Static–Dynamic Combined Multiaxial Strength Criterion for Concrete
Publication: Journal of Engineering Mechanics
Volume 147, Issue 5
Abstract
The physical mechanism of the static–dynamic combined (S–DC) multiaxial strength of concrete is investigated considering cohesive and frictional strength. It is determined that the strain rate effects and stress state effects on the shear strength of concrete can be decoupled. An effective initial static stress is defined to distinguish the part of the cohesive strength that is dependent on the strain rate; the other part is consumed by the initial static stress. Furthermore, the strength parameter, which reflects the coupled effects of the initial static stress and the strain rate on the strength, is obtained based on the effective initial static stress and dynamic increase factor (). Combining the proposed strength parameter and nonlinear dynamic multiaxial strength criterion, a new S–DC multiaxial strength criterion for concrete is presented. The proposed strength criterion is applied to analyze the S–DC strength rules of concrete under multiaxial stress conditions and is further verified using five groups of test results.
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Data Availability Statement
All data, models, or code that are generated or utilized during the study are available from the corresponding author by request.
Acknowledgments
This study was supported by the National Natural Science Foundation of China (Grant Nos. 52008231, 52025084, 51778026, and 51725901).
References
Al-Salloum, Y., T. Almusallam, S. M. Ibrahim, H. Abbas, and S. Alsayed. 2015. “Rate dependent behavior and modeling of concrete based on SHPB experiments.” Cem. Concr. Comp. 55 (Jan): 34–44. https://doi.org/10.1016/j.cemconcomp.2014.07.011.
Bailly, P., F. Delvare, J. Vial, J. L. Hanus, M. Biessy, and D. Picart. 2011. “Dynamic behavior of an aggregate material at simultaneous high pressure and strain rate: SHPB triaxial tests.” Int. J. Impact Eng. 38 (2–3): 73–84. https://doi.org/10.1016/j.ijimpeng.2010.10.005.
CEB (Comite Euro-International Du Beton). 1990. CEB FIP model code. London: Comite Euro-International Du Beton.
Chen, F., C. D. Ma, and J. C. Xu. 2005. “Dynamic response and failure behavior of rock under static-dynamic loading.” J. Cent. South Univ. Technol. 12 (3): 354–358. https://doi.org/10.1007/s11771-005-0160-4.
Du, X. L., D. C. Lu, Q. M. Gong, and M. Zhao. 2010. “Nonlinear unified strength criterion for concrete under three-dimensional stress states.” J. Eng. Mech. 136 (1): 51–59. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000055.
Eibl, J., and B. Schmidt-Hurtienne. 1999. “Strain-rate-sensitive constitutive law for concrete.” J. Eng. Mech. 125 (12): 1411–1420. https://doi.org/10.1061/(ASCE)0733-9399(1999)125:12(1411).
Flores-Johnsona, E. A., and Q. M. Li. 2017. “Structural effects on compressive strength enhancement of concrete-like materials in a split Hopkinson pressure bar test.” Int. J. Impact Eng. 109 (Nov): 408–418. https://doi.org/10.1016/j.ijimpeng.2017.08.003.
Fujikake, K., K. Mori, K. Uebayashi, T. Ohno, and J. Mizuno. 2000. “Dynamic properties of concrete materials with high rates of tri-axial compressive loads.” Struct. Shock Impact 48: 511–522. https://doi.org/10.2495/SU000471.
Gong, F. Q., X. F. Si, X. B. Li, and S. Y. Wang. 2019. “Dynamic triaxial compression tests on sandstone at high strain rates and low confining pressures with split Hopkinson pressure bar.” Int. J. Rock Mech. Min. 113 (Jan): 211–219. https://doi.org/10.1016/j.ijrmms.2018.12.005.
Grassl, P., and M. Jirásek. 2006. “Plastic model with non-local damage applied to concrete.” Int. J. Numer. Anal. Met. 30 (1): 71–90. https://doi.org/10.1002/nag.479.
