Failure of rocks under tensile conditions

Jaeger, J. C.

doi:10.1016/0148-9062(67)90046-0

Cited by 261 publications

(107 citation statements)

References 10 publications

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“…the reduction in volume for a given vertical stress. This proposition also seems feasible if one envisages a sand particle bonded by cement to other particles-the cement will increase the contact area, which would reduce the induced tensile stress [13]. With this in mind, a final alternative configuration is presented with the aim of reproducing the behaviour of cemented sand in compression, in which bond breakage must precede any particle breakage.…”

Section: Inter-particle Bondingmentioning

confidence: 99%

“…Although the stresses in a spherical particle vary as a function of position within the volume of the particle [13,14], the simplification of using the average octahedral shear stress provides a simple criterion to facilitate breakage taking into account multiple contacts and different contact forces on a particle surface while avoiding the use of agglomerates. For PFC3D [15], for a sphere compressed diametrically between two walls, the value of q generated using the above equation is equivalent to:…”

Section: Numerical Modelmentioning

confidence: 99%

“…and so is 0.9 times the induced characteristic stress according to Jaeger [13]. Therefore the assumption was made that for particles loaded under multiple contacts, the particle would break if the octahedral shear stress was greater than or equal to its 'strength'.…”

Section: Numerical Modelmentioning

confidence: 99%

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Discrete element modelling of one-dimensional compression of cemented sand

Bono

McDowell

2013

Granular Matter

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It has recently been shown that the onedimensional normal compression of sand can be modelled effectively in three-dimensions using the discrete element method, and that the slope of the compression curve (in log voids ratio-log stress space) is controlled by the size effect on average particle strength. This paper incorporates soil structure by simulating cemented sand, and the effects of interparticle bonding (including bond strength and strength distributions) on the one-dimensional compression behaviour and evolving particle size distributions are investigated. The results show that bonding reduces particle crushing, and it is both the magnitude and distribution of bond strengths that influence the compression curve of the structured material.

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Section: Inter-particle Bondingmentioning

confidence: 99%

Section: Numerical Modelmentioning

confidence: 99%

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Discrete element modelling of one-dimensional compression of cemented sand

Bono

McDowell

2013

Granular Matter

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“…These studies reviewed again several other works that were assessing the strength of irregular shaped particles. Most studies concluded that the highest tensile stress occurs in the centre of the particle and the strength of the material is given by the load at failure divided by the diameter squared [30,31] as presented in Tab. 1.…”

Section: Strength Calculation Of Brittle Spheres Under Uniaxial Comprmentioning

confidence: 99%

Mechanical properties of lightweight aggregates

Bernhardt

Tellesbø²,

Justnes

et al. 2013

Journal of the European Ceramic Society

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Lightweight aggregates (LWA) were successfully produced both in a pilot-scale rotary kiln and in a laboratory chamber furnace. The mechanical properties of LWA were investigated in detail applying the European standard crushing resistance test (CR-test) 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 2 stresses in the centre of the pellet and the strength was observed to increase exponentially with decreasing sample size. The relationship between the CR-and spc-test has been established facilitating "translation" of strength data between the two different test methods.

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“…Following Jaeger [3], McDowell [4] measured the tensile strength of sand grains by diametral compression between flat platens as σ = F / d 2 , and showed that the stresses at failure for a given particle size satisfied a Weibull distribution of strengths. These distributions were described by a characteristic value of strength, σ0 and a Weibull modulus, m. In PFC3D, the value of octahedral shear stress, q induced in a particle compressed diametrically between two walls is proportional to F / d 2 [2]; hence, McDowell and de Bono [1] assumed that for a particle under multiple contacts, the particle would break if the octahedral shear stress was greater than or equal to its strength, where the strengths of the particles satisfy a Weibull distribution of q values.…”

Section: Introductionmentioning

confidence: 99%

Investigating the effects of particle shape on normal compression and overconsolidation using DEM

Bono

McDowell

2016

Granular Matter

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Discrete element modelling of normal compression has been simulated on a sample of breakable two-ball clumps and compared to that of spheres. In both cases the size effect on strength is assumed to be that of real silica sand. The slopes of the normal compression lines are compared and found to be consistent with the proposed equation of the normal compression line. The values of the coefficient of earth pressure at rest K0,nc are also compared and related to the critical state fiction angles for the two materials. The breakable samples have then been unloaded to establish the stress ratios on unloading. At low overconsolidation ratios the values of K0 follow a wellestablished empirical relationship and realistic Poisson ratios are observed. On progressive unloading both samples head towards passive failure, and the values of the critical state lines in extension in q-p' space are found to be consistent with the critical state angles deduced from the values of K0 during normal compression. The paper highlights the important role of particle shape in governing the stress ratio during both normal compression and subsequent overconsolidation.

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Failure of rocks under tensile conditions

Cited by 261 publications

References 10 publications

Discrete element modelling of one-dimensional compression of cemented sand

Discrete element modelling of one-dimensional compression of cemented sand

Mechanical properties of lightweight aggregates

Investigating the effects of particle shape on normal compression and overconsolidation using DEM

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