Volume 42 Issue 9
Sep.  2022
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LIU Feng, LI Qingming. Stain-rate effects on the dynamic compressive strength of concrete-like materials under multiple stress state[J]. Explosion And Shock Waves, 2022, 42(9): 091408. doi: 10.11883/bzycj-2022-0037
Citation: LIU Feng, LI Qingming. Stain-rate effects on the dynamic compressive strength of concrete-like materials under multiple stress state[J]. Explosion And Shock Waves, 2022, 42(9): 091408. doi: 10.11883/bzycj-2022-0037

Stain-rate effects on the dynamic compressive strength of concrete-like materials under multiple stress state

doi: 10.11883/bzycj-2022-0037
  • Received Date: 2022-01-24
  • Rev Recd Date: 2022-03-25
  • Available Online: 2022-03-29
  • Publish Date: 2022-09-29
  • This paper first reviews the development and relevant issues in relation to the strain rate effects on the compressive strength of concrete-like materials. For different characteristics of strain-rate effects on the dynamic compressive strength of concrete-like materials under various stress states, it reveals the significant discrepancies in the measured dynamic increase factors (DIF) under different loading paths. At high strain-rate loading, the test specimen based on the initial 1D-stress state gradually evolves to a multiaxial one due to the increasing lateral confining pressure caused by the lateral inertia effect. The traditional split Hopkinson pressure bar (SHPB) test cannot obtain the genuine DIF data under real 1D-stress state at high strain rates. The strength models based on the direct adaptation of the experimentally measured DIF using SHPB overestimate the dynamic strength of these materials. Considering the loading-path dependence of the strain-rate effect, this study extends the DIF model depending only on strain-rate to a more general DIF model depending on both the strain-rate and the stress state, which is then implemented into the Drucker-Prager strength model. Numerical SHPB tests are conducted on samples with free and constrained boundaries. The comparison between test data and numerical predications shows that the proposed DIF model can describe the stress state dependency of the strain rate effect, and hence can predict the dynamic compressive strength of concrete-lime materials more accurately. The present study is of great significance for correctly applying SHPB technology to determine the dynamic compressive strength of brittle materials.
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  • [1]
    ABRAMS D A. Effect of rate of application of load on the compressive strength of concrete [J]. American Society for Testing and Materials Journal, 1917, 17(2): 364–377.
    [2]
    BISCHOFF P H, PERRY S H. Compressive behaviour of concrete at high strain rates [J]. Materials and Structures, 1991, 24(6): 425–450. DOI: 10.1007/BF02472016.
    [3]
    胡时胜, 王礼立, 宋力, 等. Hopkinson压杆技术在中国的发展回顾 [J]. 爆炸与冲击, 2014, 34(6): 641–657. DOI: 10.11883/1001-1455(2014)06-0641-17.

    HU S S, WANG L L, SONG L, et al. Review of the development of Hopkinson pressure bar technique in China [J]. Explosion and Shock Waves, 2014, 34(6): 641–657. DOI: 10.11883/1001-1455(2014)06-0641-17.
    [4]
    FIELD J E, WALLEY S M, PROUD W G, et al. Review of experimental techniques for high rate deformation and shock studies [J]. International Journal of Impact Engineering, 2004, 30(7): 725–775. DOI: 10.1016/j.ijimpeng.2004.03.005.
    [5]
    LS-DYNA Support. LS-DYNA user manual R10.0-Vol I [EB/OL]. 2021-09-15. https://www.dyansupport.com/manuals/ls-dyna-manuals/ls-dyna-manual-r10.0-vol-i/view.
    [6]
    Century Dynamics. AUTODYN theory manual (revision 4.3) [M]. Concord: Century Dynamics, Inc., 2005.
    [7]
    Comite Euro-International du Beton. CEB-FIP model code 1990 [M]. Trowbridge, Wiltshire, UK: Redwood Books, 1993.
    [8]
    TEDESCO J W, ROSS C A. Strain-rate-dependent constitutive equations for concrete [J]. Journal of Pressure Vessel Technology, 1998, 120(4): 398–405. DOI: 10.1115/1.2842350.
    [9]
    GREEN S J, PERKINS R D. Uniaxial compression test at strain rates from 10−4/s to 104/s on three geologic materials [R]. DASA-2199, Final Rep, 1969: 44.
