Full Text:   <2751>

CLC number: TU501

On-line Access: 2024-08-27

Received: 2023-10-17

Revision Accepted: 2024-05-08

Crosschecked: 2020-11-16

Cited: 0

Clicked: 3533

Citations:  Bibtex RefMan EndNote GB/T7714

 ORCID:

Qing-hua Li

https://orcid.org/0000-0003-2694-1936

-   Go to

Article info.
Open peer comments

Journal of Zhejiang University SCIENCE A 2020 Vol.21 No.12 P.939-960

http://doi.org/10.1631/jzus.A1900599


A dynamic constitutive model of ultra high toughness cementitious composites


Author(s):  Shi-lang Xu, Ping Wu, Fei Zhou, Xiao Jiang, Bo-kun Chen, Qing-hua Li

Affiliation(s):  Institute of Advanced Engineering Structures and Materials, Zhejiang University, Hangzhou 310058, China

Corresponding email(s):   liqinghua@zju.edu.cn

Key Words:  Holmquist–, Johnson–, Cook (HJC) model, Ultra high toughness cementitious composite (UHTCC), Constitutive model, Explosion test, Projectile penetration, Numerical simulation


Share this article to: More |Next Article >>>

Shi-lang Xu, Ping Wu, Fei Zhou, Xiao Jiang, Bo-kun Chen, Qing-hua Li. A dynamic constitutive model of ultra high toughness cementitious composites[J]. Journal of Zhejiang University Science A, 2020, 21(12): 939-960.

@article{title="A dynamic constitutive model of ultra high toughness cementitious composites",
author="Shi-lang Xu, Ping Wu, Fei Zhou, Xiao Jiang, Bo-kun Chen, Qing-hua Li",
journal="Journal of Zhejiang University Science A",
volume="21",
number="12",
pages="939-960",
year="2020",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.A1900599"
}

%0 Journal Article
%T A dynamic constitutive model of ultra high toughness cementitious composites
%A Shi-lang Xu
%A Ping Wu
%A Fei Zhou
%A Xiao Jiang
%A Bo-kun Chen
%A Qing-hua Li
%J Journal of Zhejiang University SCIENCE A
%V 21
%N 12
%P 939-960
%@ 1673-565X
%D 2020
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.A1900599

TY - JOUR
T1 - A dynamic constitutive model of ultra high toughness cementitious composites
A1 - Shi-lang Xu
A1 - Ping Wu
A1 - Fei Zhou
A1 - Xiao Jiang
A1 - Bo-kun Chen
A1 - Qing-hua Li
J0 - Journal of Zhejiang University Science A
VL - 21
IS - 12
SP - 939
EP - 960
%@ 1673-565X
Y1 - 2020
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/jzus.A1900599


Abstract: 
In this study, an explicit dynamic constitutive model was established for ultra high toughness cementitious composites (UHTCCs). The model, based on the holmquist–;johnson–;cook (HJC) model, includes tensile and compressive damage evolution, hydrostatic pressure, strain rate, and the Lode angle effect. The proposed model was embedded in LS-DYNA software and then comprehensive tests were carried on a hexahedral brick element formulation under uniaxial, biaxial, and triaxial stress states to verify its rationality through comparisons with results determined by the HJC and Karagozian & Case (K&C) models. Finally, the proposed model was used to simulate the damage caused to UHTCC targets subjected to blast by embedded explosive and projectile penetration, and predictions were compared with corresponding experimental results. The results of the numerical simulations showed that our proposed model was more accurate than the HJC model in predicting the size of the crater, penetration depth, and the distribution of cracks inside the target following the blast or high-speed impact loading.

超高韧性水泥基复合材料动态本构关系

目的:水泥基材料在动态荷载下会有压力相关性、应变率相关性、加载路径相关性以及应变软化等特性.根据现有水泥基材料的实验数据,本文旨在建立能够较为准确描述超高韧性水泥基复合材料在动态荷载作用下的显式动态本构模型,为超高韧性水泥基复合材料在防护工程中的应用提供科学依据.
创新点:1. 提出了一个连续、光滑和外凸的屈服面,并且该屈服面可以将拉压损伤分开考虑; 2. 建立了可以反映超高韧性水泥基复合材料拉伸延性和多缝开裂现象的损伤方程; 3. 将体积损伤引入到本文所提出的模型当中.
方法:1. 将提出的模型嵌入到LS-DYNSA软件当中,并利用该模型模拟超高韧性水泥基复合材料在单轴拉伸/压缩、双轴压缩、三轴围压下的应力应变曲线,并与实验结果对比,验证模型的准确性; 2. 利用该模型、HJC模型和K&C模型预测不同应变率下超高韧性水泥基复合材料单轴拉伸/压缩下的应力应变曲线以及特定应变率下超高韧性水泥基复合材料的单轴拉伸、双轴拉伸和三轴拉伸应力应变曲线,并通过对比实验,验证超高韧性水泥基复合材料动态本构模型在静态和动态加载条件下的正确性; 3. 模拟在一定炸药埋置深度下超高韧性水泥基复合材料靶体的破坏形态和超高韧性水泥基复合材料靶体在弹速冲击下的破坏数据,并与实测结果进行对比,验证本文模型的准确性.
结论:1. 建立的超高韧性水泥基复合材料动态力学本构模型不仅考虑了压力相关性、应变软化、应变率效应和应力路径相关性,而且可以反映超高韧性水泥基复合材料的延性拉伸特性; 2. 将所提模型嵌入LS-DYNA软件,可以模拟超高韧性水泥基复合材料在静态加载速率下的单轴拉伸/压缩、双轴压缩和三轴围压应力应变曲线,并且与实验结果接近且能更好地反映超高韧性水泥基复合材料的基本力学性能; 3. 与HJC模型和K&C模型对比发现,只有所提模型可以全面而准确地描述不同应变率下超高韧性水泥基复合材料的应变率特性; 4. 与实验结果对比显示,本文提出的本构模型相较于HJC模型可以更为准确地预测超高韧性水泥基复合材料靶体抗爆漏斗坑的大小、侵彻深度和裂纹扩展情况.

