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Abbreviations
- SHPB:
-
Split Hopkinson pressure bar
- \(C_{1}\) :
-
1D wave propagation velocity of lead bar
- \(C_{2}\) :
-
1D wave propagation velocity of trailing bar
- \(\varepsilon_{{\text{I}}}\) :
-
Strain of incident pulse
- \(\varepsilon_{{\text{R}}}\) :
-
Strain of reflected pulse
- \(\varepsilon_{{\text{T}}}\) :
-
Strain of transmitted pulse
- \(F_{{\text{g}}}\) :
-
Force exerted by expansion of compressed gas
- \(F_{{\text{f}}}\) :
-
Frictional force
- \(\gamma\) :
-
Adiabatic index of compressed gas
- \(k\) :
-
Spring constant
- \(L_{1}\) :
-
Length of lead bar
- \(L_{2}\) :
-
Length of trailing bar
- \(L_{{\text{s}}}\) :
-
Length of spring
- \(m_{1}\) :
-
Mass of lead bar
- \(m_{2}\) :
-
Mass of trailing bar
- \(\omega\) :
-
Angular frequency
- \(P\) :
-
Pressure
- \(P_{0}\) :
-
Initial pressure
- \(r\) :
-
Radius of gas gun muzzle
- s :
-
Spacing between striker bars
- \(T\) :
-
Tension
- \(t_{1}\) :
-
Duration of first compressive wave
- \(t_{2}\) :
-
Duration of second compressive wave
- \(t_{{\text{c}}}\) :
-
Spring compression time
- \(t_{{\text{d}}}\) :
-
Dwell time between waves
- \(V_{0}\) :
-
Gas gun reservoir volume
- \(v_{1}\) :
-
Lead striker bar velocity
- \(v_{2}\) :
-
Trailing striker bar velocity
- \(x_{1}\) :
-
Lead striker bar position
- \(x_{2}\) :
-
Trailing bar position
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Acknowledgements
This research was sponsored by the National Science Foundation under EAR 1351931 to Griffith, and the Army Research Office under grant W911NF-14-1-0876 to Griffith. The views and conclusions contained in this document are those of the authors and should not be interpreted as representing the official policies, either expressed or implied, of the Army Research Laboratory or the U.S. Government. The U.S. Government is authorized to reproduce and distribute reprints for Government purposes notwithstanding any copyright notation herein. The authors thank Chris Borjas, Troy Barber, Hamed Ghaffari, Brooke Parsons, and Tootie Kassimu for their valuable insights, discussions, and work at the start of this project. The MATLAB model used in this work is provided in the supplementary material.
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Braunagel, M.J., Griffith, W.A. A Split Hopkinson Pressure Bar Method for Controlled Rapid Stress Cycling Using an Oscillating Double Striker Bar. Rock Mech Rock Eng 53, 3845–3851 (2020). https://doi.org/10.1007/s00603-020-02124-0
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DOI: https://doi.org/10.1007/s00603-020-02124-0