    [10]
    BRACE W F, JONES A H. Comparison of uniaxial deformation in shock and static loading of three rocks [J]. Journal of Geophysical Research, 1971, 76(20): 4913–4921. DOI: 10.1029/JB076i020p04913.
    [11]
    JANACH W. The role of bulking in brittle failure of rocks under rapid compression [J]. International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, 1976, 13(6): 177–186. DOI: 10.1016/0148-9062(76)91284-5.
    [12]
    BISCHOFF P H, PERRY S H. Impact behavior of plain concrete loaded in uniaxial compression [J]. Journal of Engineering Mechanics, 1995, 121(6): 685–693. DOI: 10.1061/(ASCE)0733-9399(1995)121:6(685.
    [13]
    DONZÉ F V, MAGNIER S A, DAUDEVILLE L, et al. Numerical study of compressive behavior of concrete at high strain rates [J]. Journal of Engineering Mechanics, 1999, 125(10): 1154–1163. DOI: 10.1061/(ASCE)0733-9399(1999)125:10(1154.
    [14]
    GROTE D L, PARK S W, ZHOU M. Dynamic behavior of concrete at high strain rates and pressures: Ⅰ. Experimental characterization [J]. International Journal of Impact Engineering, 2001, 25(9): 869–886. DOI: 10.1016/S0734-743X(01)00020-3.
    [15]
    LI Q M, MENG H. About the dynamic strength enhancement of concrete-like materials in a split Hopkinson pressure bar test [J]. International Journal of Solids and Structures, 2003, 40(2): 343–360. DOI: 10.1016/S0020-7683(02)00526-7.
    [16]
    LI Q M, LU Y B, MENG H. Further investigation on the dynamic compressive strength enhancement of concrete-like materials based on split Hopkinson pressure bar tests. Part Ⅱ: numerical simulations [J]. International Journal of Impact Engineering, 2009, 36(12): 1335–1345. DOI: 10.1016/j.ijimpeng.2009.04.010.
    [17]
    ZHANG M, WU H J, LI Q M, et al. Further investigation on the dynamic compressive strength enhancement of concrete-like materials based on split Hopkinson pressure bar tests. Part Ⅰ: experiments [J]. International Journal of Impact Engineering, 2009, 36(12): 1327–1334. DOI: 10.1016/j.ijimpeng.2009.04.009.
    [18]
    ZHANG M, LI Q M, HUANG F L, et al. Inertia-induced radial confinement in an elastic tubular specimen subjected to axial strain acceleration [J]. International Journal of Impact Engineering, 2010, 37(4): 459–464. DOI: 10.1016/j.ijimpeng.2009.09.009.
    [19]
    LU Y B, LI Q M. Appraisal of pulse-shaping technique in split Hopkinson pressure bar tests for brittle materials [J]. International Journal of Protective Structures, 2010, 1(3): 363–390. DOI: 10.1260/2041-4196.1.3.363.
    [20]
    LU Y B, LI Q M, MA G W. Numerical investigation of the dynamic compressive strength of rocks based on split Hopkinson pressure bar tests [J]. International Journal of Rock Mechanics and Mining Sciences, 2010, 47(5): 829–838. DOI: 10.1016/j.ijrmms.2010.03.013.
    [21]
    LU Y B, LI Q M. A correction methodology to determine the strain-rate effect on the compressive strength of brittle materials based on SHPB testing [J]. International Journal of Protective Structures, 2011, 2(1): 127–138. DOI: 10.1260/2041-4196.2.1.127.
    [22]
    FLORES-JOHNSON E A, LI Q M. Structural effects on compressive strength enhancement of concrete-like materials in a split Hopkinson pressure bar test [J]. International Journal of Impact Engineering, 2017, 109: 408–418. DOI: 10.1016/j.ijimpeng.2017.08.003.
    [23]
    LIU F, LI Q M. Strain-rate effect on the compressive strength of brittle materials and its implementation into material strength model [J]. International Journal of Impact Engineering, 2019, 130: 113–123. DOI: 10.1016/j.ijimpeng.2019.04.006.
    [24]
    ZHOU X Q, HAO H. Modelling of compressive behaviour of concrete-like materials at high strain rate [J]. International Journal of Solids and Structures, 2008, 45(17): 4648–4661. DOI: 10.1016/j.ijsolstr.2008.04.002.
