An advanced continuum damage mechanics model for predicting the crack progress process based on the consideration of the influence of crack direction under quasi-static load

Yun, Kumchol; Wang, Zhenqing; Ronald, Sakaya; Pak, Yongchol

doi:10.1016/j.ijmecsci.2017.05.021

Cited by 18 publications

(17 citation statements)

References 38 publications

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“…The deformed shape and displacement distribution predicted by the present approach are shown in Figure . It can be seen that the numerical results obtained by our approach are in good agreement with the deformed shape and displacement distribution obtained by the XFEM (shown in the work of Yun et al). The load‐displacement curves by the XFEM and our approach are compared in Figure .…”

Section: Resultssupporting

confidence: 88%

“…A three‐point bending test solved in the work of Yun et al is reconsidered to check out the tracking capability of a curved crack of the present approach. A simply supported beam is loaded by an imposed displacement at the center of the top edge.…”

Section: Resultsmentioning

confidence: 99%

“…In this case, the average crack direction vector, which is defined above, is used to correct these spurious changes. If there is a serious change in the principal stress direction, such as the stress state near the neutral axes in the bending problem, the crack propagation direction is not taken as the direction perpendicular to the first principal stress and corrected by using the maximum crack inclined angle criterion . In this case, the replacement of the crack tip element is not performed.…”

Section: Crack Trackingmentioning

confidence: 99%

“…If there is a serious change in the principal stress direction, such as the stress state near the neutral axes in the bending problem, the crack propagation direction is not taken as the direction perpendicular to the first principal stress and corrected by using the maximum crack inclined angle criterion. 36 In this case, the replacement of the crack tip element is not performed. When the angle between the crack propagation direction vector and the average crack direction vector exceeds max defined by the user, the crack propagation direction is taken as the average crack direction according to the maximum crack inclined angle criterion ( Figure 3B).…”

Section: Correction Of the Crack Pathmentioning

confidence: 99%

“…It does not solve issues such as discrete crack propagation or crack kinking, and so, the wrong crack path is generally obtained for predicting the discrete crack progress direction. In order to overcome these disadvantages of the traditional CDM, many studies, such as a CDM with a vanishing element technique, a rotating crack model, and an advanced CDM (ACDM) model with a crack direction parameter, are performed. However, the mesh size and mesh bias dependence of the numerically obtained crack path cannot be fully avoided by using these models.…”

Section: Introductionmentioning

confidence: 99%

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An improved crack tracking algorithm with self‐correction ability of the crack path and its application in a continuum damage model

Yun¹,

Kim²,

Jang³

et al. 2018

Numerical Meth Engineering

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Summary In this paper, a new procedure for predicting the crack propagation and fracture behavior in quasi‐brittle materials is presented based on continuum damage mechanics. Several crack tracking algorithms are widely used for failure analysis, among which the local tracking algorithm is very simple and easy to implement with low computational cost. However, in the prediction of crack growth with the traditional local tracking algorithm, it can be often seen that the sharp changes in the crack path such as U‐turns can occur. An improved local tracking algorithm with self‐correction ability of the crack path is proposed to overcome these difficulties of the traditional crack tracking algorithms. A continuum damage model, in addition to the present crack tracking algorithm, can greatly enhance the performance of failure prediction in quasi‐brittle materials. The present approach has the advantages that it can well predict the crack propagation path and can avoid mesh size and mesh bias dependence without the embedment of discontinuities or nodal enrichment. The present model is incorporated into ANSYS by the ANSYS Parameter Design Language to simulate the initiation and propagation of the discrete crack in engineering applications. The numerical results by this model are compared with the ones by the extended finite element method and experiments, and good agreements are achieved.

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Section: Resultssupporting

confidence: 88%

Section: Resultsmentioning

confidence: 99%

Section: Crack Trackingmentioning

confidence: 99%

Section: Correction Of the Crack Pathmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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An improved crack tracking algorithm with self‐correction ability of the crack path and its application in a continuum damage model

Yun¹,

Kim²,

Jang³

et al. 2018

Numerical Meth Engineering

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A modified phase field model for predicting the fracture behavior of quasi‐brittle materials

Yun¹,

Kim²,

Chu³

2021

Numerical Meth Engineering

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Phase field models have a very good capability in predicting the crack path, but most of them represent the dependence of the regularization parameter on the load-carrying capacity of structures. In this paper, a phase field model is coupled with isotropic damage model aiming to resolve this issue in the fracture simulations of quasi-brittle materials. Damage variables are calculated by a continuum damage mechanics model based on accurate energy reduction and then regularized by the phase field model. Since the continuum damage mechanics model is combined with phase field method, tensile strength of material is employed for calculating the damage field and phase field. Our approach can predict the accurate load-carrying capacity independent of the regularization parameter while maintaining the precision of the crack path prediction. Three benchmark problems are solved to demonstrate good performance of our approach, and results are compared with those by the damage mechanics model or by the standard phase field model. K E Y W O R D Scrack propagation, isotropic damage model, load-carrying capacity, phase field model, quasi-brittle fracture 5656

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Modelling and simulation of coupled fluid transport and time-dependent fracture in fibre-reinforced hydrogel composites

Li¹,

Ma²,

Yuan

et al. 2022

Computer Methods in Applied Mechanics and Engineering

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An advanced continuum damage mechanics model for predicting the crack progress process based on the consideration of the influence of crack direction under quasi-static load

Cited by 18 publications

References 38 publications

An improved crack tracking algorithm with self‐correction ability of the crack path and its application in a continuum damage model

An improved crack tracking algorithm with self‐correction ability of the crack path and its application in a continuum damage model

A modified phase field model for predicting the fracture behavior of quasi‐brittle materials

Modelling and simulation of coupled fluid transport and time-dependent fracture in fibre-reinforced hydrogel composites

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