Experimental study of the association between sandstone size effect and strain rate effect

다국어 초록 (Multilingual Abstract)

The association between sandstone size effect and strain rate effect were investigated experimentally with a split Hopkinson pressure bar (SHPB) system. The sandstone samples with Φ50 mm and different lengths were loaded under the constant ratio of punch velocity to sample length to study their size effects. Sandstone samples with constant length of 25 mm were taken as the reference to study their strain rate effects. Results indicate that, under the same velocity of the punch, strain rate of each sandstone sample is inversely proportional sample length; dynamic strength of sandstone increases with the strain rate and the length to diameter ratio (L/D), and presents a quadratic curvilinear relation with strain rate while presenting a cubic curvilinear relation with sample L/D; the reasonable L/D of Φ50 mm sandstone samples ranges from 0.5 to 0.8; that dissipated energy can present a fixed proportional relation with punch kinetic energy is unrelated to sample length.

참고문헌 (Reference)

1 S. Liang, "The study on damage evolution and constitutive model of the granite under constant strain rate impact" China University of Mining and Technology 2016

2 S. Li, "The effect of specimen length in 75 mm split Hopkinson pressure bar experiment" 39 (39): 93-97, 2010

3 E. D. H. Davies, "The dynamic compression testing of solids by the method of the split Hopkinson pressure bar" 11 (11): 155-179, 1963

4 Y. X. Zhou, "Suggested methods for determining the dynamic strength parameters and mode I. Fracture toughness of rock materials" 49 : 105-112, 2012

5 S. Liang, "Study on the determination of specimen size in SHPB experiments of rock materials" 21 (21): 1-5, 2015

6 L. Hong, "Study on size effect of rock dynamic strength and strain rate sensitivity" 27 (27): 526-533, 2008

7 L. Wang, "Stress Wave Foundation" National Defense Industry Press 122-124, 2010

8 F. Liu, "Strain-rate effect on the compressive strength of brittle materials and its implementation into material strength model" 130 : 113-123, 2019

9 L. Hong, "Size effect on strength and energy dissipation in fracture of rock under impact loads" Central South University of Technology 2008

10 M. M. Elfahal, "Size effect for normal strength concrete cylinders subjected to axial impact" 31 (31): 461-481, 2005

11 T. Krauthammer, "Size effect for high-strength concrete cylinders subjected to axial impact" 28 (28): 1001-1016, 2003

12 C. Zou, "Size and geometry effects on the mechanical properties of carrara marble under dynamic loadings" 49 (49): 1695-1708, 2016

13 X. Li, "Research on the dynamic properties and fracture characteristics of rocks subject to impact loading" 36 (36): 2393-2405, 2017

14 F. Gong, "Reference method for determining sample size in SHPB tests of rock materials" 32 (32): 24-28, 2013

15 D. Li, "On the effect of length to diameter ratio of rock specimens subjected to dynamic and static compression" 33 (33): 93-100, 2018

16 Z. Zhou, "Obtaining constitutive relationship for rate-dependent rock in SHPB tests" 43 (43): 697-706, 2010

17 C. E. Frantz, "New experimental techniques with the split Hopkinson pressure bar" 17-21, 1984

18 S. Ellwood, "Materials testing at high constant strain rates" 15 (15): 280-282, 1982

19 R. Yang, "Experimental study on the dynamic properties of three types of rock at negative temperature" 37 : 455-464, 2018

20 C. Zhai, "Experimental study of strain rate effects on normal weight concrete after exposure to elevated temperature" 50 (50): 40-, 2017

21 M. Li, "Experimental study of mechanical properties on strain rate effect of sandstones after high temperature" 35 (35): 3479-3488, 2014

22 A. D. Barr, "Effects of strain rate and moisture content on the behavior of sand under one-dimensional compression" 56 (56): 1625-1639, 2016

23 H. Ahmadian, "Effect of microstructure deficiency on quasi-static and dynamic compressive strength of crystalline rocks" 2018

24 Y. Liu, "Effect of axial static stress on mechanical properties of post-peak cracked sandstone under impact loading" 43 (43): 1281-1288, 2018

25 F. Gong, "Dynamic triaxial compression tests on sandstone at high strain rates and low confining pressures with split Hopkinson pressure bar" 113 : 211-219, 2019

26 X. Xie, "Dynamic properties of sandstones with different shapes" 48 (48): 2441-2448, 2017

27 X. Li, "Dynamic characteristics of granite subjected to intermediate loading rate" 38 (38): 21-39, 2005

28 C. E. Fairhurst, "Draft ISRM suggested method for the complete stress-strain curve for intact rock in uniaxial compression" 36 (36): 279-289, 1999

29 J. M. Lifshitz, "Data processing in the split Hopkinson pressure bar tests" 15 : 723-733, 1994

30 M. He, "Classification and research methods of rock burst experimental fragments" 28 (28): 1521-1529, 2009

31 X. Liu, "Acoustic emission characteristics analysis of rock under impact loading of different strain rate" 35 (35): 1-8, 2018

32 X. Li, "A study on the dynamic properties and energy absorption of rocks" Central South University of Technology 1986

33 T. C. Togami, "A split Hopkinson bar technique to evaluate the performance of accelerometers" 63 (63): 353-, 1996

34 W. Chen, "A split Hopkinson bar technique for low-impedance materials" 39 (39): 81-85, 1999

35 V. Bindiganavile, "A comment on the paper “Size effect for high-strength concrete cylinders subjected to axial impact”" 30 (30): 873-875, 2004