A numerical simulation for effective elastic moduli of plates with various distributions and sizes of cracks

Shen, Laifa; Li, Jackie

doi:10.1016/j.ijsolstr.2004.02.016

Cited by 42 publications

(31 citation statements)

References 40 publications

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“…It was found that an increase of Young modulus, and index of brittleness and strength enhances the AE or EME amplitude (Hudson et al, 1972;Gol'd et al, 1975;Nitsan, 1977;Khatiashvili, 1984;Carpinteri, 1986Carpinteri, , 1989Carpinteri, , 1990Carpinteri, , 1994Frid et al, 1999Frid et al, , 2000Rabinovitch et al, 2002;Fukui et al, 2005). On the other hand, accumulated experimental and theoretical evidence indicates that the elastic modulus significantly decreases as damage increases, nearing zero as the global fracture approaches (Lockner and Madden 1991;Guéguen et al, 1997;Lin et al, 2004;Shen and Li, 2004;Amitrano and Helmstetter, 2006;Chen, 2012;Chelidze et al, 1988Chelidze et al, , 1990. Characteristically, a very important class of models of material failure is the fiber bundle models (FBMs), which capture the most important aspects of material damage.…”

Section: On the Sensitivity Of The Fracture-induced Em Anomaly To Elamentioning

confidence: 99%

On the puzzling feature of the silence of precursory electromagnetic emissions

Eftaxias

Potirakis

Chélidzé

2013

Nat. Hazards Earth Syst. Sci.

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Abstract. It has been suggested that fracture-induced MHzkHz electromagnetic emissions (EME), which emerge from a few days up to a few hours before the main seismic shock occurrence permit a real-time monitoring of the damage process during the last stages of earthquake preparation, as it happens at the laboratory scale. Despite fairly abundant evidence, electromagnetic (EM) precursors have not been adequately accepted as credible physical phenomena. These negative views are enhanced by the fact that certain "puzzling features" are repetitively observed in candidate fractureinduced pre-seismic EME. More precisely, EM silence in all frequency bands appears before the main seismic shock occurrence, as well as during the aftershock period. Actually, the view that "acceptance of "precursive" EM signals without convincing co-seismic signals should not be expected" seems to be reasonable. In this work we focus on this point. We examine whether the aforementioned features of EM silence are really puzzling ones or, instead, reflect well-documented characteristic features of the fracture process, in terms of universal structural patterns of the fracture process, recent laboratory experiments, numerical and theoretical studies of fracture dynamics, critical phenomena, percolation theory, and micromechanics of granular materials. Our analysis shows that these features should not be considered puzzling.

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Section: On the Sensitivity Of The Fracture-induced Em Anomaly To Elamentioning

confidence: 99%

On the puzzling feature of the silence of precursory electromagnetic emissions

Eftaxias

Potirakis

Chélidzé

2013

Nat. Hazards Earth Syst. Sci.

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“…Here, the following formula derived from the generalized non-interacting bulk and shear modulus solutions ( Shen and Li, 2004 ) is suggested:…”

Section: Young's Modulusmentioning

confidence: 99%

“…Meanwhile, Hashin's differential formula ( Shen and Li, 2004 ) is recommended to calculate the effective Young's modulus of the aligned cracked plates:…”

Section: Young's Modulusmentioning

confidence: 99%

“…All these results suggest that the shear modulus is influenced by the crack density only and not by the crack angle standard deviation. Thus, the effective shear modulus can be calculated by an isotropic cracked plate's formulas, such as the following differential solution ( Shen and Li, 2004 ):…”

Section: Shear Modulusmentioning

confidence: 99%

“…In parallel, numerical methods have been broadly applied to calculate the effective mechanical properties of solids with pre-existing cracks, such as the finite element method ( Makarynska et al, 2008;Shen and Li, 2004 ) and the boundary element method ( Huang et al, 1996;Renaud et al, 1996 ). The differential method provides the closest estimation at low crack density, whereas the generalized selfconsistent method or the non-interaction solution is more accurate than the other methods at high crack density.…”

Section: Introductionmentioning

confidence: 99%

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The influence of crack-orientation distribution on the mechanical properties of pre-cracked brittle media

Zeng

Wei

2016

International Journal of Solids and Structures

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a b s t r a c tCracks in kerogen-rich shales and other brittle rock-like materials have a tremendous impact on their elastic properties and strength. In this paper, we investigate the effective mechanical properties of shale plates with pre-existing cracks. We employ the extended finite element method (XFEM) to investigate a pre-cracked medium with an elastic, isotropic and brittle shale matrix. We show how the mechanical properties of the orthotropic shale plates are dependent on the crack density and the standard deviation of crack angles. Both the Young's modulus and the Poisson's ratio of the cracked media exhibit a linear dependence on the standard deviation of crack angles, in contrast to the nonlinear dependence of the strength on the angle deviation. Finally, we propose mechanical models to capture the relationship between the mechanical properties and the distribution characteristics of pre-existing cracks in shales. These phenomenological models could be applied to estimate the fracking behavior of shales in engineering practice.

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Ionic Liquids in Refinery Desulfurization: Comparison between Biphasic and Supported Ionic Liquid Phase Suspension Processes

et al. 2009

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The desulfurization of fuel compounds in the presence of ionic liquids is reported. For this purpose, the desulfurization efficiency of a variety of imidazolium phosphate ionic liquids has been tested. Dibenzothiophene/dodecane and butylmercaptan/decane mixtures were used as model systems. Single-stage extractions reduced the sulfur content from 500 ppm to 200 ppm. In multistage extractions the sulfur content could be lowered to less than 10 ppm within seven stages. Regeneration of the ionic liquid was achieved by distillation or re-extraction procedures. Supported ionic liquid phase (SILP) materials, obtained by dispersing the ionic liquid as a thin film on highly porous silica, exhibited a significantly higher extraction performance owing to their larger surface areas, reducing the sulfur content to less than 100 ppm in one stage. Multistage extraction with these SILP materials reduced the sulfur level to 50 ppm in the second stage. The SILP technology offers very efficient utilization of ionic liquids and circumvents mass transport limitations because of the small film thickness and large surface area, and allows application of the simple packed-bed column extraction technique.

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A numerical simulation for effective elastic moduli of plates with various distributions and sizes of cracks

Cited by 42 publications

References 40 publications

On the puzzling feature of the silence of precursory electromagnetic emissions

On the puzzling feature of the silence of precursory electromagnetic emissions

The influence of crack-orientation distribution on the mechanical properties of pre-cracked brittle media

Ionic Liquids in Refinery Desulfurization: Comparison between Biphasic and Supported Ionic Liquid Phase Suspension Processes

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