Grote, D. L., S. W. Park, and M. Zhou. 2001. “Dynamic behavior of concrete at high strain rates and pressures: I. Experimental characterization.” Int. J. Impact Eng. 25 (9): 869–886. https://doi.org/10.1016/S0734-743X(01)00020-3.
Guan, P., and P. Liu. 2011. “Study of strength criterion for dynamic biaxial compressive properties of concrete under constant confining pressure.” In Proc., Int. Conf. on Electric Technology and Civil Engineering (ICETCE), 753–755. New York: IEEE. https://doi.org/10.1109/ICETCE.2011.5775828.
Hao, Y. F., and H. Hao. 2011. “Numerical evaluation of the influence of aggregates on concrete compressive strength at high strain rate.” Int. J. Prot. Struct. 2 (2): 177–206. https://doi.org/10.1260/2041-4196.2.2.177.
Hao, Y. F., H. Hao, G. P. Jiang, and Y. Zhou. 2013. “Experimental confirmation of some factors influencing dynamic concrete compressive strengths in high-speed impact tests.” Cem. Concr. Res. 52 (Oct): 63–70. https://doi.org/10.1016/j.cemconres.2013.05.008.
Kaplan, S. A. 1980. “Factors affecting the relationship between rate of loading and measured compressive strength of concrete.” Mag. Concr. Res. 32 (111): 79–88. https://doi.org/10.1680/macr.1980.32.111.79.
Katayama, M., M. Itoh, S. Tamura, M. Beppu, and T. Ohno. 2007. “Numerical analysis method for the RC and geological structures subjected to extreme loading by energetic materials.” Int. J. Impact Eng. 34 (9): 1546–1561. https://doi.org/10.1016/j.ijimpeng.2006.10.013.
Klepaczko, J. R., and A. Brara. 2001. “An experimental method for dynamic tensile testing of concrete by spalling.” Int. J. Impact Eng. 25 (4): 387–409. https://doi.org/10.1016/S0734-743X(00)00050-6.
Kong, X. Z., Q. Fang, H. Wu, and Y. Peng. 2016. “Numerical predictions of cratering and scabbing in concrete slabs subjected to projectile impact using a modified version of HJC material model.” Int. J. Impact Eng. 95 (Sep): 61–71. https://doi.org/10.1016/j.ijimpeng.2016.04.014.
Li, D. Y., P. Xiao, Z. Y. Han, and Q. Q. Zhu. 2020. “Mechanical and failure properties of rocks with a cavity under coupled static and dynamic loads.” Eng. Fract. Mech. 225 (Feb): 106195. https://doi.org/10.1016/j.engfracmech.2018.10.021.
Li, Q. M., and H. Meng. 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. https://doi.org/10.1016/S0020-7683(02)00526-7.
Li, X. B., F. Q. Gong, M. Tao, L. J. Dong, K. Du, C. D. Ma, Z. L. Zhou, and T. B. Yin. 2017. “Failure mechanism and coupled static-dynamic loading theory in deep hard rock mining: A review.” J. Rock Mech. Geotech. Eng. 9 (4): 767–782. https://doi.org/10.1016/j.jrmge.2017.04.004.
Liu, P. F., K. Liu, and Q. B. Zhang. 2020. “Experimental characterisation of mechanical behaviour of concrete-like materials under multiaxial confinement and high strain rate.” Constr. Build. Mater. 258 (Oct): 119638. https://doi.org/10.1016/j.conbuildmat.2020.119638.
Lu, D. C., G. S. Wang, X. L. Du, and Y. Wang. 2017. “A nonlinear dynamic uniaxial strength criterion that considers the ultimate dynamic strength of concrete.” Int. J. Impact Eng. 103 (May): 124–137. https://doi.org/10.1016/j.ijimpeng.2017.01.011.
Lu, D. C., X. Zhou, X. L. Du, and G. S. Wang. 2020. “3D dynamic elastoplastic constitutive model of concrete within the framework of rate-dependent consistency condition.” J. Eng. Mech. 146 (11): 04020124. https://doi.org/10.1061/(ASCE)EM.1943-7889.0001854.
