Numerical Investigation of the Effects of Pulse Shaper, Lateral Inertia, and Friction on the Calculated Strain-Rate Sensitivity of UHP-FRC Using a Split Hopkinson Pressure Bar
Publication: Journal of Materials in Civil Engineering
Volume 28, Issue 11
Abstract
This research investigates the effect of pulse shaper, lateral inertia and friction on the strain-rate sensitivity of ultra-high-performance fiber-reinforced concrete (UHP-FRC) using a split Hopkinson pressure bar (SHPB) by finite-element analysis. Assigned material parameters of UHP-FRC are provided by calibrating concrete material characteristics given in commercially available software. Following the material model calibration, a parametric study on the design of pulse shaper is carried out to satisfy the requirements of SHPB testing. Material confinement effects, including inertia effect and friction effect, are isolated from the strain-rate sensitivity of UHP-FRC under compressive impact loading. Numerical simulation results show that (1) the calibrated KCC model can well-predict the experimentally behavior of UHP-FRC; (2) an aluminum 6061-T6 disc with 1.8-mm thickness and 8-mm diameter is an ideal pulse shaper for SHPB testing of UHP-FRC at impact velocity; (3) at an impact velocity of , the dynamic impact factor (DIF) due to lateral inertia confinement reaches 1.06, and the DIF due to combined lateral inertia and friction increases from 1.06 to 1.18 with the friction coefficient increasing from 0 to 0.2.
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Acknowledgments
This research has been supported by the University of Connecticut, partly by the Department of Homeland Security and by the Schlumberger Foundation under the award #AG141334. The authors express their great gratitude for this support. The opinions expressed in this paper are those of the authors and do not necessarily reflect the views of the sponsors.
References
Attard, M. M., and Setunge, S. (1996). “Stress-strain relationship of confined and unconfined concrete.” ACI Mater. J., 93(5). 432–442.
Bertholf, L. D., and Karnes, C. H. (1975). “Two dimensional analysis of the split Hopkinson pressure bar system.” J. Mech. Phys. Solids, 23(1), 1–19.
Bischoff, P. H., and Perry, S. H. (1991). “Compression behavior of concrete at high strain-rates.” Mater. Struct., 24(6), 425–450.
Brace, W. F., and Jones, A. H. (1971). “Comparison of uniaxial deformation in shock and static loading of three rocks.” J. Geophys. Res., 76(20), 4913–4921.
Chen, W., Song, B., Frew, D. J., and Forrestal, M. J. (2003). “Dynamic small strain measurements of a metal specimen with a split Hopkinson pressure bar.” Exp. Mech., 43(1), 20–23.
Chen, W., Wu, Q., Kang, J., and Winfree, N. (2001). “Compressive superelastic behavior of a NiTi shape memory alloy at strain rates of 0.001-750 s-1.” Int. J. Solids Struct., 38(50–51), 8989–8998.
Chen, W., Zhang, B., and Forrestal, M. J. (1999). “A split Hopkinson bar technique for low-impedance materials.” Exp. Mech., 39(2), 81–85.
Chen, X., Wu, S., and Zhou, J. (2013). “Experimental and modeling study of dynamic mechanical properties of cement paste, mortar and concrete.” Constr. Build. Mater., 47, 419–430.
Comite Euro-International du Beton. (1993). CEB-FIP model code, Redwood Books, Trowbridge, Wiltshire, U.K.
Ellwood, S., Griffiths, L. J., and Perry, D. J. (1982). “Materials testing at high constant strain rates.” J. Phys. E: Sci. Instrum., 15(3), 280–282.
Frantz, C. E., Follanbee, P. S., and Wright, W. J. (1984). “New experimental techniques with the split Hopkinson pressure bar.” 8th Int. Conf., Los Alamos National Lab, Los Alamos, NM.
Frew, D. J., Forrestal, M. J., and Chen, W. (2002). “Pulse shaping techniques for testing brittle materials with a split Hopkinson pressure bar.” Exp. Mech., 42(1), 93–106.
Gary, G. T. (2000). “Classic split-Hopkinson pressure bar testing.” Mechanical testing and evaluation, metals handbook, Vol. 8, American Society for Metals, Materials Park, OH, 462–476.
Grote, D. L., Park, S. W., and Zhou, M. (2001). “Dynamic behavior of concrete at high strain-rates and pressure: I. Experimental characterization.” Int. J. Impact Eng., 25(9), 869–886.
Habel, K., and Gauvreau, P. (2008). “Response of ultra-high performance fiber reinforced concrete (UHPFRC) to impact and static loading.” Cem. Concr. Compos., 30(10), 938–946.
Hao, Y., and Hao, H. (2013). “Dynamic compressive behavior of spiral steel fibre reinforced concrete in split Hopkinson pressure bar tests.” Constr. Build. Mater., 48. 521–532.
Hypermesh version 11.0 [Computer software]. Altair. Troy, MI.
Kim, D., El-Tawil, S., Sirijaroonchai, K., and Naaman, A. E. (2010). “Numerical simulation of the split Hopkinson pressure bar test technique for concrete under compression.” Int. J. Impact Eng., 37(2), 141–149.
Li, Q. M., and Meng, H. (2003). “About the dynamic strength enhancement of concrete-like materials in a split Hopkinson pressure bar test.” Int. J. Solids Struct., 40(2), 343–360.
LS-DYNA: R7.1.1 [Computer software]. Livermore Software Technology Corporation. Livermore, CA.