    [25]
    COTSOVOS D M, PAVLOVIĆ M N. Numerical investigation of concrete subjected to compressive impact loading. Part 1: a fundamental explanation for the apparent strength gain at high loading rates [J]. Computers & Structures, 2008, 86(1/2): 145–163. DOI: 10.1016/j.compstruc.2007.05.014.
    [26]
    KIM D J, SIRIJAROONCHAI K, EL-TAWIL S, et al. Numerical simulation of the Split Hopkinson Pressure Bar test technique for concrete under compression [J]. International Journal of Impact Engineering, 2010, 37(2): 141–149. DOI: 10.1016/j.ijimpeng.2009.06.012.
    [27]
    CUSATIS G. Strain-rate effects on concrete behavior [J]. International Journal of Impact Engineering, 2011, 38(4): 162–170. DOI: 10.1016/j.ijimpeng.2010.10.030.
    [28]
    SONG Z H, LU Y. Mesoscopic analysis of concrete under excessively high strain rate compression and implications on interpretation of test data [J]. International Journal of Impact Engineering, 2012, 46: 41–55. DOI: 10.1016/j.ijimpeng.2012.01.010.
    [29]
    MU Z C, DANCYGIER A N, ZHANG W, et al. Revisiting the dynamic compressive behavior of concrete-like materials [J]. International Journal of Impact Engineering, 2012, 49: 91–102. DOI: 10.1016/j.ijimpeng.2012.05.002.
    [30]
    ZHANG Q B, ZHAO J. A review of dynamic experimental techniques and mechanical behaviour of rock materials [J]. Rock Mechanics and Rock Engineering, 2014, 47(4): 1411–1478. DOI: 10.1007/s00603-013-0463-y.
    [31]
    方秦, 洪建, 张锦华, 等. 混凝土类材料SHPB实验若干问题探讨 [J]. 工程力学, 2014, 31(5): 1–14,26. DOI: 10.6052/j.issn.1000-4750.2013.05.ST07.

    FANG Q, HONG J, ZHANG J H, et al. Issues of SHPB test on concrete-like material [J]. Engineering Mechanics, 2014, 31(5): 1–14,26. DOI: 10.6052/j.issn.1000-4750.2013.05.ST07.
    [32]
    XU H, WEN H M. A computational constitutive model for concrete subjected to dynamic loadings [J]. International Journal of Impact Engineering, 2016, 91: 116–125. DOI: 10.1016/j.ijimpeng.2016.01.003.
    [33]
    LEE S, KIM K M, PARK J, et al. Pure rate effect on the concrete compressive strength in the split Hopkinson pressure bar test [J]. International Journal of Impact Engineering, 2018, 113: 191–202. DOI: 10.1016/j.ijimpeng.2017.11.015.
    [34]
    袁良柱, 苗春贺, 单俊芳, 等. 冲击下混凝土试样应变率效应和惯性效应探讨 [J]. 爆炸与冲击, 2022, 42(1): 013101. DOI: 10.11883/bzycj-2021-0114.

    YUAN L Z, MIAO C H, SHAN J F, et al. On strain-rate and inertia effects of concrete samples under impact [J]. Explosion and Shock Waves, 2022, 42(1): 013101. DOI: 10.11883/bzycj-2021-0114.
    [35]
    HAO Y, HAO H. Numerical investigation of the dynamic compressive behaviour of rock materials at high strain rate [J]. Rock Mechanics and Rock Engineering, 2013, 46(2): 373–388. DOI: 10.1007/s00603-012-0268-4.
    [36]
    LU D C, WANG G S, DU X L, et al. A nonlinear dynamic uniaxial strength criterion that considers the ultimate dynamic strength of concrete [J]. International Journal of Impact Engineering, 2017, 103: 124–137. DOI: 10.1016/j.ijimpeng.2017.01.011.
    [37]
    SAUER C, HEINE A, RIEDEL W. Developing a validated hydrocode model for adobe under impact loading [J]. International Journal of Impact Engineering, 2017, 104: 164–176. DOI: 10.1016/j.ijimpeng.2017.01.019.
    [38]
    YU X, CHEN L, FANG Q, et al. A concrete constitutive model considering coupled effects of high temperature and high strain rate [J]. International Journal of Impact Engineering, 2017, 101: 66–77. DOI: 10.1016/j.ijimpeng.2016.11.009.
