Dynamic fracture analysis of the linearly uncoupled and coupled physical phenomena by the variable-node multiscale XFEM

Yin, Shuohui; Zhang, Ning; Liu, Peng; Liu, Jingang; Yu, Tiantang; Gu, Sijia; Yu, Chan

doi:10.1016/j.engfracmech.2021.107941

Cited by 14 publications

(4 citation statements)

References 49 publications

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“…The extended finite element method (XFEM) [37,38] provides a new perspective for solving discontinuities in solid materials, such as cracks, voids, and inclusions. It has been widely used to study complicated crack growth or propagation [39][40][41][42][43]. Chen et al [44] simulated the mixed-mode crack propagation problem.…”

Section: Introductionmentioning

confidence: 99%

Numerical analysis of the mechanical and electrical properties of (RE)BCO tapes with multiple edge cracks

Gao

2023

Supercond. Sci. Technol.

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One of the leading causes of critical current degradation in (RE)BCO tapes is the micro-cracks produced by mechanical slitting. These cracks are scattered near the edge of the tape and vary in length and angle. In this work, a tape model with multiple edge cracks is established. Under tensile loading, the effects of the Poisson ratio, crack length, crack angle, crack spacing, and geometric mutation between cracks on the stress intensity factor are investigated using the extended finite element method (XFEM). Tensile experiments were conducted at room temperature to investigate the crack propagation behavior of tapes with multiple edge cracks. The results show that the stress intensity factor obtained using XFEM is more informative than the analytical solution, which ignores the Poisson effect. The stress intensity factor is sensitive to crack length and angle variations and exhibits an evident jump characteristic when a geometric mutation occurs. The jump level strongly depends on the geometric difference. The jump location is the initiation site for crack propagation, which is consistent with the experiment results. The strain analysis of the tape implies that high-strain regions exist at the crack tip before the tensile strain reaches the irreversible strain limit. The critical strain of crack propagation is closely related to the form of crack distribution. It dominates the irreversible strain limit of critical current degradation, which facilitates understanding the early degradation of critical current. Finally, some engineering suggestions are given.

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Section: Introductionmentioning

confidence: 99%

Numerical analysis of the mechanical and electrical properties of (RE)BCO tapes with multiple edge cracks

Gao

2023

Supercond. Sci. Technol.

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“…For spiral bevel gears with more complex structures, three-dimensional fatigue crack trajectories under non-proportional loads were analyzed using boundary element analysis and linear elastic fracture mechanics principles [8]. When these finite element methods were employed to model crack growth, the fine mesh was required to be applied around the crack tip and the modeling steps were complex, resulting in low efficiency of the simulation process [9].…”

Section: Introductionmentioning

confidence: 99%

Effect of Initial Crack Position on Crack Propagation Behaviors of Heavy-Duty Transmission Gear

Zhang,

Tang,

Zhao

et al. 2023

Materials

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The tooth bending fatigue fracture is caused by the alternating loads for the heavy-duty transmission gears. The crack initiation and propagation are the two major parts in the failure process. The crack propagation behavior is mainly affected by initial crack position except for the load and material properties. In this paper, the crack propagation model of a gear is established under the considering of crack initiation location by using extended finite element method (XFEM). The model accuracy is verified by testing results of strain and fractography by conducting the single-tooth bending fatigue experiment. The influence of crack initiation locations on subsequent crack propagation behavior is analyzed. The crack length in the tooth width direction and depth direction is faster when the initial crack is located in the middle of root surface. The crack growth rate is lower for the initial crack located in the surface close to the end surface of the gear.

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“…However, the dimensions of cracks are relatively small in large structures. If a higher accuracy or more local details are needed in the numerical model, it is desirable to introduce local mesh refinement, which requires less computational cost than applying a fine mesh to the entire model [ 3 , 4 ]. In order to introduce local mesh refinement, the h-adaptivity could be applied.…”

Section: Introductionmentioning

confidence: 99%

“…Compared with the element deletion method, crack paths based on the XFEM method could be less mesh-dependent [ 20 , 24 , 26 , 27 , 28 ], and the conservation of mass could be preserved [ 28 , 29 ]. Research combining XFEM with local mesh refinement were also proved to be effective [ 4 , 30 ]. Remeshing techniques are usually applied to rebuild local meshes around the crack tip [ 31 , 32 , 33 , 34 , 35 ], leading to very precise results regarding the crack initiation and propagation.…”

Section: Introductionmentioning

confidence: 99%

Combining H-Adaptivity with the Element Splitting Method for Crack Simulation in Large Structures

et al. 2021

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H-adaptivity is an effective tool to introduce local mesh refinement in the FEM-based numerical simulation of crack propagation. The implementation of h-adaptivity could benefit the numerical simulation of fatigue or accidental load scenarios involving large structures, such as ship hulls. Meanwhile, in engineering applications, the element deletion method is frequently used to represent cracks. However, the element deletion method has some drawbacks, such as strong mesh dependency and loss of mass or energy. In order to mitigate this problem, the element splitting method could be applied. In this study, a numerical method called ‘h-adaptive element splitting’ (h-AES) is introduced. The h-AES method is applied in FEM programs by combining h-adaptivity with the element splitting method. Two examples using the h-AES method to simulate cracks in large structures under linear-elastic fracture mechanics scenario are presented. The numerical results are verified against analytical solutions. Based on the examples, the h-AES method is proven to be able to introduce mesh refinement in large-scale numerical models that mostly consist of structured coarse meshes, which is also beneficial to the reduction of computational resources. By employing the h-AES method, very small cracks are well represented in large structures without any deletions of elements.

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Dynamic fracture analysis of the linearly uncoupled and coupled physical phenomena by the variable-node multiscale XFEM

Cited by 14 publications

References 49 publications

Numerical analysis of the mechanical and electrical properties of (RE)BCO tapes with multiple edge cracks

Numerical analysis of the mechanical and electrical properties of (RE)BCO tapes with multiple edge cracks

Effect of Initial Crack Position on Crack Propagation Behaviors of Heavy-Duty Transmission Gear

Combining H-Adaptivity with the Element Splitting Method for Crack Simulation in Large Structures

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