Skip to main content
Log in

Effects of size and strain rate on the mechanical behaviors of rock specimens under uniaxial compression

  • Original Paper
  • Published:
Arabian Journal of Geosciences Aims and scope Submit manuscript

Abstract

Size and strain rate are two key factors that dramatically influence the estimation of rock mechanical behaviors. To better understand the effects of size and strain rate on measured rocks, rock specimens with six different sizes were tested at six different strain rates under uniaxial compression using the MTS 815 Rock Mechanics Test System. Having determined that the size and strain rate significantly affect the peak strain, peak stress, elastic modulus, acoustic emission (AE), and failure pattern of the rock specimens, the relation was established between the strength and the size and strain rate of red sandstone. And the variation was revealed among the size and strain rate, the AE, and the failure pattern. It turned out that the peak stress was negatively correlated with the rock size and was positively correlated with the strain rate. When the length to diameter ratio (L/D) of the rock specimen was less than 2.0, the AE appeared mildly. The AE quantities gradually increased before the peak stress, and then sharply decreased after the peak stress. The failure pattern of the rock specimen was relatively complicated, with a fracture plane appearing along the axial direction. Conical failure type was also presented. When the L/D ratio of the specimen was greater than 2.0, the AE characteristics of red sandstone showed the radical model. There were relatively few AE rings before the peak stress. But the AE rings increased suddenly and dramatically during the peak stress. The rock specimens primarily failed with a single shear plane. Moreover, with an increase in the strain rate, the AE activities were enhanced and the AE quantities increased. When the strain rate of the rock specimen was less than 5.0 × 10−4/s, the rock specimen failed with a shear or tensile-shear pattern. And when the strain rate was greater than 5.0 × 10−4/s, the rock specimen tended to fail in a conical pattern.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13

Similar content being viewed by others

References

  • Alarcon RL, Brocato M, Dal PS, Feraille A (2010) Size effect in concrete intrinsic permeability measurements. Transpotr in Porous Media 85:541–564

    Article  Google Scholar 

  • Araei AA, Razeghi HR, Ghalandarzadeh A, Tabatabaei SH (2012) Effects of loading rate and initial stress state on stress–strain behavior of rock fill materials under monotonic and cyclic loading conditions. Scientia Iranica 19:1220–1235

    Article  Google Scholar 

  • Ayatollahi M, Akbardoost J (2014) Size and geometry effects on rock fracture toughness: mode I fracture. Rock Mech Rock Eng 47:677–687

    Article  Google Scholar 

  • Bazant ZP (1999) Size effect on structural strength: a review. Arch Appl Mech 69:703–725

    Article  Google Scholar 

  • Bieniawski ZT (1968) The effect of specimen size on compressive strength of coal. Int J Rock Mech Min Sci 5:325–335

    Article  Google Scholar 

  • Bieniawski ZT (1970) Time-dependent behavior of fractured rock. Rock Mech Rock Eng 2:123–137

    Article  Google Scholar 

  • Biondi G, Cascone E, Maugeri M (2002) Flow and deformation of sandy slopes. Soil Dyn Earthq Eng 22:1103–1114

    Article  Google Scholar 

  • Brantut N, Heap MJ, Baud P, Meredith PG (2014) Rate and strain-dependent brittle deformation of rocks. J Geophys Res-solid Earth 119:1818–1836

    Article  Google Scholar 

  • Cadoni E (2010) Dynamic characterization of orthogneiss rock subjected to intermediate and high strain rates in tension. Rock Mech Rock Eng 43:667–676

    Article  Google Scholar 

  • Carpinteri A, Puzzi S (2006) A fractal approach to indentation size effect. Eng Fract Mech 73:2110–2122

    Article  Google Scholar 

  • Cho SH, Ogata YJ, Kaneko K (2003) Strain-rate dependency of the dynamic tensile strength of rock. Int J Rock Mech Min Sci 40:763–777

    Article  Google Scholar 

  • Chong KP, Hoyt PM, Smith JW, Paulsen BY (1980) Effects of strain rate on oil shale fracturing. Int J Rock Mecha and Min Sci and Geomech Abstr 17:35–43

    Article  Google Scholar 

  • Dai F, Huang S, Xia K, Tan Z (2010) Some fundamental issues in dynamic compression and tension tests of rocks using split hopkinson pressure bar. Rock Mech Rock Eng 43:657–666

    Article  Google Scholar 

  • Darlington WJ, Ranjith PG, Choi SK (2011) The effect of specimen size on strength and other properties in laboratory testing of rock and rock-like cementitious brittle materials. Rock Mech Rock Eng 44:513–529

    Article  Google Scholar 

  • Galouei M, Fakhimi A (2015) Size effect, material ductility and shape of fracture process zone in quasi-brittle materials. Comput Geotech 65:126–135

    Article  Google Scholar 

  • Hudson JA, Crouch S (1972) Soft, stiff and servo-controlled testing machines. Eng Geol 6:155–189