Lu, Y. B., and Q. M. Li. 2011. “About the dynamic uniaxial tensile strength of concrete-like materials.” Int. J. Impact Eng. 38 (4): 171–180. https://doi.org/10.1016/j.ijimpeng.2010.10.028.
Shang, S. M., and Y. P. Song. 2013. “Dynamic biaxial tensile-compressive strength and failure criterion of plain concrete.” Constr. Build. Mater. 40 (Mar): 322–329. https://doi.org/10.1016/j.conbuildmat.2012.11.012.
Shi, L. L., L. C. Wang, Y. P. Song, and L. Shen. 2014. “Dynamic multiaxial strength and failure criterion of dam concrete.” Constr. Build. Mater. 66 (Sep): 181–191. https://doi.org/10.1016/j.conbuildmat.2014.05.076.
Si, X. F., F. Q. Gong, X. B. Li, S. Y. Wang, and S. Luo. 2019. “Dynamic Mohr–Coulomb and Hoek–Brown strength criteria of sandstone at high strain rates.” Int. J. Rock Mech. Min. 115 (Mar): 48–59. https://doi.org/10.1016/j.ijrmms.2018.12.013.
Wang, G. S., D. C. Lu, X. L. Du, and X. Zhou. 2018. “Dynamic multiaxial strength criterion for concrete based on strain rate-dependent strength parameter.” J. Eng. Mech. 144 (5): 04018018. https://doi.org/10.1061/(ASCE)EM.1943-7889.0001428.
Wu, H. J., Q. M. Zhang, F. L. Huang, and Q. K. Jin. 2005. “Experimental and numerical investigation on the dynamic tensile strength of concrete.” Int. J. Impact Eng. 32 (1–4): 605–617. https://doi.org/10.1016/j.ijimpeng.2005.05.008.
Xiao, S. Y., H. N. Li, and P. J. M. Monteiro. 2010. “Influence of strain rate and loading histories on the tensile damage behaviour of concrete.” Mag. Concr. Res. 62 (12): 887–894. https://doi.org/10.1680/macr.2010.62.12.887.
Yan, D. M., and G. Lin. 2007. “Dynamic behaviour of concrete in biaxial compression.” Mag. Concr. Res. 59 (1): 45–52. https://doi.org/10.1680/macr.2007.59.1.45.
Yan, D. M., and G. Lin. 2008. “Influence of initial static stress on the dynamic properties of concrete.” Cem. Concr. Comp. 30 (4): 327–333. https://doi.org/10.1016/j.cemconcomp.2007.11.004.
Yin, T. B., L. Bai, X. Li, X. B. Li, and S. S. Zhang. 2018. “Effect of thermal treatment on the mode I fracture toughness of granite under dynamic and static coupling load.” Eng. Fract. Mech. 199 (Aug): 143–158. https://doi.org/10.1016/j.engfracmech.2018.05.035.
Zhang, Q. B., and J. Zhao. 2014. “A review of dynamic experimental techniques and mechanical behaviour of rock materials.” Rock Mech. Rock Eng. 47 (4): 1411–1478. https://doi.org/10.1007/s00603-013-0463-y.
Zhao, J. 2000. “Applicability of Mohr-Coulomb and Hoek-Brown strength criteria to the dynamic strength of brittle rock.” Int. J. Rock Mech. Min. 37 (7): 1115–1121. https://doi.org/10.1016/S1365-1609(00)00049-6.
Zheng, D., Q. B. Li, and L. B. Wang. 2005. “A microscopic approach to rate effect on compressive strength of concrete.” Eng. Fract. Mech. 72 (15): 2316–2327. https://doi.org/10.1016/j.engfracmech.2005.01.012.
Zheng, D., Q. B. Li, and L. B. Wang. 2007. “Rate effect of concrete strength under initial static loading.” Eng. Fract. Mech. 74 (15): 2311–2319. https://doi.org/10.1016/j.engfracmech.2006.11.012.
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Received: Oct 11, 2020
Accepted: Dec 14, 2020
Published online: Feb 22, 2021
Published in print: May 1, 2021
Discussion open until: Jul 22, 2021
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