A new enrichment scheme for the interfacial crack modeling using the XFEM

Deng, Huachao; Yan, Bo; Zhang, Xiaomin; Zhu, Yongqiang

doi:10.1016/j.tafmec.2022.103595

Cited by 11 publications

(4 citation statements)

References 39 publications

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“…The extended finite element method is an improved method of finite element method for discontinuous problems [32]. Equation ( 2) is the displacement solution equation of the traditional finite element method.…”

Section: Extended Finite Element Methods Expansionmentioning

confidence: 99%

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Investigation of Crack Propagation and Failure of Liquid-Filled Cylindrical Shells Damaged in High-Pressure Environments

Zhang,

Tan,

et al. 2024

JMSE

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Cylindrical shell structures have excellent structural properties and load-bearing capacities in fields such as aerospace, marine engineering, and nuclear power. However, under high-pressure conditions, cylindrical shells are prone to cracking due to impact, corrosion, and fatigue, leading to a reduction in structural strength or failure. This paper proposes a static modeling method for damaged liquid-filled cylindrical shells based on the extended finite element method (XFEM). It investigated the impact of different initial crack angles on the crack propagation path and failure process of liquid-filled cylindrical shells, overcoming the difficulties of accurately simulating stress concentration at crack tips and discontinuities in the propagation path encountered in traditional finite element methods. Additionally, based on fluid‒structure interaction theory, a dynamic model for damaged liquid-filled cylindrical shells was established, analyzing the changes in pressure and flow state of the fluid during crack propagation. Experimental results showed that although the initial crack angle had a slight effect on the crack propagation path, the crack ultimately extended along both sides of the main axis of the cylindrical shell. When the initial crack angle was 0°, the crack propagation path was more likely to form a through-crack, with the highest penetration rate, whereas when the initial crack angle was 75°, the crack propagation speed was slower. After fluid entered the cylindrical shell, it spurted along the crack propagation path, forming a wave crest at the initial ejection position.

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Section: Extended Finite Element Methods Expansionmentioning

confidence: 99%

“…Selecting appropriate damage parameters is crucial for improving model simulation accuracy [32]. Liu [33] studied the toughness crack propagation of X80 pipeline steel and found the maximum principal strain criterion more suitable for numerical analysis.…”

Section: Introductionmentioning

confidence: 99%

Investigation of Crack Propagation and Failure of Liquid-Filled Cylindrical Shells Damaged in High-Pressure Environments

Zhang,

Tan,

et al. 2024

JMSE

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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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“…Differing from conventional materials, CFRPs usually consist of a polymer matrix and fibers [ 11 ], in which the polymer matrix usually exhibits visco-elastic behavior [ 12 ]. During service periods, CFRPs are subjected to arbitrary and multiple-amplitude loadings, and the failure mechanisms, such as transverse cracks [ 13 , 14 , 15 , 16 ] and interface delamination [ 17 ], are also time- and temperature-dependent [ 18 ]. It should be noted that the loading sequences are usually randomly applied on the CFRP components [ 19 , 20 , 21 ].…”

Section: Introductionmentioning

confidence: 99%

Micro-Scale Numerical Simulation of Fatigue Failure for CFRP Subjected to Multiple-Amplitude Cyclic Loadings Based on Entropy Damage Criterion

Deng,

Toda,

Sato

et al. 2023

Materials

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Fatigue failure of carbon fiber-reinforced plastics (CFRPs) under cyclic loadings has attracted the attention of researchers recently. In this study, the entropy-based failure criterion is proposed to investigate the fatigue lifetime of unidirectional CFRPs subjected to multiple-amplitude cyclic loadings. Due to the heterogeneity of CFRPs, a micro-finite element model considering matrix resin and fibers independently is developed, and the entropy-based damage criterion is implemented into a user-subroutine of Abaqus to model the progressive damage of matrix resin. The fatigue lifetime of CFRPs under typical loading sequences consisting of two stages, such as varying from low to high (L-H) or from high to low (H-L) loading sequence, is estimated with the proposed failure criterion. Numerical results show that the initial damage occurs near the area between two fibers, and a transverse crack propagates progressively under the cyclic loading. The difference in predicted lifetime to final failure in L-H and H-L stress levels is 6.3%. Thus, the effect of loading sequence on the fatigue lifetime can be revealed via the proposed entropy-based damage criterion. Comparisons with the conventional linear cumulative damage (LCD) and kinetic crack growth (KCG) theories are also conducted to demonstrate the validity of the proposed method. The entropy-based failure criterion is a promising method to predict the residual strength and fatigue lifetime of CFRP components.

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A new enrichment scheme for the interfacial crack modeling using the XFEM

Cited by 11 publications

References 39 publications

Investigation of Crack Propagation and Failure of Liquid-Filled Cylindrical Shells Damaged in High-Pressure Environments

Investigation of Crack Propagation and Failure of Liquid-Filled Cylindrical Shells Damaged in High-Pressure Environments

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

Micro-Scale Numerical Simulation of Fatigue Failure for CFRP Subjected to Multiple-Amplitude Cyclic Loadings Based on Entropy Damage Criterion

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