Simple and effective approach to modeling crack propagation in the framework of extended finite element method

Chen, Junwei; Zhou, Xiaoping; Zhou, Lunshi; Berto, Filippo

doi:10.1016/j.tafmec.2019.102452

Cited by 29 publications

(10 citation statements)

References 48 publications

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“…The results showed that XFEM is suitable for modeling the growth and coalescence of multiple cracks in geomaterials under compressive loads as well as tensile loads because the frictional contact of crack surfaces is considered in the modeling. [112][113][114][115][116] Using displacement discontinuity method (DDM), Scavia and Castelli 117 conducted some preliminary works through a numerical technique, BEMCOM, to investigate the mechanical behavior of rock bridges in materials containing two and three pre-existing flaws. Through a numerical technique, FROCK, Vasarhelyi and Bobet 118 modeled the cracking behaviors of two bridged flaws in gypsum under uniaxial compression.…”

Section: Numerical Studiesmentioning

confidence: 99%

Compression‐induced crack initiation and growth in flawed rocks: A review

Zhou

Zhang

Yang

et al. 2021

Fatigue Fract Eng Mat Struct

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Section: Numerical Studiesmentioning

confidence: 99%

Compression‐induced crack initiation and growth in flawed rocks: A review

Zhou

Zhang

Yang

et al. 2021

Fatigue Fract Eng Mat Struct

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“…From the equations concerning stress fields around crack tips [ 55 ], the following relationship could be deduced: [ 56 ].

where

and

are the SIF for mode I and II, respectively.…”

Section: Numerical Implementation In Lefm Using the H-aes Methodsmentioning

confidence: 99%

“…This is due to the fact that the stress field equation is valid for r → 0 , which means that, in practice, the accuracy decreases with increasing r. However, for the presented configurations, agreement between closed-form solutions and numerical calculations is very good. From the equations concerning stress fields around crack tips [55], the following relationship could be deduced: [56].…”

Section: Mode I Loading With a Horizontal Crackmentioning

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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“…However, for the presented configurations, the agreement between closed-form solutions and numerical calculations is very good. From the equations concerning stress fields around crack tips [49], the following relationship could be deduced: [50].…”

Section: Mode I Loading With a Horizontal Crackmentioning

confidence: 99%

Combining h-adaptivity with the Element Splitting Method for Crack Simulation in Large Structures

Shu-min¹,

Braun²,

Herrnring³

et al. 2021

Preprint

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H-adaptivity is an effective tool to introduce local mesh refinement in 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. 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 consist of structured coarse meshes. By employing the mesh refinement introduced in this paper, very small cracks are well represented in large structures.

show abstract

Simple and effective approach to modeling crack propagation in the framework of extended finite element method

Cited by 29 publications

References 48 publications

Compression‐induced crack initiation and growth in flawed rocks: A review

Compression‐induced crack initiation and growth in flawed rocks: A review

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

Combining h-adaptivity with the Element Splitting Method for Crack Simulation in Large Structures

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