Malvern, L. E., and Ross, C. A. (1985). “Dynamic response of concrete and concrete structures.”, Univ. of Florida, Gainesville, FL.
Markovich, N., Kochavi, E., and Ben-Dor, G. (2011). “An improved calibrated of the concrete damage model.” Finite Elem. Anal. Des., 47(11), 1280–1290.
Naaman, A. E. (1987). “High performance fiber reinforced cement composites.” Concrete structures for the future, IABSE Symp., Paris, 371–376.
Naghdabadi, R., Ashrafi, M. J., and Arghaveni, J. (2012). “Experimental and numerical investigation of pulse-shaped split Hopkinson pressure bar test.” Mater. Sci. Eng. A, 539, 285–293.
Nemat-Nasser, S. (2000). “Introduction to high strain rate testing.” Mechanical testing and evaluation, metals handbook, Vol. 8, American Society for Metals, Materials Park, OH, 427–446.
Ninan, L., Tsai, J., and Sun, C. T. (2001). “Use of split Hopkinson pressure bar for testing off-axis composites.” Int. J. Impact Eng., 25(3), 291–313.
Parry, D. J., Walker, A. G., and Dixon, P. R. (1995). “Hopkinson bar pulse smoothing.” Meas. Sci. Technol., 6(5), 443–446.
Pyo, S., Wille, K., El-Tawil, S., and Naaman, A. E. (2015). “Strain rate dependent properties of ultra high performance fiber reinforced concrete (UHP-FRC) under tension.” Cem. Concr. Compos., 56, 15–24.
Ross, C. A., Jerome, D. M., Tedesco, J. W., and Hughes, M. L. (1996). “Moisture and strain rate effects on concrete strength.” ACI Mater. J., 93, 293–300.
Ross, C. A., Thompson, P. Y., and Tedesco, J. W. (1989). “Split-Hopkinson pressure-bar tests on concrete and mortar in tension and compression.” ACI Mater. J., 86, 475–481.
Samani, A. K., and Attard, M. M. (2012). “A stress-strain model for uniaxial and confined concrete under compression.” Eng. Struct., 41, 335–349.
Song, B., and Chen, W. (2005). “Split Hopkinson pressure bar techniques for characterizing soft materials.” Latin Am. J. Solid Struct., 2, 113–152.
Tedesco, J. W., and Ross, C. A. (1998). “Strain-rate-dependent constitutive equations for concrete.” J. Press Vessel Technol., 120(4), 398–405.
Tu, Z., and Lu, Y. (2009). “Evaluation of typical concrete material models used in hydrocodes for high dynamic response simulations.” Int. J. Impact Eng., 36(1), 132–146.
Wang, S., Zhang, M., and Quek, S. (2012). “Mechanical behavior of fiber-reinforced high-strength concrete subjected to high strain-rate compressive loading.” Constr. Build. Mater., 31, 1–11.
Wille, K., and Boisvert-Cotulio, C. (2015). “Material efficiency in the design of ultra-high performance concrete.” Elsevier—Constr. Build. Mater., 86, 33–43.
Wille, K., Kim, D., and Naaman, A. E. (2011a). “Strain-hardening UHP-FRC with low fiber contents.” Mater. Struct., 44(3), 583–598.
Wille, K., Naaman, A. E., and El-Tawil, S. (2011b). “Ultra high performance fiber reinforced concrete (UHP-FRC) record performance under tensile loading.” Concr. Int., 33(9), 35–41.
Wille, K., Naaman, A. E., El-Tawil, S., and Parra-Montesinos, G. J. (2012). “Ultra-high performance concrete and fiber reinforced concrete: Achieving strength and ductility without heat treatment.” Mater. Struct., 45(3), 309–324.
Wille, K., Naaman, A. E., and Parra-Montesinos, G. J. (2011c). “Ultra-high performance concrete with compressive strength exceeding 150 MPa (22kis): A simpler way.” ACI Mater. J., 1, 46–54.
Wille, K., Xu, M., El-Tawil, S., and Naaman, A. E. (2015). “Dynamic impact factors of strain hardening UHP-FRC under direct tensile loading at low strain rates.” Mater. Struct., 1–15.
Wu, W., Zhang, W., and Ma, G. (2010). “Mechanical properties of copper slag reinforced concrete under dynamic compression.” Constr. Build. Mater., 24(6), 910–917.
Xin, L., Xu, J., Bai, E., and Li, W. (2013). “Research on the dynamic compressive test of highly fluidized geopolymer concrete.” Constr. Build. Mater., 48, 166–172.
Xu, M., and Wille, K. (2014). “Calibration of K&C concrete model for UHPC in LS-DYNA.” Advanced Materials Research: Proc., 4th Int. Conf. on Materials Science and Engineering (ICMSE 2014), Vol. 1081, Trans Tech Publication, Pfaffikon, Switzerland, 254–259.
Xu, M., and Wille, K. (2015). “Fracture energy of UHP-FRC under direct tensile loading applied at low strain rates.” Composites Part B, 80, 116–125.
Yi, N., Kim, J., Han, T., Cho, Y., and Lee, J. (2012). “Blast-resistant characteristics of ultra-high strength concrete and reactive powder concrete.” Constr. Build. Mater., 28(1), 694–707.
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Published In
Journal of Materials in Civil Engineering
Volume 28 • Issue 11 • November 2016
Copyright
© 2016 American Society of Civil Engineers.
History
Received: Jun 5, 2015
Accepted: Dec 29, 2015
Published online: May 24, 2016
Discussion open until: Oct 24, 2016
Published in print: Nov 1, 2016
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