Browse > Article
http://dx.doi.org/10.3795/KSME-A.2010.34.5.511

Numerical Investigation of Frictional Effects and Compensation of Frictional Effects in Split Hopkinson Pressure Bar (SHPB) Test  

Cha, Sung-Hoon (Graduate School of NID Fusion Tech., Seoul Nat'l Univ. of Tech.)
Shin, Hyun-Ho (Dept. of Materials Engineering, Gangneung-Wonju Nat'l Univ.)
Kim, Jong-Bong (Dept. of Automotive Engineering, Seoul Nat'l Univ. of Tech.)
Publication Information
Transactions of the Korean Society of Mechanical Engineers A / v.34, no.5, 2010 , pp. 511-518 More about this Journal
Abstract
The split Hopkinson pressure bar (SHPB) has been widely used to determine the mechanical properties of materials at high loading rates. However, to ensure test reliability, the source of measurement error must be identified and eliminated. During the experiment, specimens were placed between the incident and the transmit bar. Contact friction between the test bars and specimen may cause errors. In this study, numerical experiments were carried out to investigate the effect of friction on the test results. In the SHPB test, the stress measured by the transmitted bar is assumed to be the flow stress of the test specimen. However, performing numerical experiments, it was shown that the stress measured by the transmit bar is axial stress components. When the contact surface is frictionless, the flow stress and axial stress of the specimen are approximately equal. On the other hand, when the contact surface is not frictionless, the flow stress and axial stress are no longer equal. The effect of friction on the difference between the flow stress and axial stress was investigated.
Keywords
High Strain Rates; Split Hopkinson Pressure Bar; Incident Bar; Transmitted Bar;
Citations & Related Records

Times Cited By SCOPUS : 0
연도 인용수 순위
  • Reference
1 Hartley, R. S., Cloete, T. J. and Nurick, G. N., 2007, “An Experimental Assessment of Friction Effects in the Split Hopkinson Pressure Bar Using the Ring Compression Test,” International Journal of Impact Engineering, Vol. 34, pp. 1705-1728.   DOI   ScienceOn
2 Meng, H. and Li, Q. M., 2003, “Correlation Between the Accuracy of a Shpb Test and the Stress Uniformity Based on Numerical Experiments,” International Journal of Impact Engineering, Vol. 28, pp. 537-555.   DOI   ScienceOn
3 Sasso, M., Newaz, G. and Amodio, D., 2007, “Material Characterization at High Strain Rate by Hopkinson Bar Tests and Finite Element Optimization,” Materials Science and Engineering A, Vol. 487, pp. 289-300.   DOI   ScienceOn
4 Hopkinson, B., 1914, “A Method of Measuring the Pressure Produced in the Detonation of High Explosives or by the Impact of Bullets,” Philos Trans R Soc Lond Series A, Vol. 213, pp. 437-452.   DOI
5 Chree, C., 1889, “The Equations of an Isotropic Elastic Solid in Polar and Cylindrical Coordinates, Their Solutions and Applications,” Cambridge Phil. Soc. Trans., Vol. 14, p. 250.
6 Gorham, D. A., Pope, P. H. and Cox, O., 1984, “Sources of Error in very High Strain Rate Compression Tests,” Proceedings of the Third Conference on the Mechanical Properties of Materials at High Rates of Strain, Oxford, 9-12 april, 1984, Conference series, No. 70, Instityte of Physics, Great Britain, pp. 151-158.
7 Lee, O. S., Chong, J. H., Kang, H. S. and Kim, J. H., 1997, “Constitutive-law Under High Strain Rate Loading,” Proc. of KSPE, Fall, pp. 724-727.
8 Nemat-Nasser, S., Isaacs, J. B. and Starrett, J. E., 1991, “Hopkinson Techniques for Dynamic Recovery Experiments,” Proc R Soc Lond A, Vol. 435, pp. 371-391.   DOI   ScienceOn
9 Tamesh, K. T. and Narasimhan, S., 1996, “Finite Deformations and the Dynamic Measurement of Radial Strains in Compression Koldky Bar Experiments,” Int. J Solids Struct. Vol. 33, pp. 3723-3738.   DOI   ScienceOn
10 Gray, G. T., 2000, “Classic Split-Hopkinson Pressure Bar Technique,” ASM Handbook 8, Mechanical Testing and Evaluation ASM International, Materials Park, OH, 44073-0002.
11 Pochhammer, L., 1876, “On the Progagation Velocities of Small Oscillations in an Unlimited Isotropic Circular Cylinder,” J. Reine Angewandte Math, Vol. 81 p. 324.
12 Lee, O. S., Kim, G. H. and Hwang, S. W., 2000, “Determination of Deformation Behavior of the A16061-T6 Under High Strain Rate Tensile Loading Using SHPB Technique,” Trans. of the KSME(A), Vol. 24, No. 12, pp. 3033-3039.   과학기술학회마을
13 Park, K. J., Yang, H. M. and Min, O. K., 2001, “The Effect of Temperature in Hign Temperature SHPB Test,” Proc. of the KSME, Fall, pp. 349-354.
14 Kolsky, H., 1963, Stress Waves in Solids, Dover Publications Inc., New York.
15 Yang, H. M., and Min, O. K., 2006, “Constitutive Equation for SM45C at High Temperature and High Strain Rate,” Proc. of the KSME, Fall, pp. 21-25.
16 Bertholf, L. D. and Karnes, C. H., 1975, “Two-Dimensional Analysis Of The Split Hopkins Pressure Bar System,” J. Mech. Phys. Solids, Vol. 23, pp. 1-19.   DOI   ScienceOn
17 HIll, R., 1950, The Mathematical Theory of Plasticity, Oxford University Press, London, p. 277.
18 Kolsky, H., 1949, “An Investigation of the Mechanical Properties of Materials at very High Rates of Loading,” Proc Phys Soc Lond Sec B Vol. 62, pp. 676-700.   DOI   ScienceOn
19 Kolsky, H., 1949, “An Investigation of the Mechanical Studies in Plastic Wave Propagation,” J Mech Phys Solids, Vol. 10, pp. 195-223.
20 Forrestal, M. J., Wright, T. W. and Chen, W., 2007, “The Effect of Radial Inertia on Brittle Samples During the Split Hopkinson Pressure Bar Test,” International Journal of Impact Engineering, Vol. 34, pp. 405-411.   DOI   ScienceOn
21 Nicholas, T., 1982, “Material Behavior at High Strain Rates,” Impact Dynamics [chapter 8], New York: Wiley.
22 Franz, C. E., Follansbee, P. S. and Wright, W.H., 1984. “New Experimental Techniques with the Split Hopkinson Pressure Bar,” In: Berman, I. and Schroeder, J. W., editors., Eighth International Conference On High Energy Rate Fabrication, Pressure Vessel and Piping Division. ASME.