Fracture analysis of cracked thin-walled structures using a high-order XFEM and Irwin’s integral

Chen, Xing; Wang, Yongxiang; Waisman, Haim

doi:10.1016/j.compstruc.2018.10.010

Cited by 22 publications

(6 citation statements)

References 70 publications

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“…Application of the XFEM and its variations has already been done to different plate theories. Dolbow et al [31] initially proposed an XFEM formulation applied to Reissner-Mindlin plates, Xing et al [32] employed a new set of high-order crack tip enrichment functions applied to the MITC element in the context of RM plates. Concerning thin shell theory, Belytschko and Areias [33] proposed an XFEM formulation for thin-shell structures, Bayesteh and Mohammadi [34] studied the effect of crack tip enrichment functions in the analysis of shells, while Nguyen-Thanh et al…”

Section: Fracture Analysis For Platesmentioning

confidence: 99%

Application of PHT-splines in bending and vibration analysis of cracked Kirchhoff–Love plates

Videla

Contreras

Nguyễn

et al. 2020

Computer Methods in Applied Mechanics and Engineering

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In this work, we present an eXtended Geometry Independent Field approximaTion (X-GIFT) formulation for cracked Kirchhoff-Love plates. The plate geometry is modelled by Non-Uniform Rational B-Splines (NURBS) while the solution is approximated by Polynomial Splines over Hierarchical T-meshes (PHT-splines) and enriched by the Heaviside function and crack tip asymptotic expansions. The adaptive refinement is driven by a recovery-based error estimator. The formulation is employed for bending and vibration analysis. We compare different strategies for refinement, enrichment and evaluation of fracture parameters. The obtained results are shown to be in a good agreement with the reference solutions.

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Section: Fracture Analysis For Platesmentioning

confidence: 99%

Application of PHT-splines in bending and vibration analysis of cracked Kirchhoff–Love plates

Videla

Contreras

Nguyễn

et al. 2020

Computer Methods in Applied Mechanics and Engineering

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show abstract

“…The XFEM is further improved to achieve better computational efficiency and accuracy by augmenting the enrichment functions for the crack tip modelling. The higher-order XFEM method [55,56] is an advancement of the classical XFEM by augmenting the crack tip enrichment functions. While the conventional XFEM approach incorporates r 1/2 singularity terms near the crack tip, the higher-order XFEM method enhances solution accuracy and convergence rate by introducing more tip enrichment terms involving higher-order polynomial functions.…”

Section: Introductionmentioning

confidence: 99%

Free vibration behaviour of cracked composite sandwich plate: Meta-modelling approach (HOXFEM-ANN)

Dwivedi,

Raza,

Pathak

2023

Preprint

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Sandwich plates are commonly subjected to transverse shear force during their service and exhibit vibration phenomena. The presence of geometrical discontinuities or fabrication defects like cracks, pores, and holes in the sandwich structure can significantly reduce its stiffness and influence the natural frequency of the plate. This paper proposed a meta-modeling approach based on the higher-order extended finite element method (HOXFEM) and artificial neural network (ANN) to predict natural frequency response of a cracked sandwich plate. A higher-order shear deformation theory (HSDT) is employed for laminated sandwich plates. In the presented HOXFEM method, crack tip enrichment functions are revised for better computational accuracy and computational time. Only four crack tip enrichment functions are proposed in HOXFEM, instead of the eight enrichment functions used in classical XFEM approach. These four enrichment functions consist of two enrichment functions for displacement degrees of freedom and two enrichment functions for rotational degrees of freedom. Further, optimized neural network architecture (4-10-10-10-1) is constructed with data obtained from HOXFEM simulation. The efficacy of the proposed methodology is established through the application of various numerical examples. These examples include different crack sizes and various small cracks/holes configurations within the sandwich plate under different boundary conditions.

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“…Dunn et al [8] presented simple, closed-form expressions for SIFs for cracked I-beams subjected to a bending moment. Xing et al [9] developed a novel fracture mechanics framework for cracked thin-walled structures based on the Mindlin-Reissner plate theory. Atluri [10] explored the physical interpretations of each of the integrals either in terms of crack-tip energy release rates or simply energy-rate differences in two comparison cracked-bodies.…”

Section: Introductionmentioning

confidence: 99%

Fracture Mechanical Analysis of Thin-Walled Cylindrical Shells with Cracks

Yue

2021

Metals

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The fracture mechanical behaviour of thin-walled structures with cracks is highly significant for structural strength design, safety and reliability analysis, and defect evaluation. In this study, the effects of various factors on the fracture parameters, crack initiation angles and plastic zones of thin-walled cylindrical shells with cracks are investigated. First, based on the J-integral and displacement extrapolation methods, the stress intensity factors of thin-walled cylindrical shells with circumferential cracks and compound cracks are studied using linear elastic fracture mechanics, respectively. Second, based on the theory of maximum circumferential tensile stress of compound cracks, the number of singular elements at a crack tip is varied to determine the node of the element corresponding to the maximum circumferential tensile stress, and the initiation angle for a compound crack is predicted. Third, based on the J-integral theory, the size of the plastic zone and J-integral of a thin-walled cylindrical shell with a circumferential crack are analysed, using elastic-plastic fracture mechanics. The results show that the stress in front of a crack tip does not increase after reaching the yield strength and enters the stage of plastic development, and the predicted initiation angle of an oblique crack mainly depends on its original inclination angle. The conclusions have theoretical and engineering significance for the selection of the fracture criteria and determination of the failure modes of thin-walled structures with cracks.

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Fracture analysis of cracked thin-walled structures using a high-order XFEM and Irwin’s integral

Cited by 22 publications

References 70 publications

Application of PHT-splines in bending and vibration analysis of cracked Kirchhoff–Love plates

Application of PHT-splines in bending and vibration analysis of cracked Kirchhoff–Love plates

Free vibration behaviour of cracked composite sandwich plate: Meta-modelling approach (HOXFEM-ANN)

Fracture Mechanical Analysis of Thin-Walled Cylindrical Shells with Cracks

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