Modification of Griffith–McClintock–Walsh model for crack growth under compression to incorporate stick-slip along the crack faces

Singh, Gaurav; Zimmerman, Robert W.

doi:10.1016/j.ijrmms.2014.09.020

Cited by 14 publications

(4 citation statements)

References 13 publications

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“…Through comparison and analysis, it can be found that the prediction of the M-C strength criterion is significantly larger than the test data in the tension-shear coupling zone. In addition, the Griffith strength criterion (Singh and Zimmerman, 2014) markedly overestimates the soil strength in all zones and thus is inapplicable to clay materials. Meanwhile, the hyperbolic strength criterion (Li R. J. et al, 2014) and the Griffith-Mohr strength criterion (Zhang et al, 2010) underestimate the strength of soil under tensionshear stress.…”

Section: Prediction and Verification Of The Tension-shear And Compres...mentioning

confidence: 99%

“…This is mainly because the issue is seemingly simple but actually complex in the intrinsic mechanism. After years of research, some beneficial results of the joint strength theory have been obtained, such as the Griffith strength criterion (Margolin, 1984;Singh and Zimmerman, 2014), the hyperbolic joint strength criterion (Abbo and Sloan, 1995;Li R. J. et al, 2014;Li et al, 2016) and the Griffith-Mohr strength criterion (Vesga, 2009;Zhang et al, 2010). However, most existing research adopts some simplified methods to describe the tension-shear coupling strength owing to the unclear strength mechanism of soil under tension-shear coupling stress.…”

Section: Introductionmentioning

confidence: 99%

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The Tension-Shear and Compression-Shear Joint Strength Model for Unsaturated Clay and Its Application to Slopes

et al. 2022

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The capillary component and adsorptive component of matric suction differently impact the soil strength. Due to the cavitation effects of pore water, the adsorption effect dominates the behavior of soil when matric suction exceeds the cavitation tension. Based on the binary medium theory, a compression-shear strength model for unsaturated soils considering both capillary effect and adsorption effect is established. Compared with test data, the proposed compression-shear strength model has better prediction performance on the compression-shear strength of soil over a range of wide suction. The soil failure depends both on tension-shear stress and compression-shear stress. The tension-shear coupling mechanism in the soil is first investigated. A concept of closed stress point is introduced to divide the two zones of tension-shear coupling stress and compression-shear stress. According to the compression-shear strength model and tension-shear failure mechanism, the tension-shear and compression-shear joint strength model applicable to plane stress conditions is then established. Compared with test data, the proposed model in this article can better predict the nonlinear strength characteristics of clays and has better applicability. Finally, using the user material subroutine (UMAT), the secondary development of the joint strength model is conducted in ABAQUS and then applied to the slope stability analysis. The calculation results show that the established strength model presents a reasonable description of the development of the tension-shear coupling plastic zone in slope and gives an accurate safety factor.

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Section: Prediction and Verification Of The Tension-shear And Compres...mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

The Tension-Shear and Compression-Shear Joint Strength Model for Unsaturated Clay and Its Application to Slopes

et al. 2022

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“…The fracture mechanics behavior of cracked brittle materials are extensively considered [1][2][3][4][5] by making use of Centrally Cracked Brazilian Disks [6][7][8][9][10][11][12][13][14][15][16][17][18][19][20] CCBD. This disk enables the operation of mixed-mode loading with different ratios.…”

Section: Introductionmentioning

confidence: 99%

Stress intensity factors of partially compressed centrally cracked disk with frictional crack surfaces

Fayed,

Hammouda

2023

Mater. Res. Express

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This work analytically calculates mixed-mode I/II stress intensity factors for an inclined central frictional crack in a Brazilian disc partially compressed with a uniform pressure. Wide-range controlling parameters are invoked. The analyzed parameters include the pressure angle, relative crack length, crack inclination, and friction coefficient between the two crack surfaces. For partially compressed discs, there exists a critical pressure angle at which a crack with any angle will experience pure II loading. This critical pressure angle is not affected by friction and decreases as the crack length increases. A crack of any angle becomes inactive once the pressure angle exceeds another critical value of pressure angle. This value decreases as the friction coefficient or/and crack length increases. The handling of frictional surfaces of short cracks is simplified. The analysis defines the conditions to have (1) the crack opened and (2) the two crack surfaces sticking. A close agreement is achieved with relevant findings in previous relevant investigations. The present results do not exist in relevant literature and are valuable in solving fracture mechanics problems of significance in relation to crack path in cracked brittle materials.

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“…Rockmass is a discrete medium composed of rock material and discontinuities including faults, fractures, joints, veins, bedding planes, cleavage planes, and schistosity planes, among others. Such discontinuities dominate the kinematical and mechanical behaviour of engineering rockmass 1 2 3 4 5 , with the analysis of this behaviour extending to various applications in such areas as rockmass stability evaluation, rockmass permeability analysis, rockmass quality calculation and other related fields, using three-dimensional rockmass models frequently generated via discrete fracture network (DFN) modelling with input geometrical variables including orientation 6 7 8 9 10 11 12 13 14 15 . These orientations are primarily measured on fresh rock exposures, with previous studies reporting various representative techniques 16 17 18 19 .…”

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confidence: 99%

A novel method for correcting scanline-observational bias of discontinuity orientation

Huang

Tang

Tan

et al. 2016

Sci Rep

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Scanline observation is known to introduce an angular bias into the probability distribution of orientation in three-dimensional space. In this paper, numerical solutions expressing the functional relationship between the scanline-observational distribution (in one-dimensional space) and the inherent distribution (in three-dimensional space) are derived using probability theory and calculus under the independence hypothesis of dip direction and dip angle. Based on these solutions, a novel method for obtaining the inherent distribution (also for correcting the bias) is proposed, an approach which includes two procedures: 1) Correcting the cumulative probabilities of orientation according to the solutions, and 2) Determining the distribution of the corrected orientations using approximation methods such as the one-sample Kolmogorov-Smirnov test. The inherent distribution corrected by the proposed method can be used for discrete fracture network (DFN) modelling, which is applied to such areas as rockmass stability evaluation, rockmass permeability analysis, rockmass quality calculation and other related fields. To maximize the correction capacity of the proposed method, the observed sample size is suggested through effectiveness tests for different distribution types, dispersions and sample sizes. The performance of the proposed method and the comparison of its correction capacity with existing methods are illustrated with two case studies.Rockmass is a discrete medium composed of rock material and discontinuities including faults, fractures, joints, veins, bedding planes, cleavage planes, and schistosity planes, among others. Such discontinuities dominate the kinematical and mechanical behaviour of engineering rockmass [1][2][3][4][5] , with the analysis of this behaviour extending to various applications in such areas as rockmass stability evaluation, rockmass permeability analysis, rockmass quality calculation and other related fields, using three-dimensional rockmass models frequently generated via discrete fracture network (DFN) modelling with input geometrical variables including orientation [6][7][8][9][10][11][12][13][14][15] . These orientations are primarily measured on fresh rock exposures, with previous studies reporting various representative techniques [16][17][18][19]

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Modification of Griffith–McClintock–Walsh model for crack growth under compression to incorporate stick-slip along the crack faces

Cited by 14 publications

References 13 publications

The Tension-Shear and Compression-Shear Joint Strength Model for Unsaturated Clay and Its Application to Slopes

The Tension-Shear and Compression-Shear Joint Strength Model for Unsaturated Clay and Its Application to Slopes

Stress intensity factors of partially compressed centrally cracked disk with frictional crack surfaces

A novel method for correcting scanline-observational bias of discontinuity orientation

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