A damage model for crack prediction in brittle and quasi-brittle materials solved by the FFT method

Li, Jia; Tian, X. T.; Abdelmoula, Radhi

doi:10.1007/s10704-011-9671-1

Cited by 39 publications

(42 citation statements)

References 23 publications

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“…However, these analyses were suitable only for individual crack formation and evolution. On the basis of the finite fracture mechanics concept, Li et al [40,41] developed a Fast Fourier Transform (FFT) code, which is capable to simulate multiple crack onset and crack growth in brittle materials.…”

Section: Introductionmentioning

confidence: 99%

A non-local approach to crack process modeling in ceramic materials subjected to thermal shock

Song

Jiang

2015

Engineering Fracture Mechanics

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Section: Introductionmentioning

confidence: 99%

A non-local approach to crack process modeling in ceramic materials subjected to thermal shock

Song

Jiang

2015

Engineering Fracture Mechanics

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“…[21][22][23][24] However, multi-cracking phenomenon such as that observed in thermal shock experiments is always an intrinsically difficult problem to deal with. In this paper, a non-local failure criterion was proposed and implemented into a finite element code.…”

Section: Introductionmentioning

confidence: 99%

Direct numerical simulations on crack formation in ceramic materials under thermal shock by using a non-local fracture model

Song

Jiang

2013

Journal of the European Ceramic Society

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In this work, a non-local failure model was proposed and implemented into a finite element code. It was then used to simulate the crack evolution in ceramic materials subjected to thermal shock. By using this numerical model, the initiation and propagation of cracks in water quenched ceramic specimens were simulated. The numerical simulations reproduced faithfully the crack patterns in ceramic specimens underwent quenching tests. The periodical and hierarchical characteristics of the crack patterns were accurately predicted. The numerical simulations allow a direct observation on whole the process of crack initiation and growth, which is quite a difficult task in experimental studies. The failure mechanisms and the fracture procedure are discussed according to the numerical results obtained from the simulations. It is shown that the numerical model is simple, robust, accurate and efficient in simulating crack evolution in real structures under thermal shock.

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“…The extension of the present model to anisotropic materials does not present particular difficulties and will be developed later. In this section, the non-local damage model proposed by Li et al [28] is briefly presented, as follows.…”

Section: Matrix and Fibre Fracturementioning

confidence: 99%

“…In Li et al [28], the prediction of the crack growth in a 2D bulk body by means of the FFT damage model described in Section 4 has been compared with that by using the conventional linear fracture mechanics. The principal conclusions of these studies are:…”

Section: Crack Growth In Matrix and Fibresmentioning

confidence: 99%

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A non-local fracture model for composite laminates and numerical simulations by using the FFT method

Meng

Tian

et al. 2012

Composites Part B: Engineering

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a b s t r a c tIn this paper, we present a fracture model for composite laminates and its numerical solution by using the Fast Fourier Transforms (FFTs). The FFT-based formulation initially proposed for seeking the average behaviour of linear and non-linear composites by means of the homogenisation procedures [1,2] was adapted to evaluate the damage growth in brittle materials. A non-local damage model based on the maximal principal stress criterion was proposed to assess the failure in the matrix and the fibres. This non-local model was then connected to the Griffith-Irwin criterion in the aim of predicting crack growth. In order to assess the matrix/fibre interface delamination, we have adapted the cohesive model developed by Li [3] for accounting the mixed-mode dependent interface failure. To this end, the interfaces between the matrix and the fibres are replaced by a thin layer of interphase with the purpose of facilitating the FFT simulations. By using the proposed model, we carried out several numerical simulations on fracture process in different specimens. From these studies, we can conclude that the present FFTbased analysis is capable to deal with crack initiation and crack growth in composite laminates with high accuracy and efficiency, especially in the cases of matrix/fibre interface debonding and of multi-crack growth.

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A damage model for crack prediction in brittle and quasi-brittle materials solved by the FFT method

Cited by 39 publications

References 23 publications

A non-local approach to crack process modeling in ceramic materials subjected to thermal shock

A non-local approach to crack process modeling in ceramic materials subjected to thermal shock

Direct numerical simulations on crack formation in ceramic materials under thermal shock by using a non-local fracture model

A non-local fracture model for composite laminates and numerical simulations by using the FFT method

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