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An SHPB Test Study on Stress Wave Energy Attenuation in Jointed Rock Masses

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Abstract

A series of dynamic tests were carried out to investigate the effect of joint roughness on the wave energy attenuation in rock masses and estimate the relation between joint roughness and seismic quality factor of rock masses. The modified split Hopkinson pressure bar (SHPB) apparatus was adopted in this study, where the loading, input and output bars were made of gypsum. The propagation coefficient of the gypsum bars was measured from trial tests. According to the propagation coefficient of the gypsum bars, the strain, stress and particle velocity on the contact surfaces between the specimen and input/output bars were obtained from the test data recorded by the strain gauges. The specimens were prepared by a three-dimensional printer with plaster and binder. Each specimen modeled a rock mass with one joint with different roughness. The seismic quality factor of specimen is also estimated from the proposed approach of wave energy dissipation. The effects of joint roughness on the seismic quality factor of rock mass and the wave energy attenuation across the rock mass are analyzed from test results.

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Abbreviations

Z 2 :

Root mean square of the first derivative of the profile curve

Δx :

Scanning interval of points on the profile curve of joint surface

\({y_i}\) :

Vertical height of point on the profile curve of joint surface

m :

Sampling number of the profile curve

D s :

Diameter of the specimen

l s :

Length of the specimen

Q seismic :

Seismic quality factor of rock mass

ΔW and W :

Dissipation energy and maximum deformation energy of the specimen in one cycle of a harmonic excitation

σ :

Stress on the specimen

ε :

Strain of the specimen

\(\dot {\varepsilon }\) :

Strain rate of the specimen

ε max :

Maximum value of strain

V s :

Volume of the specimen

W I, W R and W T :

Energies of incident, reflected and transmitted waves, respectively

W S :

Deformation energy of the specimen

t :

Time

A and A s :

Cross-sectional area of the SHPB bars and specimen, respectively

ε i, ε r and ε t :

Strains caused by the incident, reflected and transmitted waves, respectively, on the input/output bar end contacted to the specimen

σ i, σ r and σ t :

Stress caused by the incident, reflected and transmitted waves, respectively, on the input/output bar end contacted to the specimen

\({\varepsilon _m}\), \({\sigma _m}\) and \({v_m}\) :

Strain, stress and particle velocity caused by the waves on the interfaces between the specimen and input/output bars, respectively, and the subscript m is i, r or t for the incident, reflected and transmitted waves, respectively

\({\tilde {\varepsilon }_m}\), \({\tilde {\sigma }_m}\) and \({\tilde {v}_m}\) :

Fourier forms of the strain, stress and particle velocity caused by the waves on the contact surfaces between the specimen and input/output bars, respectively, and the subscript m is i, r or t for the incident, reflected and transmitted waves, respectively

\({\tilde {\varepsilon }^{\prime}_m}\) :

Fourier forms of strain due to the waves measured by the gauges on the input and output bars, and subscript m is i, r or t for the incident, reflected and transmitted waves, respectively

x :

Distance of wave propagation from the strain gauges to the contact surface between the specimen and input/output bar

γ :

Propagation coefficient of viscoelastic medium

α and k :

Attenuation coefficient and wave number, respectively

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Acknowledgements

The study was supported by Chinese National Science Research Fund (Grant nos. 41525009, 51439008, 41831281).

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Authors and Affiliations

  1. State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan, 430071, China

    J. C. Li, L. F. Rong, H. B. Li & S. N. Hong

  2. University of Chinese Academy of Science, Beijing, 100049, China

    L. F. Rong & S. N. Hong

  3. School of Civil Engineering, Southeast University, Nanjing, 210096, China

    J. C. Li

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  1. J. C. Li
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  2. L. F. Rong
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  3. H. B. Li
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  4. S. N. Hong
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Correspondence to J. C. Li.

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Li, J.C., Rong, L.F., Li, H.B. et al. An SHPB Test Study on Stress Wave Energy Attenuation in Jointed Rock Masses. Rock Mech Rock Eng 52, 403–420 (2019). https://doi.org/10.1007/s00603-018-1586-y

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  • DOI: https://doi.org/10.1007/s00603-018-1586-y

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