Three-dimensional peridynamic modeling of crack initiation and propagation in bulk superconductor during field cooling magnetization

Shen, Huiting; Ru, Yanyun; Wu, Hao; Hu, Xiaokun; Yong, Huadong; Zhou, Youhe

doi:10.1088/1361-6668/ac04ba

Cited by 13 publications

(9 citation statements)

References 67 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Subsequently, according to strain measurement results, Takahashi [7] and Namba [17] constructed 2D and 3D numerical models to analyze the fracture behavior of HTS bulk and further considered the effect of the real structure of the mechanical support apparatus. Recently, apart from the FEM, the extended finite element method (XFEM) [18,19], peridynamics (PDs) [20,21], and phase-field method [22,23], the theories of fracture mechanics, were also gradually employed in the structural failure analysis of bulk materials caused by crack propagation.…”

Section: Introductionmentioning

confidence: 99%

“…In addition, based on the r-z plane spatial J c inhomogeneity method, the electromagnetic-mechanical coupling behavior of many high-field bulk material application devices, such as high-gradient trapped field magnet (HG-TFM) [48], staggered-array bulk HTS undulator [30,49], nuclear magnetic resonance (NMR) spectrometer [50] and a magnetic resonance imaging (MRI) apparatus [51], and others, can be simulated more precisely. Many complex HTS bulk material structure failure simulation modes, such as fracture, crack initiation, and propagation [19,21], may also achieve better agreement with experimental phenomena.…”

mentioning

confidence: 99%

See 1 more Smart Citation

R-z plane spatial critical current inhomogeneity-induced mechanical response of GdBCO superconducting bulks during field cooling magnetization

Hu,

Yang,

Zhou

et al. 2024

Phys. Scr.

View full text Add to dashboard Cite

Benefiting from the high critical current density (Jc), single-grain (RE)BCO (where RE = rare earth or Gd) bulks are capable of trapping over 17.6 T magnetic field which is crucial for the application of bulk superconductors. Nevertheless, during field cooling magnetization (FCM), the large mechanical stress induced by Lorentz forces may lead to fracture behavior in the brittle ceramic nature of (RE)BCO materials. Most previous numerical models that adopted simplified homogeneous Jc had difficulty reflecting the real stress/strain situation in high temperature superconductor (HTS) bulks. Based on the proposed modified Jirsa model considering r-z plane Jc inhomogeneity, we investigate the mechanical response of GdBCO bulks manufactured by top-seeded melt growth (TSMG) process. A 2D axisymmetric electromagnetic-thermal-mechanical coupled model is implemented to take into account the dependence of Jc upon mechanical deformation. The simulation results show the electromagnetic-thermal-mechanical response of the r-z plane inhomogeneous Jc model is significantly lower than that obtained by the homogeneous Jc model. This confirms Takahashi's speculation (K Takahashi 2019 Supercond. Sci. Technol. 32 015007) about the mismatch between experimental data and the simulation results of homogeneous Jc model, and suggests the stress levels in the bottom plane of HTS bulk are overestimated by the previous homogeneous Jc model. On top of that, the overall stress level of GdBCO bulk is strongly determined by the magnitude and position of the Lorentz force load, and the stress distribution of inhomogeneous Jc model is mainly concentrated in high Jc regions near top surface, instead of being symmetrically distributed along the z-axis as in homogeneous Jc model. The mechanical response of stainless steel reinforced GdBCO bulk under two different constraint conditions was analyzed and compared. Finally, the coupling effect between the fracture strength variability caused by defects and cracks and the trapped field in GdBCO bulks with r-z plane Jc inhomogeneity is further studied. This study may provide a relatively realistic mechanical response of HTS bulk during FCM, and a novel design consideration for its mechanical reinforcement.

show abstract

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

R-z plane spatial critical current inhomogeneity-induced mechanical response of GdBCO superconducting bulks during field cooling magnetization

Hu,

Yang,

Zhou

et al. 2024

Phys. Scr.

