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Modeling of the microstructural behavior of hydrided zirconium alloys. (English) Zbl 1479.74020

Comput. Mech. 68, No. 3, 567-578 (2021); correction ibid. 68, No. 3, 579 (2021).
Summary: A multiphase microstructural system of two types of hydrides; f.c.c. \(\delta\) and b.c.c.. \(\varepsilon\) hydride precipitates within a parent h.c.p. zircaloy-4 parent matrix were modelled by a crystalline dislocation-density and a finite-element (FE) method that is specialized for large inelastic strains and nonlinear behavior. The different crystalline structure of the hydrides, the parent matrix, and the orientation relationships between the different crystalline phases have been accounted for and modeled with a validated FE approach. The effects of radial hydride factors, hydride volume fraction, hydride morphology, and hydride orientation and distribution on overall behavior were investigated. The predictions provide an understanding of why a distribution of circumferential hydrides have higher strength and ductility than a distribution of radial hydrides. Furthermore, zircaloy \(\delta\) (f.c.c.) hydride systems have less ductility and strength than the zircaloy \(\varepsilon\) (b.c.c.) systems.

MSC:

74C20 Large-strain, rate-dependent theories of plasticity
74A60 Micromechanical theories
74S05 Finite element methods applied to problems in solid mechanics
74-10 Mathematical modeling or simulation for problems pertaining to mechanics of deformable solids
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[1] Northwood, DO, The development and applications of zirconium alloys, Mater Des, 6, 2, 58-70 (1985)
[2] Hong, S.; Lee, K.; Kim, K., Effect of the circumferential hydrides on the deformation and fracture of zircaloy cladding tubes, J Nucl Mater, 303, 2-3, 169-176 (2002)
[3] Motta, AT, Hydrogen in zirconium alloys: a review, J Nucl Mater, 518, 440-460 (2019)
[4] Zikry, MA; Kao, M., Inelastic microstructural failure mechanisms in crystalline materials with high angle grain boundaries, J Mech Phys Solids, 44, 11, 1765-1798 (1996)
[5] Shanthraj, P.; Zikry, MA, Dislocation density evolution and interactions in crystalline materials, Acta Mater, 59, 20, 7695-7702 (2011)
[6] Chung H, Daum R, Hiller J, Billone M. Characteristics of hydride precipitation and reorientation in spent-fuel cladding. In: Zirconium in the nuclear industry: thirteenth international symposium, 100 barr harbor drive, PO box C700, West Conshohocken, PA, 19428-2959: ASTM International, 561-561-22
[7] Ziaei, S.; Wu, Q.; Zikry, MA, Orientation relationships between coherent interfaces in hcp-fcc systems subjected to high strain-rate deformation and fracture modes, J Mater Res, 30, 15, 2348-2359 (2018)
[8] Lee, JM; Kim, HA; Kook, DH; Kim, YS, A study on the effects of hydrogen content and peak temperature on threshold stress for hydride reorientation in Zircaloy-4 cladding, J Nucl Mater, 509, 285-294 (2018)
[9] Colas, KB; Motta, AT; Daymond, MR; Almer, JD, Effect of thermo-mechanical cycling on zirconium hydride reorientation studied in situ with synchrotron X-ray diffraction, J Nucl Mater, 440, 1-3, 586-595 (2013)
[10] Motta, AT; Couet, A.; Comstock, RJ, Corrosion of zirconium alloys used for nuclear fuel cladding, Annu Rev Mater Res, 45, 1, 311-343 (2015)
[11] Puls, MP, The Effect of hydrogen and hydrides on the integrity of zirconium alloy compounds delayed hydride cracking (2012), London: Springer, London
[12] Long, F.; Kerr, D.; Domizzi, G.; Wang, Q.; Daymond, MR, Microstructure characterization of a hydride blister in Zircaloy-4 by EBSD and TEM, Acta Mater, 129, 450-461 (2017)
[13] Wang, S.; Giuliani, F.; Ben Britton, T., Microstructure and formation mechanisms of δ-hydrides in variable grain size Zircaloy-4 studied by electron backscatter diffraction, Acta Mater, 169, 76-87 (2019)
[14] Westlake, DGG, The habit planes of zirconium hydride in zirconium and zircaloy, J Nucl Mater, 26, 2, 208-216 (1968)
[15] Liu, Y.; Peng, Q.; Zhao, W.; Jiang, H., Hydride precipitation by cathodic hydrogen charging method in zirconium alloys, Mater Chem Phys, 110, 1, 56-60 (2008)
[16] Une, K., Crystallography of zirconium hydrides in recrystallized zircaloy-2 fuel cladding by electron backscatter diffraction, J Nucl Sci Technol, 41, 7, 731-740 (2004)
[17] Burgers, WG, On the process of transition of the cubic-body-centered modification into the hexagonal-close-packed modification of zirconium, Physica, 1, 7-12, 561-586 (1934)
[18] Zikry, MAA, An accurate and stable algorithm for high strain-rate finite strain plasticity, Comput Struct, 50, 3, 337-350 (1994) · Zbl 0847.73072
[19] Rico, A.; Martin-Rengel, MA; Ruiz-Hervias, J.; Rodriguez, J.; Gomez-Sanchez, FJ, Nanoindentation measurements of the mechanical properties of zirconium matrix and hydrides in unirradiated pre-hydrided nuclear fuel cladding, J Nucl Mater, 452, 1-3, 69-76 (2014)
[20] Kubo, T.; Kobayashi, Y.; Uchikoshi, H., Determination of fracture strength of δ-zirconium hydrides embedded in zirconium matrix at high temperatures, J Nucl Mater, 435, 1-3, 222-230 (2013)
[21] Xu, F.; Holt, RA; Daymond, MR, Modeling texture evolution during uni-axial deformation of Zircaloy-2, J Nucl Mater, 394, 1, 9-19 (2009)
[22] Ziaei, S.; Zikry, MA, Modeling the effects of dislocation-density interaction, generation, and recovery on the behavior of h.c.p. materials, Metall Mater Trans A, 46, 10, 4478-4490 (2015)
[23] Kim, J-SS-S; Kim, T-H-HH; Kook, D-HH-H; Kim, Y-SS-S, Effects of hydride morphology on the embrittlement of Zircaloy-4 cladding, J Nucl Mater, 456, 235-245 (2015)
[24] Billone, MCC; Burtseva, TAA; Einziger, REE, Ductile-to-brittle transition temperature for high-burnup cladding alloys exposed to simulated drying-storage conditions, J Nucl Mater, 433, 1-3, 431-448 (2013)
[25] Hong, SII; Lee, KWW, Stress-induced reorientation of hydrides and mechanical properties of Zircaloy-4 cladding tubes, J Nucl Mater, 340, 2-3, 203-208 (2005)
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