A micromechanics-based strain gradient damage model for fracture prediction of brittle materials – Part II: Damage modeling and numerical simulations

Li, J.; Pham, Thi Dao; Abdelmoula, Radhi; Song, Fan; Jiang, Chunyan

doi:10.1016/j.ijsolstr.2011.08.003

Cited by 22 publications

(12 citation statements)

References 43 publications

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“…Pluvinage [33] proposed averaging the stress distribution over the entire process volume to establish more accurate fracture criteria. Introduction of a length scale parameter in crack growth criteria was successively used to predict the crack initiation or to take the non-linear mechanisms into account for crack growth [34][35][36][37][38][39]. The principal advantage of this class of theories resides in their accuracy and simplicity.…”

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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“…This was soon followed with several applications for plane strain shear banding 20 , 21 , 22 , 23 mostly in soils, using constitutive models based on plasticity. Similar approaches were also recently used in the framework of damage mechanics combined with homogenization techniques by 24 , 25 , see also 26 , 27 , 28 and 29 for application in concrete structures.…”

Section: Introductionmentioning

confidence: 93%

Using a penalty term to deal with spurious oscillations in second gradient finite elements

Soufflet

Jouan

Kotronis

et al. 2018

International Journal of Damage Mechanics

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It is well known that it is necessary to introduce a length scale parameter in a continuum damage mechanics model to correctly simulate strain localization. The second gradient model, a special case of kinematically enriched continua, considers an internal length parameter by taking into account the second order derivatives of the displacements in the virtual power principle. In this paper, we show that the original second gradient finite element of Chambon and co-workers can present spurious oscillations, especially for mode I crack propagation problems. After providing the plane stress second gradient constitutive law, we propose to add a penalty term in the original formulation in order to improve numerical convergence and to avoid spurious oscillations in the local variables distributions. Two numerical examples using classical damage mechanics laws, a three points reinforced concrete beam and a trapezoidal notched specimen are used to test the performance of the formulation. Parametrical studies are also shown on the influence of the penalty parameter. The problem of unrealistic damage spreading for damage values close to one, occurring often in mode I crack propagation problems, is finally discussed.

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A micromechanics-based strain gradient damage model for fracture prediction of brittle materials – Part II: Damage modeling and numerical simulations

Cited by 22 publications

References 43 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

Using a penalty term to deal with spurious oscillations in second gradient finite elements

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