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 ORCID:

Qing-hua Li

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

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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


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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.

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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

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