3-D local mesh refinement XFEM with variable-node hexahedron elements for extraction of stress intensity factors of straight and curved planar cracks

Wang, Zhen; Yu, Tiantang; Bui, Tinh Quoc; Tanaka, Satoyuki; Zhang, Chuanzeng; Hirose, Sohichi; Curiel-Sosa, J.L.

doi:10.1016/j.cma.2016.10.011

Cited by 98 publications

(20 citation statements)

References 57 publications

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“…(8) are used for orthotropic materials [23]. However, note that the asymptotic field ahead of the crack tip for two-dimensional isotropic materials are also valid for three-dimensional cracks as shown in Wang et al [24]. The asymptotic fields are essentially twodimensional in the crack front of three-dimensional cracks.…”

Section: Positesmentioning

confidence: 99%

Modelling fracture and delamination in composite laminates: Energy release rate and interface stress

Curiel-Sosa

Tafazzolimoghaddam

Zhang

2018

Composite Structures

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This article presents an approach for modelling fracture and delamination, based on the partition of finite elements and on the energy release rate due to crack propagation in cross-ply laminates. The energy release rate is implemented within an Extended Finite Element Method (XFEM) framework. This approach is enabling the prediction of delamination propagation without pre-allocating damage zones. No element deletion techniques were used either. Mesh refinement was not needed for the propagation of cracks. Virtual testing of transverse cracks-eventually triggering delamination in cross-ply laminates-is presented to show the technique efficiency. Thus, a maximum energy release rate of 0.9 kJ/m 2 is found for a transverse crack within [0 0 , 90 0 ] s laminate. When maximum energy release rate is reached, delamination in the {0 0 /90 0 } interface is triggered. Furthermore, delamination in a composite double cantilever beam is simulated and presented in some detail. The results were compared with experimental outputs and/or by other numerical means showing an excellent correlation.

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Section: Positesmentioning

confidence: 99%

Modelling fracture and delamination in composite laminates: Energy release rate and interface stress

Curiel-Sosa

Tafazzolimoghaddam

Zhang

2018

Composite Structures

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“…9 On the basis of the APSE test data, researchers from China, Japan, and Korea studied a numerical simulation for coupled thermo-mechanical processes. 7,[10][11][12] Furthermore, an error estimator based on recovery strain for adaptivity 13 was used to simulate fractures through a local mesh refinement in terms of extended finite element method, 14 which was further extended to the fracture analysis of three-dimensional (3-D) linear elastic solids 15 and the thermal-mechanical crack propagations in composites for enriched approximation of discontinuous temperatures. 16,17 Thermo-mechanical coupling involves fracture deformation, leading to thermal cracking of fractures [18][19][20] that consequently influence the permeability of a fractured rock mass.…”

Section: Introductionmentioning

confidence: 99%

Coupled thermo‐mechanical algorithm for fractured rock mass by the composite element method

Xue

Wang

et al. 2020

Numerical Meth Engineering

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To assess the influence of thermal stress on fracture deformation, a composite element algorithm of thermo-mechanical coupling for fractured rock mass is developed based on the composite element method (CEM). This study aims to investigate coupled processes associated with the (i) effect of temperature on mechanical deformation and (ii) effect of fracture aperture on heat transfer. The composite element contains fracture segments exhibiting arbitrary shapes with variables that can be interpolated from their mapped nodal variables; the mapped variables can be determined using the governing equations derived from the variational principle or virtual work principle. The proposed coupling algorithm can simulate the discontinuity of fractures, with consideration of the heat transfer of rock blocks and fractures, together with heat exchange among fractures and the adjacent rock mass. A computational mesh is generated without restrictions by explicitly embedding the fractures into the mapped composite elements, substantially simplifying the pre-process work. Analytic solutions to the transient temperature problem are examined to verify the proposed CEM algorithm. Two three-dimensional numerical models are developed to perform thermo-mechanical coupling analyses. These analyses are used to prove the advantage of the mesh handler and the reliability of the proposed algorithm. During coupling with the CEM model, the computational mesh requires no modification regardless of changes in fracture aperture. Results indicate that an increase in temperature leads to rock expansion, causing fracture deformation, which affects the general temperature of the fractured rock mass.

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“…1 Hitherto, various methods (or models) have been developed to simulate the fracture process, all of which can be roughly classified into two categories, viz, discontinuous (sharp interface) and continuous (smeared) methods. 2 The former requires numerical tracking of discontinuous displacement fields, for instance, extended finite element method, [3][4][5][6] cohesive zone model, [7][8][9] and extended isogeometric analysis. [10][11][12][13] Nonetheless, complex crack patterns like branching and merging are still arduous tasks for discrete methods.…”

Section: Introductionmentioning

confidence: 99%

A hybrid adaptive finite element phase‐field method for quasi‐static and dynamic brittle fracture

Tian

Tang

et al. 2019

Numerical Meth Engineering

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Summary The phase‐field approach has unique advantages in describing fracture phenomena, which has received extensive attention in the past decade. Nevertheless, the phase‐field modeling of fracture is computationally demanding, due to the high temporal‐spatial resolution required for crack tracking. In this contribution, a novel hybrid adaptive finite element phase‐field method (ha‐PFM) is developed to solve brittle fracture problems under quasi‐static and dynamic loading. ha‐PFM can dynamically track the propagation of the cracks and adaptively refine the meshes based on a novel crack tip identification strategy. Afterward, the refined meshes in the noncrack progression region are reconverted into coarse meshes. This scheme prominently reduces the computational cost, eg, CPU time and memory usage. Unlike the previous adaptive phase‐field method, multilevel hybrid triangular and quadrilateral elements were developed to discretize the computational domain, which eliminates hanging nodes and ensures that the meshes in the vicinity of the crack tip are highly isotropic. Several representative benchmarks containing quasi‐static and dynamic fracture were reinvestigated with ha‐PFM, and its excellent performance is substantiated by comparison with the standard phase‐field method and literature results.

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3-D local mesh refinement XFEM with variable-node hexahedron elements for extraction of stress intensity factors of straight and curved planar cracks

Cited by 98 publications

References 57 publications

Modelling fracture and delamination in composite laminates: Energy release rate and interface stress

Modelling fracture and delamination in composite laminates: Energy release rate and interface stress

Coupled thermo‐mechanical algorithm for fractured rock mass by the composite element method

A hybrid adaptive finite element phase‐field method for quasi‐static and dynamic brittle fracture

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