View full text Add to dashboard Cite

show abstract

“…The magnetic-thermal characteristics and mechanical stress of an REBCO superconducting bulk material with an inhomogeneous critical current density during PFM were analyzed by Wu et al [62] and Hirano et al [63]. In addition, cracks in the bulk can propagate under complicated electromagnetic and mechanical loadings [64][65][66]. The coupled magnetic-thermal model and phase-field fracture model were proposed to simulate the flux jump and mechanical failure behaviors of bulk superconductors during PFM [67].…”

Section: Introductionmentioning

confidence: 99%

Flux jump and mechanical response in inhomogeneous high-temperature superconductor under the pulsed-field magnetization

Wang,

Wu,

Yong

2023

Supercond. Sci. Technol.

Self Cite

View full text Add to dashboard Cite

The high-temperature bulk superconductors with high critical current density are brittle, and can be damaged by large Lorentz forces and thermal stress during magnetization. Several studies have reported the failure of bulk superconductors during flux jumps. In this study, we analyzed the magnetization characteristics and mechanical response of the HTS bulk with inhomogeneous current density along the c-axis. The numerical simulation was consistent with the experimental results presented in the reference. Moreover, a flux jump occurred near the area of the pre-arrangement flux during the second pulsed field magnetization. The maximum temperature is lower than the critical temperature during the flux jump. In the mechanical analysis, the flux jump led to an abrupt change in the maximum stress of the bulk, and the maximum radial stress was significantly higher than the maximum hoop stress during the flux jump. The maximum radial stress increased with decreasing ambient temperature during the flux jump, and the maximum stress area was always near the seeded plane. Subsequently, the magnetization characteristics and mechanical response were studied for different locations of the seeded surface, two concentric superconducting bulks, and non-uniform fields.

show abstract

“…Thus, thermomagnetic instability is coupled with mechanical failure. In the past few years, many researchers have contributed to the investigation into the mechanical stresses [40,41] and the fracture/damage [42][43][44][45] evolution within bulk superconductorsduring magnetization. However, few works [46][47][48] have been reported that investigate the fully coupled thermomagnetic-mechanical instability behavior in bulk superconductors.…”

Section: Introductionmentioning

confidence: 99%

Coupled multiphysics modeling of the thermal-magnetic-mechanical instability behavior in bulk superconductors during pulsed field magnetization

Jing¹

2022

Supercond. Sci. Technol.

View full text Add to dashboard Cite

Magnetization is of great importance for the application of bulk superconductors. Flux jumps are frequently encountered challenges during magnetization, which lead to sharp temperature rises and material failure and eventually affect the field trapping capability of bulk superconductors. Intrinsically, flux jumps and mechanical failure induced by thermomagnetic instability are coupled with each other, which made the numerical simulation of the magnetization of bulk superconductors a challenging task. In this paper, a numerical simulation framework is developed based on my previous work (Jing Z 2020 Supercond. Sci. Technol. 33 075009), which further coupled the H-formulation and the phase-field fracture model with the heat diffusion equation to simulate the flux jump and mechanical failure behaviors of bulk superconductors during magnetization. The experimentally observed features of the flux jumps are reproduced, and the corresponding mechanical failure is evaluated. The magnetic field, temperature, stress/strain, and mechanical failure within the bulk sample are presented. It is found that the varying ramp rate of the pulsed field significantly influences the flux jump behaviors of bulk superconductors. The optimum characteristic time t0 of the pulsed field for the final trapped field is predicted through numerical simulations.

show abstract

Three-dimensional peridynamic modeling of crack initiation and propagation in bulk superconductor during field cooling magnetization

Cited by 13 publications

References 67 publications

R-z plane spatial critical current inhomogeneity-induced mechanical response of GdBCO superconducting bulks during field cooling magnetization

R-z plane spatial critical current inhomogeneity-induced mechanical response of GdBCO superconducting bulks during field cooling magnetization

Flux jump and mechanical response in inhomogeneous high-temperature superconductor under the pulsed-field magnetization

Coupled multiphysics modeling of the thermal-magnetic-mechanical instability behavior in bulk superconductors during pulsed field magnetization

Contact Info

Product

Resources

About