    Article  Google Scholar 

  • Kim JK, Yi ST, Park CK, Eo SH (1999) Size effect on compressive strength of plain and spirally reinforced concrete cylinders. ACI Struct J 96:88–96

    Google Scholar 

  • Li HB, Zhao J, Li TJ (1999) Triaxial compression tests on a granite at different strain rates and confining pressures. Rock Mech Min Sci 36:1057–1063

    Article  Google Scholar 

  • Li HB, Zhao J, Li TJ (2000) Micromechanical modeling of the mechanical properties of a granite under dynamic uniaxial compressive. Rock Mech Min Sci 37:923–935

    Article  Google Scholar 

  • Li HB, Zhao J, Li TJ, Yuan JX (2001) Analytical simulation of the dynamic compressive strength of a granite using the sliding crack model. Numer Anal Methods in Geomech 25:853–869

    Article  Google Scholar 

  • Liang CY, Wu SR, Li X, Xin P (2015) Effects of strain rate on fracture characteristics and mesoscopic failure mechanisms of granite. Int J Rock Mech Min Sci 76:146–154

    Google Scholar 

  • Mahmutoglu Y (2006) The effects of strain rate and saturation on a micro-cracked marble. Eng Geol 82:137–144

    Article  Google Scholar 

  • Olsson WA (1991) The compressive strength of tuff as a function of strain rate from 10−6 to 103 sec. International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts 28:115–118

    Article  Google Scholar 

  • Peng SS (1973) Time-dependent aspects of rock behavior as measured by a servocontrolled hydraulic testing machine. International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts 10:235–246

    Article  Google Scholar 

  • Peng SS, Podnieks ER (1972) Relaxation and the behavior of failed rock. International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts 9:699–712

    Article  Google Scholar 

  • Pratt HR, Black AD, Brown WS (1972) The effect of specimen size on the mechanical properties of unjointed diorite. Int J Rock Mech Min Sci 9:513–529

    Article  Google Scholar 

  • Qi CZ, Wang MY, Bai JP, Li KR (2014) Mechanism underlying dynamic size effect on rock mass strength. International Journal of Impact Engineering 68:1–7

    Article  Google Scholar 

  • Su CD, Guo BH, Tang X (2013) Research on acoustic emission characteristics of Zhangcun coal samples in two sizes subject to uniaxial compression. J China Coal Soc 38:12–18

    Google Scholar 

  • Su HJ, Jing HW, Mao XB, Zhao HH, Yin Q, Wang C (2015) Size effect of sandstone after high temperature under uniaxial compression. J Cent South Univ 22:1901–1908

    Article  Google Scholar 

  • Tang CA, Liu H, Lee PKK, Tsui Y, Tham LG (2000) Numerical studies of the influence of microstructure on rock failure in uniaxial compression—part II: constraint, slenderness and size effect. Int J Rock Mech Min Sci 37:571–583

    Article  Google Scholar 

  • Van Mier JGM, Van Vliet MRA (2003) Influence of microstructure of concrete on size/scale effects in tensile fracture. Eng Fract Mech 70:2281–2306

    Article  Google Scholar 

  • Wang HL, Fan PX, Wang MY, Li WP, Qian YL (2011) Influence of strain rate on progressive failure process and characteristic stresses of red sandstone. Rock Soil Mech 32:1340–1346

    Google Scholar 

  • Wasantha PLP, Ranjith PG, Zhao J, Shao SS, Permata G (2015) Strain rate effect on the mechanical behaviour of sandstones with different grain sizes. Rock Mech Rock Eng 48:1883–1895

    Article  Google Scholar 

  • Weibull W (1951) A statistical distribution of wide applicability. J Appl Mech 18:293–297

    Google Scholar 

  • Weiss J, Girard L, Gimbert F, Amitrano D, Vandembroucq D (2014) Statistical size effects on compressive strength. Proc Natl Acad Sci U S A 111:6231–6236

    Article  Google Scholar 

  • Yang SQ, Su CD, Xu WY (2005) Experimental and theoretical study of size effect of rock material. Chin J Rock Mech Eng 22:112–118

    Article  Google Scholar 

  • Yang SQ, Jing HW, Xu T (2014) Mechanical behavior and failure analysis of brittle sandstone specimens containing combined flaws under uniaxial compression. J Cent South Univ 21:2059–2073

    Article  Google Scholar 

  • You MQ (2000) Rock sample failure process of strength and deformation. Geological Publishing House, Beijing

    Google Scholar 

Download references

Acknowledgments

General and financial supports for this research, provided by the Fundamental Research Funds for the Central Universities (No. 2015QNA62), the National Science Fund for Excellent Young Scholars of China (No. 51322401), and the 973 National Basic Research Program (No. 2015CB251601), are gratefully acknowledged.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Mingwei Zhang.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Meng, Q., Zhang, M., Han, L. et al. Effects of size and strain rate on the mechanical behaviors of rock specimens under uniaxial compression. Arab J Geosci 9, 527 (2016). https://doi.org/10.1007/s12517-016-2559-7

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s12517-016-2559-7

Keywords

Navigation