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Bulletin of Engineering Geology and the Environment

, Volume 78, Issue 8, pp 5919–5936 | Cite as

Quantitative evaluation of rock brittleness based on crack initiation stress and complete stress–strain curves

  • Guoqing ChenEmail author
  • Wanzeng Jiang
  • Xiang Sun
  • Cong Zhao
  • Chang’An Qin
Original Paper
  • 223 Downloads

Abstract

Brittleness is an important rock material property, and its accurate evaluation has guiding significance in construction as well as in disaster prevention and reduction. Considering the limitations of the existing brittleness indices, a new brittleness index based on the overall stress–strain process of a rock mass is established that considers both the stress growth rate between the peak stress and the crack initiation stress before the peak, as well as the stress descent rate after the peak. Uniaxial and triaxial compression tests were conducted to evaluate the new index. The results of the tests show that the new index can accurately determine the rock brittleness according to the prepeak stress–strain curve under uniaxial loading system conditions, which compensates for the limitation of inaccurate postpeak curves for brittle rock. Under triaxial compression conditions, the new index more clearly represents the influence of the confining pressure on the brittleness of marble. The reliability and comprehensiveness of the new index are verified, and these research results may improve the existing evaluation of rock brittleness.

Keywords

Rock mechanics Brittleness index Stress–strain curve Crack initiation Influence of confining pressure 

List of symbols

B

Brittleness index

σ1

Major principal stress

σ3

Minor principal stress

σc

Uniaxial compressive strength

σt

Splitting tensile strength

σi

Crack initiation stress

τp

Peak compressive strength

τr

Residual compressive strength

εp

Peak strain

εr

Residual strain

ε

Axial strain

\( {\varepsilon}_c^p \)

Plastic strain necessary for cohesion loss

\( {\varepsilon}_f^p \)

Plastic strain necessary for frictional strengthening

Wr

Recoverable strain energy

W

Total strain energy

E

Elasticity modulus of prepeak

ν

Poisson’s ratio

M

Elasticity modulus of postpeak

kac

Stress slope of postpeak

φ

Internal friction angle

RTRI

Rock tenacity rating index

SF

Stiffness factor

GF

Texture factor

FF

Foliation factor

Hμ

Microhardness of rock

H

Macrohardness of rock

KIC

Fracture toughness

S20

Proportion of detritus whose particle size is smaller than 11.2mm

q

Proportion of detritus whose particle size is smaller than 0.6mm

Fmax

Maximum impact load

P

Penetration depth

Pdec

Increment load

Pinc

Attenuation load

Notes

Acknowledgements

This work is supported by the National Key R&D Program of China (2017YFC1501301) and the National Natural Science Foundation of China (grant nos. 41521002 and 41572283). This work is also supported by the Funding of Science and Technology Office of Sichuan Province (grant no. 2017TD0018) and the research fund of the State Key Laboratory of Geohazard Prevention and Geoenvironment Protection (no. SKLGP2018Z011).

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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.State Key Laboratory of Geohazard Prevention and Geoenvironment ProtectionChengdu University of TechnologyChengduChina

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