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.
概要
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。
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Shi-lang XU designed the research. Qing-hua LI and Ping WU processed the corresponding data. Ping WU wrote the first draft of the manuscript. Fei ZHOU, Xiao JIANG, and Bo-kun CHEN helped to organize the manuscript. Ping WU revised and edited the final version.
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Conflict of interest
Shi-lang XU, Ping WU, Fei ZHOU, Xiao JIANG, Bo-kun CHEN, and Qing-hua LI declare that they have no conflict of interest.
Project supported by the National Natural Science Foundation of China (Nos. 51678522 and 51878601)
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Xu, Sl., Wu, P., Zhou, F. et al. A dynamic constitutive model of ultra high toughness cementitious composites. J. Zhejiang Univ. Sci. A 21, 939–960 (2020). https://doi.org/10.1631/jzus.A1900599
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DOI: https://doi.org/10.1631/jzus.A1900599
Key words
- Holmquist–Johnson–Cook (HJC) model
- Ultra high toughness cementitious composite (UHTCC)
- Constitutive model
- Explosion test
- Projectile penetration
- Numerical simulation