A phase-field model of quasi-brittle fracture for pressurized cracks: Application to UO2 high-burnup microstructure fragmentation

Jiang, Wen; Hu, Tianchen; Aagesen, Larry Kenneth; Biswas, Sudipta; Gamble, Kyle A.

doi:10.1016/j.tafmec.2022.103348

Title: A phase-field model of quasi-brittle fracture for pressurized cracks: Application to UO 2 high-burnup microstructure fragmentation

Journal Article · Thu Apr 21 00:00:00 EDT 2022 · Theoretical and Applied Fracture Mechanics

DOI:https://doi.org/10.1016/j.tafmec.2022.103348· OSTI ID:1975815

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Idaho National Laboratory (INL), Idaho Falls, ID (United States)
Duke Univ., Durham, NC (United States)

Here, in this paper, we present a phase-field model of quasi-brittle fracture with pressurized cracks, with dedicated applications for polycrystalline materials. The model is formulated as a minimization problem within the variational framework. The external work done by pressure on the crack surfaces is included in the objective function. Several careful modeling choices lead to a regularization-length-independent critical strength. The model is constructed to give a softening response with an underlying linear traction-separation law. The pressure-dependent softening response and the regularization of the prescribed pressure are demonstrated with a (quasi) one-dimensional numerical analysis. In a two-dimensional numerical analysis under plane strain assumptions, the critical stress corresponding to crack propagation (as predicted by our quasi-brittle fracture model) is compared with linear elastic fracture mechanics (LEFM) analytical solutions. Our model is further utilized to simulate fission-gas-induced fragmentation of the UO₂ high-burnup structure (HBS). Simulation results show that pressurized bubbles can cause crack nucleation and propagation, and that the bubble size and the surrounding external pressure affect the critical pressure corresponding to crack nucleation. Simulations of a partial HBS at different recrystallization stages show that different grain structures (due to recrystallization) also influence crack paths and fragmentation morphology.

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Research Organization:: Idaho National Laboratory (INL), Idaho Falls, ID (United States)

Sponsoring Organization:: USDOE Office of Nuclear Energy (NE)

Grant/Contract Number:: AC07-05ID14517

OSTI ID:: 1975815

Report Number(s):: INL/JOU-21-61836-Rev000; TRN: US2400004

Journal Information:: Theoretical and Applied Fracture Mechanics, Vol. 119; ISSN 0167-8442

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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Title: A phase-field model of quasi-brittle fracture for pressurized cracks: Application to UO 2 high-burnup microstructure fragmentation

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