关键词:HJC模型;超高韧性水泥基复合材料;动态本构关系;爆炸;侵彻;数值模拟

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article

Reference

[1]Béton CEID, 1993. CEB-FIP Model Code 1990: Design Code. Thomas Telford, London, UK.

[2]Cheng YF, 2014. Detonation Mechanism and Explosion Property of High-energy Emulsion Explosives Based on Hydrogen Storage Material. PhD Thesis, University of Science and Technology of China, Hefei, China (in Chinese).

[3]Gebbeken N, Ruppert M, 2000. A new material model for concrete in high-dynamic hydrocode simulations. Archive of Applied Mechanics, 70(7):463-478.

[4]Hartmann T, Pietzsch A, Gebbeken N, 2010. A hydrocode material model for concrete. International Journal of Protective Structures, 1(4):443-468.

[5]Holmquist TJ, Johnson GR, Cook WH, 1993. A computational constitutive model for concrete subjected to large strains, high strain rates, and high pressures. Proceedings of the 14th International Symposium on Ballistics, p.591-600.

[6]Johnson GR, Cook WH, 1983. A constitutive model and data for metals subjected to large strains, high strain rates and high temperature. Proceedings of the 7th International Symposium on Ballistics, p.541-547.

[7]Khan MZN, Hao YF, Hao H, et al., 2018. Mechanical properties of ambient cured high-strength plain and hybrid fiber reinforced geopolymer composites from triaxial compressive tests. Construction and Building Materials, 185: 338-353.

[8]Kong XZ, Fang Q, Wu H, et al., 2016. Numerical predictions of cratering and scabbing in concrete slabs subjected to projectile impact using a modified version of HJC material model. International Journal of Impact Engineering, 95:61-71.

[9]Lai JZ, Zhu YY, Tan JM, 2016. Experiment and simulation of ultra-high performance concrete subjected to blast by embedded explosive. Engineering Mechanics, 33(5):193-199 (in Chinese).

[10]Li HD, Xu S, 2011. Determination of energy consumption in the fracture plane of ultra high toughness cementitious composite with direct tension test. Engineering Fracture Mechanics, 78(9):1895-1905.

[11]Li HD, Xu SL, 2016. Rate dependence of ultra high toughness cementitious composite under direct tension. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 17(6):417-426.

[12]Li HY, Shi GY, 2016. A dynamic material model for rock materials under conditions of high confining pressures and high strain rates. International Journal of Impact Engineering, 89:38-48.

[13]Li QH, Zhao X, Xu SL, et al., 2016a. Influence of steel fiber on dynamic compressive behavior of hybrid fiber ultra high toughness cementitious composites at different strain rates. Construction and Building Materials, 125:490-500.

[14]Li QH, Huang BT, Zhou BM, et al., 2016b. Study on compression fatigue properties of ultra high toughness cementitious composites. Journal of Building Structures, 37(1):135-142 (in Chinese).

[15]Li Y, Liang XW, Liu ZJ, 2010. Behavior of high performance PVA fiber reinforced cement composites in triaxial compression. Journal of Wuhan University of Technology, 32(17):179-185.

[16]Lin XS, 2018. Numerical simulation of blast responses of ultra-high performance fiber reinforced concrete panels with strain-rate effect. Construction and Building Materials, 176:371-382.

[17]Liu W, 2012. Experimental study on dynamic mechanical properties of ultra-high toughness cementitious composites. PhD Thesis, Dalian University of Technology, Dalian, China (in Chinese).

[18]Liu Y, Ma AE, Huang FL, 2009. Numerical simulations of oblique-angle penetration by deformable projectiles into concrete targets. International Journal of Impact Engineering, 36(3):438-446.

[19]LSTC (Livermore Software Technology Corporation), 2012. LS-DYNA Keyword User’s Manual, Volume I, Version 971. LSTC, Livermore, USA.

[20]Malvar LJ, Crawford JE, Wesevich JW, et al., 1997. A plasticity concrete material model for DYNA3D. International Journal of Impact Engineering, 19(9-10):847-873.

