Relationship between diameter of split Hopkinson pressure bar and minimum loading rate under rock failure

Abstract

In order to investigate the relationship between bar diameter and loading rate of the split Hopkinson pressure bar(SHPB) setup under the failure of rock specimen and realize the medium strain rate loading of specimen, new SHPB setups with different elastic bar’s diameters of 22, 36, 50 and 75 mm were constructed. The tests were carried out on these setups at different loading rates, and the specimens had the same diameter of elastic bars and same ratio of length to diameter. The test results show that the larger the elastic bar’s diameter is, the less the loading rate is needed to cause specimen failure, they show good power relationship, and that under the same strain rate loading, specimens are broken more seriously with larger diameter SHPB setup than with smaller one.

Keywords

rock failure / Hopkinson pressure bar / diameter / minimum loading rate / medium strain rate

References

[1] LiX.-b., GuD.-sheng.Rock impact dynamics[M], 1994, Changsha, Central South University of Technology of Technology Press

[2] FieldJ. E., WalleyS. M., ProudW. G., GoldreinH. T., SiviourC. R.. Review of experimental techniques for high rate deformation and shock studies[J]. International Journal of Impact Engineering, 2004, 30(7): 725-775

[3] LiX. B., LokT. S., ZhaoJ.. Dynamic characteristics of granite subjected to intermediate loading rate[J]. Rock Mechanics and Rock Engineering, 2005, 38(1): 21-39

[4] PerkinR. D., GreenS. J., FriedmanM.. Uniaxial stress behavior of porphritic tonalite at strain rates to 103/sec[J]. Int J Rock Mech Min Sci, 1970, 7(5): 527-535

[5] GreenJ. S., PerkinsR. D.. Uniaxial compression tests at varying strain rates on three geologic materials[J]. Basic and Applied Rock Mechanics, 1970, 3(5): 35-37

[6] BlabtonT. L.. Effect of strain rates from 10⁻²–10⁻¹ in triaxial compression tests on three rocks[J]. Int J Rock Mech Min Sci, 1981, 18(1): 47-62

[7] ZhangX.-f., XiaY.-ming.. Development of material testing apparatus for intermediate strain rate test[J]. Journal of Experimental Mechanics, 2001, 16(1): 13-18

[8] DaviesE. D. H., HunterS. C.. The dynamic compression testing of solids by the method of the split Hopkinson pressure bar[J]. J Mech Phys Solids, 1963, 11(3): 155-179

[9] LOK T S, LI X B, ZHAO P J. Uniaxial compression tests on granite and its stress-strain relationship at high strain rate [C]// Proceedings of the 2001 ISRM International Symposium. WANG S J. Lisse: AA Balkema, 2001: 85–87.

[10] RossC. A., TedescoJ. W., KuennenS. T.. Effect of strain rate on concrete strength[J]. ACI Materials Journal, 1995, 92(1): 37-47

[11] ZhengS., Haussler-combeU., EiblJ.. New approach to strain rate sensitivity of concrete in compression[J]. Journal of Engineering Mechanics, 1999, 125(12): 1403-1410

[12] EiblJ., Schmidt-hurtienneB.. Strain-rate-sensitive constitutive law for concrete[J]. Journal of Engineering Mechanics, 1999, 125(12): 1411-1420

[13] LiX.-b., ZhouZ.-l., WangW.-hua.. Construction of ideal striker for SHPB device based on FEM and neural network[J]. Chinese Journal of Rock Mechanics and Engineering, 2005, 24(23): 4215-4218

[14] LokT. S., LiX. B., LiuD., ZhaoP. J.. Testing and response of large diameter brittle materials subjected to high strain rate[J]. Journal of Materials in Civil Engineering, 2002, 14(3): 262-269

[15] LiX. B., LokT. S., ZhaoJ., ZhaoP. J.. Oscillation elimination in the Hopkinson bar apparatus and resultant complete dynamic stress-strain curves for rocks[J]. International Journal of Rock Mechanics and Mining Sciences, 2000, 37(7): 1055-1060

[16] GongJ. C., MalvernL. E., JenkinsD. A.. Dispersion investigation in the split Hopkinson pressure bar[J]. Journal of Engineering Materials and Technology, 1990, 112(3): 309-314

[17] ZhaoH., GerardG.. On the use of SHPB techniques to determine the dynamic behavior of materials in the range of small strains[J]. International Journal of Solids and Structures, 1996, 33(23): 3363-3375

[18] LifshitzJ. M., LeberH.. Data processing in the split Hopkinson pressure bar tests[J]. International Journal of Impact Engineering, 1994, 15(6): 723-733

[19] LiX.-b., LiuD.-s., GuD.-sheng.. Effective method of eliminating the oscillation of rock dynamic stress-strain-strain rate curves[J]. J Cent South Univ Technol: Natural Science, 1995, 26(4): 457-460

[20] LiX.-b., GuD.-s., LaiH.-hui.. On the reasonable loading stress waveforms determined by dynamic stress-strain curves of rocks by SHPB[J]. Explosion and Shock Waves, 1993, 13(2): 125-130