A Criterion for Brittle Failure of Rocks Using the Theory of Critical Distances

Castro, José Villaverde; Cicero, Sergio; Sagaseta, C.

doi:10.1007/s00603-015-0728-8

Cited by 14 publications

(3 citation statements)

References 63 publications

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“…One cannot predict the direction and path of crack propagation in rocks without crack initiation criterion (or fracture criterion), which is required to judge whether a crack implemented in many studies (Castro et al 2016;Gupta et al 2015;Kong et al 1995;Maiti and Smith 1983;Mróz and Mróz 2010;Smith et al 2001;Zanganeh et al 2008).…”

Section: Crack Extension Criteriamentioning

confidence: 99%

“…The theoretical predictions presented in this study move one step forward than the available analytical solutions for the angled crack subjected to general bi-axial load and agree well with those from experimental tests. (Aliha et al 2012;Amarasiri et al 2011;Bakuckas et al 1993;Broberg 1987;Castro et al 2016;Eftis and Subramonian 1978;Erarslan and Williams 2013;Funatsu et al 2014;Mirsayar 2014;Park and Bobet 2009;Wu and Wong 2012;Wu and Wong 2013;Xeidakis et al 1997). However, relatively little is known about cracking phenomena in brittle materials such as rock under combined tensile and compressive loads.…”

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confidence: 99%

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Brittle fracture of rock under combined tensile and compressive loading conditions

2017

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The brittle fracture of rock with an angled crack under combined tensile and compressive loading conditions is studied using linear elastic fracture mechanics (LEFM). The modified maximum tangential stress criterion (MTSC) and the maximum shear stress criterion (MSSC) are used to check crack initiations in the tensile and shear modes, respectively. The effects of the friction coefficient of the crack surfaces and the nonsingular stresses (T stresses) on the crack initiation are studied for the cases of both low and high compressive confining pressure coefficients. The T stresses include those both parallel (Tx) and perpendicular (Ty) to the crack plane. The type of crack initiation under the combined tensile and compressive loading conditions is found to remain tensile dominated when the compressive confining pressure coefficient is small. However, shear crack extension becomes possible with the compressive confining pressure coefficient and friction coefficient increasing if the crack orientation angle is small. Moreover, the high compressive confining pressure and substantial friction are found to increase the possibility of shear crack extension. The theoretical predictions presented in this study move one step forward than the available analytical solutions for the angled crack subjected to general biaxial load and agree well with those from experimental tests.

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Section: Crack Extension Criteriamentioning

confidence: 99%

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confidence: 99%

Brittle fracture of rock under combined tensile and compressive loading conditions

2017

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“…In this sense, when dealing with notch assessments, there are two main types of criteria: the global criterion (based on the use of a notch stress intensity factor, analogously to ordinary fracture mechanics), and local criteria (based on the study of stress or strain fields around the notch tip). Among the latter, the theory of critical distances (TCD) stands out, and its applicability in fracture assessments has been widely reported in the literature for a variety of materials (such as polymers [12,13], metals [14,15], composites [16], or ceramics [17,18]). Moreover, the TCD has also been validated to analyze phenomena such as fatigue [19] or environmentally assisted cracking [20] and has been applied to different length scales [19,21,22].…”

Section: Introductionmentioning

confidence: 99%

Coupling Finite Element Analysis and the Theory of Critical Distances to Estimate Critical Loads in Al6060-T66 Tubular Beams Containing Notches

Sánchez

Cicero

Arroyo

et al. 2020

Metals

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This paper validates a methodology for the estimation of critical loads in tubular beams containing notch-type defects. The methodology is particularized for the case of Al6060-T66 tubular cantilever beams containing U-shaped notches. It consists in obtaining the stress field at the notch tip using finite element analysis (FEA) and the subsequent application of the theory of critical distances (TCD) to derive the corresponding critical load (or load-bearing capacity). The results demonstrate that this methodology provides satisfactory predictions of fracture loads.

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Hardening–Softening Constitutive Model of Hard Brittle Rocks Considering Dilatant Effects and Safety Evaluation Index

Huang

Zhang

Ding

2019

Acta Mech. Solida Sin.

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A Criterion for Brittle Failure of Rocks Using the Theory of Critical Distances

Cited by 14 publications

References 63 publications

Brittle fracture of rock under combined tensile and compressive loading conditions

Brittle fracture of rock under combined tensile and compressive loading conditions

Coupling Finite Element Analysis and the Theory of Critical Distances to Estimate Critical Loads in Al6060-T66 Tubular Beams Containing Notches

Hardening–Softening Constitutive Model of Hard Brittle Rocks Considering Dilatant Effects and Safety Evaluation Index

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