[21]Mechtcherine V, Silva FDA, Butler M, et al., 2011. Behaviour of strain-hardening cement-based composites under high strain rates. Journal of Advanced Concrete Technology, 9(1):51-62.

[22]Murray YD, 2007. User’s Manual for LS-DYNA Concrete Material Model 159. Report No. FHWA-HRT-05-062, U.S. Department of Transportation, Federal Highway Administration, McLean, USA.

[23]Pan JL, He JX, Wang LP, 2016. Experimental study on mechanical behaviors and failure criterion of engineered cementitious composites under biaxial compression. Engineering Mechanics, 33(6):186-193 (in Chinese).

[24]Polanco-Loria M, Hopperstad OS, Børvik T, et al., 2008. Numerical predictions of ballistic limits for concrete slabs using a modified version of the HJC concrete model. International Journal of Impact Engineering, 35(5):290-303.

[25]Ranade R, Li VC, Heard WF, 2015. Tensile rate effects in high strength-high ductility concrete. Cement and Concrete Research, 68:94-104.

[26]Reinhardt HW, Cornelissen HAW, Hordijk DA, 1986. Tensile tests and failure analysis of concrete. Journal of Structural Engineering, 112(11):2462-2477.

[27]Ren GM, Wu H, Fang Q, et al., 2016. Triaxial compressive behavior of UHPCC and applications in the projectile impact analyses. Construction and Building Materials, 113:1-14.

[28]Riedel W, Thoma K, Hiermaier S, et al., 1999. Penetration of reinforced concrete by BETA-B-500 numerical analysis using a new macroscopic concrete model for hydrocodes. Proceedings of the 9th International Symposium on the Interaction of the Effects of Munitions with Structures, p.315.

[29]Schuler H, Mayrhofer C, Thoma K, 2006. Spall experiments for the measurement of the tensile strength and fracture energy of concrete at high strain rates. International Journal of Impact Engineering, 32(10):1635-1650.

[30]Soe KT, Zhang YX, Zhang LC, 2013. Impact resistance of hybrid-fiber engineered cementitious composite panels. Composite Structures, 104:320-330.

[31]Tu ZG, Lu Y, 2009. Evaluation of typical concrete material models used in hydrocodes for high dynamic response simulations. International Journal of Impact Engineering, 36(1):132-146.

[32]Wang SS, Le HTN, Poh LH, et al., 2016. Resistance of high-performance fiber-reinforced cement composites against high-velocity projectile impact. International Journal of Impact Engineering, 95:89-104.

[33]Weerheijm J, van Doormaal JCAM, 2007. Tensile failure of concrete at high loading rates: new test data on strength and fracture energy from instrumented spalling tests. International Journal of Impact Engineering, 34(3):609-626.

[34]Wen CG, 2015. Study on Mechanical Performance of Engineering Fiber Reinforced Cementitious Composites PVA-ECC. MS Thesis, Henan Polytechnic University, Jiaozuo, China (in Chinese).

[35]Willam KJ, Warnke EP, 1975. Constitutive model for the triaxial behavior of concrete. Proceedings of International Association for Bridge and Structural Engineering, p.174.

[36]Xu H, Wen HM, 2013. Semi-empirical equations for the dynamic strength enhancement of concrete-like materials. International Journal of Impact Engineering, 60:76-81.

[37]Xu H, Wen HM, 2016. A computational constitutive model for concrete subjected to dynamic loadings. International Journal of Impact Engineering, 91:116-125.

[38]Xu SL, Cai XR, 2008. Basic mechanical properties of ultra high toughness cementitious composite. Journal of Hydraulic Engineering, 39(S2):1055-1063 (in Chinese).

[39]Xu SL, Li QH, 2010. Basic Application of Ultra High Toughness Cementitious Composites in Advanced Engineering Structures. Science Press, Beijing, China, p.5-6 (in Chinese).

[40]Xu SL, Chen C, Li QH, et al., 2019. Numerical simulation on dynamic compressive behavior of ultra-high toughness cementitious-composites. Engineering Mechanics, 36(9):50-59 (in Chinese).

[41]Yang EH, Li VC, 2014. Strain-rate effects on the tensile behavior of strain-hardening cementitious composites. Construction and Building Materials, 52:96-104.

[42]Zhao X, 2018. Experimental and Theoretical Study on the Dynamic Properties of Ultra High Toughness Cementitious. PhD Thesis, University of Zhejiang, Hangzhou, China (in Chinese).

[43]Zhou JJ, Pan JL, Leung CKY, et al., 2013. Experimental study on mechanical behaviors of pseudo-ductile cementitious composites under biaxial compression. Science China Technological Sciences, 56(4):963-969.

Open peer comments: Debate/Discuss/Question/Opinion

<1>

Please provide your name, email address and a comment





Journal of Zhejiang University-SCIENCE, 38 Zheda Road, Hangzhou 310027, China
Tel: +86-571-87952783; E-mail: cjzhang@zju.edu.cn
Copyright © 2000 - 2024 Journal of Zhejiang University-SCIENCE