    [39]
    LUCCIONI B, ISLA F, CODINA R, et al. Experimental and numerical analysis of blast response of high strength fiber reinforced concrete slabs [J]. Engineering Structures, 2018, 175: 113–122. DOI: 10.1016/j.engstruct.2018.08.016.
    [40]
    MALVERN L E, ROSS C A. Dynamic response of concrete and concrete structures [R]. Gainesville: University of Florida, 1984.
    [41]
    LIU F, LI Q M. Strain-rate effect of polymers and correction methodology in a SHPB test [J]. International Journal of Impact Engineering, 2022, 161: 104109. DOI: 10.1016/j.ijimpeng.2021.104109.
    [42]
    BRACE W F, RILEY D K. Static uniaxial deformation of 15 rocks to 30 kb [J]. International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, 1972, 9(2): 271−288. DOI: 10.1016/0148-9062(72)90028-9.
    [43]
    FORQUIN P, ARIAS A, ZAERA R. An experimental method of measuring the confined compression strength of geomaterials [J]. International Journal of Solids and Structures, 2007, 44(13): 4291–4317. DOI: 10.1016/j.ijsolstr.2006.11.022.
    [44]
    PIOTROWSKA E, FORQUIN P, MALECOT Y. Experimental study of static and dynamic behavior of concrete under high confinement: effect of coarse aggregate strength [J]. Mechanics of Materials, 2016, 92: 164–174. DOI: 10.1016/j.mechmat.2015.09.005.
    [45]
    XU S L, SHAN J F, ZHANG L, et al. Dynamic compression behaviors of concrete under true triaxial confinement: an experimental technique [J]. Mechanics of Materials, 2020, 140: 103220. DOI: 10.1016/j.mechmat.2019.103220.
    [46]
    徐松林, 王鹏飞, 赵坚, 等. 基于三维Hopkinson杆的混凝土动态力学性能研究 [J]. 爆炸与冲击, 2017, 37(2): 180–185. DOI: 10.11883/1001-1455(2017)02-0180-06.

    XU S L, WANG P F, ZHAO J, et al. Dynamic behavior of concrete under static triaxial loading using 3D-Hopkinson bar [J]. Explosion and Shock Waves, 2017, 37(2): 180–185. DOI: 10.11883/1001-1455(2017)02-0180-06.
    [47]
    JOHNSON G, HOLMQUIST T, GERLACH C. Strain-rate effects associated with the HJC concrete model [C] // 12th International Conference on the Mechanical and Physical Behaviour of Materials under Dynamic Loading. Arcachon, France, 2018: 01008. DOI: 10.1051/epjconf/201818301008.
    [48]
    HOLMQUIST T J, JOHNSON G R, COOK W H. A computational constitutive model for concrete subjected to large strains, high strain rates, and high pressures [C] // Proceedings of the 14th International Symposium on Ballistics. Quebec, Canada, 1993: 591-600.
    [49]
    DRUCKER D C, PRAGER W. Soil mechanics and plastic analysis or limit design [J]. Quarterly of Applied Mathematics, 1952, 10(2): 157–165. DOI: 10.1090/qam/48291.
    [50]
    TU Z G, LU Y. Evaluation of typical concrete material models used in hydrocodes for high dynamic response simulations [J]. International Journal of Impact Engineering, 2009, 36(1): 132–146. DOI: 10.1016/j.ijimpeng.2007.12.010.
    [51]
    SIMULIA. Abaqus analysis user’s guide (Version 6. 13) [Z]. SIMULIA, 2013.
    [52]
    HAO Y, HAO H, LI Z X. Influence of end friction confinement on impact tests of concrete material at high strain rate [J]. International Journal of Impact Engineering, 2013, 60: 82–106. DOI: 10.1016/j.ijimpeng.2013.04.008.
    [53]
    AL-SALLOUM Y, ALMUSALLAM T, IBRAHIM S M, et al. Rate dependent behavior and modeling of concrete based on SHPB experiments [J]. Cement and Concrete Composites, 2015, 55: 34–44. DOI: 10.1016/j.cemconcomp.2014.07.011.
    [54]
    CUI J, HAO H, SHI Y C, et al. Volumetric properties of concrete under true triaxial dynamic compressive loadings [J]. Journal of Materials in Civil Engineering, 2019, 31(7): 04019126. DOI: 10.1061/(ASCE)MT.1943-5533.0002776.
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