Modeling crack propagation with the extended scaled boundary finite element method based on the level set method

Li, Jianbo; Fu, Xing-an; Chen, Bai-bin; Wu, Chenglin; Lin, Gao

doi:10.1016/j.compstruc.2016.01.011

Cited by 20 publications

(14 citation statements)

References 21 publications

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“…The Extended Finite Element Method (XFEM) is a versatile tool for the analysis of problems which involves discontinuities, singularities, localized deformations and complex geometries [3], [4]. These methods can easily form the solution simplified for many complex situations in material modelling like the propagation of cracks, the evolution of dislocations, the modelling of grain boundaries and the evolution of phase boundaries.…”

Section: A Extended Fem Application To the Problemmentioning

confidence: 99%

XFEM Damage Analysis of Carbon Fiber Reinforced Composites and Crack Propagation in Mixed-Mode and Implementation of the Method Using ABAQUS

Swati¹,

Wei²,

Elahi³

et al. 2018

IJMMM

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Section: A Extended Fem Application To the Problemmentioning

confidence: 99%

XFEM Damage Analysis of Carbon Fiber Reinforced Composites and Crack Propagation in Mixed-Mode and Implementation of the Method Using ABAQUS

Swati¹,

Wei²,

Elahi³

et al. 2018

IJMMM

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“…Recently, the extended scaled boundary finite element method (X-SBFEM) based on the level set method was developed on the basis of both the SBFEM [19,20] and the extended finite elements (XFEM) [21,22]. Capitalizing on the advantages of both methods, X-SBFEM [23,24] can make full use of XFEM to describe the discontinuous displacement field and SBFEM to solve the problem of the stress singularity with higher precision. Simulating the crack body section using XFEM and the crack tip using SBFEM, the method finally establishes the total equilibrium equation of the crack body and solves the equation, thereby overcoming the disadvantages of XFEM, such as obtaining the analytical form of the displacement and the stress asymptotic fields of the crack tip in advance and constructing the complex enhanced functions, which can express nonsmooth behaviors near the crack tip.…”

Section: Introductionmentioning

confidence: 99%

“…Currently, the application of X-SBFEM in fractures [23] based on linear elastic fracture mechanics (LEFM) mainly focuses on the linear fracture. Due to the complexity of the three-dimensional analysis Two main approaches are often taken to model the FPZ, which are: the smeared crack models and the discrete crack models.…”

Section: Introductionmentioning

confidence: 99%

A Nonlinear Crack Model for Concrete Structure Based on an Extended Scaled Boundary Finite Element Method

Gao

et al. 2018

Applied Sciences

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Fracture mechanics is one of the most important approaches to structural safety analysis. Modeling the fracture process zone (FPZ) is critical to understand the nonlinear cracking behavior of heterogeneous quasi-brittle materials such as concrete. In this work, a nonlinear extended scaled boundary finite element method (X-SBFEM) was developed incorporating the cohesive fracture behavior of concrete. This newly developed model consists of an iterative procedure to accurately model the traction distribution within the FPZ accounting for the cohesive interactions between crack surfaces. Numerical validations were conducted on both of the concrete beam and dam structures with various loading conditions. The results show that the proposed nonlinear X-SBFEM is capable of modeling the nonlinear fracture propagation process considering the effect of cohesive interactions, thereby yielding higher precisions than the linear X-SBFEM approach.

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“…Later on, the slip theory of plasticity was found to be unsuitable for general material models, for example, models of the cracking damage in quasi‐brittle materials, where the inelastic behavior on the micro‐scale may not physically represent such slip. Considering the previous argument, static constraint has been replaced by kinetic constraint; however, problems have nevertheless arisen in predicting the far post‐peak tensile response in which the crack bridging stresses are reduced to zero . It is worth mentioning that probability level of the measurements can be considered using reliability analysis …”

Section: Introductionmentioning

confidence: 99%

Analysis of concrete crack growth based on micro‐plane model

Peyman

Sadrnejad

2017

Structural Concrete

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The crack geometry effect is encountered in compliance matrix as a tensor containing 17 on-plane stress/strain component interrelation. The components of compliance matrix vary due to the effects of the directional fabric behavior of the material created by inherent/induced anisotropy that can be differed in any of the multi-direction through material. Mathematically, any alterations in multidirectional material behavior are numerically integrated and affected in material compliance matrix. The main objective of this paper is to develop a numerical approach to determine the crack initiation and its growth for brittle materials such as concrete. Upon the numerical integration technique, any multi-directional behavior aspect is affected by components of compliance matrix to reflect historically in the next step material behavior. Accordingly, the proposed model results are investigated to satisfy both equilibrium and compatibility equations. In this paper, previous selected 13 sampling points in numerical integration are updated to 17 planes to overcome the compatibility problem. To show the capability of the model, a few fractured concrete test results under different loading stress/strain paths were examined. The significant advantage of the proposed multi-laminate model is to present a complete pre-failure history of stress/strain progress on different predefined sampling planes which leads to the illustration of the final damaged or failure mechanism. K E Y W O R D S anisotropy, complete compliance matrix, concrete, damage, multi-laminate

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Modeling crack propagation with the extended scaled boundary finite element method based on the level set method

Cited by 20 publications

References 21 publications

XFEM Damage Analysis of Carbon Fiber Reinforced Composites and Crack Propagation in Mixed-Mode and Implementation of the Method Using ABAQUS

XFEM Damage Analysis of Carbon Fiber Reinforced Composites and Crack Propagation in Mixed-Mode and Implementation of the Method Using ABAQUS

A Nonlinear Crack Model for Concrete Structure Based on an Extended Scaled Boundary Finite Element Method

Analysis of concrete crack growth based on micro‐plane model

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