantifying hydrogen concentration in the vicinity of zirconium hydrides and deformation twins10.1016/j.jmps.2020.104287 ↗
87. Microstructural study by XRD profile analysis and TEM observations on hydrided recrystallized zircaloy-4
88. Quantification of dislocations densities in zirconium hydride by X-ray line profile analysis10.1016/j.actamat.2016.06.058 ↗
89. Advanced characterization of hydrides in zirconium alloys
90. Transformation behavior of hydrides precipitated with or without stress in Zr-2.5 Nb investigated by in-situ S/TEM thermal cycling10.1016/j.jnucmat.2021.153428 ↗