Phase-field modeling of hydride reorientation in zirconium cladding materials under applied stress

Shin, Wooseob; Chang, Kunok

doi:10.1016/j.commatsci.2020.109775

Cited by 14 publications

(5 citation statements)

References 27 publications

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“…The average growth rate of the hydride has an opposite trend to the elastic interaction energy in both vertical and horizontal directions, which is consistent with the effect of the elastic interaction energy on the interface moving velocity in Eq. (38). From Fig.…”

Section: Effect Of the Loss Of Interfacial Coherencymentioning

confidence: 97%

“…Heo et al [11] developed a polycrystalline PF model considering the loss of the interfacial coherency and the grain boundary segregation to investigate δ -hydride growth behavior. Additionally, Lin et al [37] and Shin et al [38] examined the reorientation behavior of δ -hydrides under applied stress fields. Simon et al [39] developed a quantitative PF model for δ -hydrides and analyzed the role of anisotropic elastic interaction on hydride stacking and reorientation.…”

Section: Introductionmentioning

confidence: 99%

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Phase-field simulations of the effect of temperature and interface for zirconium δ-hydrides

Chen 陈,

Sheng 盛,

Liu 刘

et al. 2024

Chinese Phys. B

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Hydride precipitation in zirconium cladding materials can damage their integrity and durability. Service temperature and material defects have a significant effect on the dynamic growth of hydrides. In this study, we have developed a phase-field model based on the assumption of elastic behaviour within a specific temperature range (613 - 653 K). This model allows us to study the influence of temperature and interfacial effects on the morphology, stress, and average growth rate of zirconium hydride. The results suggest that changes in temperature and interfacial energy influence the length-to-thickness ratio and average growth rate of the hydride morphology. The ultimate determinant of hydride orientation is the loss of interfacial coherency, primarily induced by interfacial dislocation defects and quantifiable by the mismatch degree q. An escalation in interfacial coherency loss leads to a transition of hydride growth from horizontal to vertical, accompanied by the onset of redirection behaviour. Interestingly, redirection occurs at a critical mismatch level, denoted q c , and remains unaffected by variations in temperature and interfacial energy. However, this redirection leads to an increase in the maximum stress, which may influence the direction of hydride crack propagation. This research highlights the importance of interfacial coherency and provides valuable insights into the morphology and growth kinetics of hydrides in zirconium alloys.

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Section: Effect Of the Loss Of Interfacial Coherencymentioning

confidence: 97%

Section: Introductionmentioning

confidence: 99%

Phase-field simulations of the effect of temperature and interface for zirconium δ-hydrides

Chen 陈,

Sheng 盛,

Liu 刘

et al. 2024

Chinese Phys. B

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“…The phase-field method has been widely used to simulate the microstructure of hydride in zirconium alloy [25][26][27][28][29]. Usually, the majority of research on stress-induced (internal stress and external load) nucleation, growth, stacking, and reorientation behavior of δ hydrides [30][31][32][33]. However, these theoretical achievements were based on a coherent interface between the precipitate phase and the matrix phase.…”

Section: Introductionmentioning

confidence: 99%

Phase-Field Simulation of δ Hydride Precipitation with Interfacial Anisotropy

Nie,

Shi,

Yang

et al. 2023

CMC

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Previous studies of δ hydride in zirconium alloys have mainly assumed an isotropic interface. In practice, the difference in crystal structure at the interface between the matrix phase and the precipitate phase results in an anisotropic interface. With the purpose of probing the real evolution of δ hydrides, this paper couples an anisotropy function in the interfacial energy and interfacial mobility. The influence of anisotropic interfacial energy and interfacial mobility on the morphology of δ hydride precipitation was investigated using the phase-field method. The results show that the isotropy hydride precipitates a slate-like morphology, and the anisotropic δ hydride precipitates at the semi-coherent and non-coherent interfaces exhibited parallelogram-like and needle-like, which is consistent with the actual experimental morphology. Compared with the coherent interface, the semi-coherent or non-coherent interface adjusts the lattice mismatch, resulting in lower gradient energy that is more consistent with the true interfacial state. Simultaneously, an important chain of relationships is proposed, in the range of I x < I y < 1.5I x (I y < I x or I y > 1.5I x ), with the increase of the anisotropic mobility I y in the y-axis, the gradient energy increases (decreases), the tendency of the non-coherent (semi-coherent) relationship at the interface, and the precipitation rate of hydride decreases (increases). Furthermore, the inhomogeneous stress distribution around the hydride leads to a localized enrichment of the hydrogen concentration, producing a hydride tip. The study of interfacial anisotropy is informative for future studies of δ hydride precipitation orientation and properties.

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“…Zirconium (Zr) is a key material in nuclear engineering because of its small neutron absorption cross-section and excellent oxidation resistance [1][2][3]. The main risk of Zr-based materials in the nuclear system is hydride-induced degradation, such as hydride precipitation [4], hydride reorientation [5][6][7] and delayed hydride cracking [8]. Therefore, it is extremely important to understand the interaction between Zr species and their hydrides to ensure the safety of nuclear systems.…”

Section: Introductionmentioning

confidence: 99%

“…The original theory describes the interaction between a spherical particle and an isotropic grain boundary [9]. For the case of δ zirconium hydride, which is platelet-shaped [5,10], we need to understand the interaction between a grain boundary with highly anisotropically shaped particles. The interaction between a grain boundary and ellipsoidal particles was estimated by an analytic method [11] and numerical simulations [12,13].…”

Section: Introductionmentioning

confidence: 99%

Effect of Number of Variants of Zirconium Hydride on Grain Growth of Zirconium

Yoon

Chang

2020

Metals

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The microstructure characteristics of Zr-hydride in Zr are important concerns in metallurgy and nuclear engineering. In particular, it is known that the correlation between hydride and the grain boundary microstructure has a great influence on properties. In this study, a phase-field model was used to evaluate evolutions of the fractions of intra-granular and inter-granular hydride and multi-contacted hydride according to the number of structural variants of δ-hydride in the 3D system. The effect of the numbers of crystallographic variants of hydride on grain growth kinetics was also analyzed. We found that the pinning effect in 3D is minimized when hydrides have one crystallographic variant, which is contradictory observation with the 2D case. With grain structures with comparable average grain radii and quantities, we found that the fraction of the intra-granular and inter-granular hydrides increase as the number of crystallographic variants increases.

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Phase-field modeling of hydride reorientation in zirconium cladding materials under applied stress

Cited by 14 publications

References 27 publications

Phase-field simulations of the effect of temperature and interface for zirconium δ-hydrides

Phase-field simulations of the effect of temperature and interface for zirconium δ-hydrides

Phase-Field Simulation of δ Hydride Precipitation with Interfacial Anisotropy

Effect of Number of Variants of Zirconium Hydride on Grain Growth of Zirconium

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