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WANG Teng, ZHENG Guang, ZHENG Yuxuan, ZHOU Fenghua. Simulation analysis and experimental verification of dynamic mechanical properties of white sandstone based on different constitutive models[J]. Explosion And Shock Waves. doi: 10.11883/bzycj-2024-0436
Citation: WANG Teng, ZHENG Guang, ZHENG Yuxuan, ZHOU Fenghua. Simulation analysis and experimental verification of dynamic mechanical properties of white sandstone based on different constitutive models[J]. Explosion And Shock Waves. doi: 10.11883/bzycj-2024-0436

Simulation analysis and experimental verification of dynamic mechanical properties of white sandstone based on different constitutive models

doi: 10.11883/bzycj-2024-0436
  • Received Date: 2024-11-07
  • Rev Recd Date: 2025-03-07
  • Available Online: 2025-03-12
  • The dynamic mechanical properties of deep rocks are critical to understanding geological processes and optimizing resource extraction. Accurately understanding the dynamic mechanical properties of deep rocks not only provides insights into the geological processes and evolution of Earth's interior, but also offers a theoretical basis for the effective extraction of deep minerals and energy. In this study, the dynamic mechanical behavior of white sandstone from a coal mine was experimentally and numerically analyzed under uniaxial, biaxial, and triaxial stress conditions. Numerical simulations based on three constitutive models consisting of the Riedel-Hiermaier-Thoma (RHT) model, the Holmquist-Johnson-Cook (HJC) model, and the continuous surface cap model (CSCM), were validated by using experimental results from three-dimensional Hopkinson bar tests. The results indicate that the shear failure damage of white sandstone specimens decreases with the increasing prestress, with triaxial stress conditions yielding significantly lower damage than uniaxial or biaxial conditions. Among the three models, the RHT constitutive model demonstrates the closest agreement with the experimental results in terms of stress waveforms, peak stress, peak strain, and damage degree. Compared with the experimental data, the RHT model exhibits a stress peak deviation rate of 3.5% and 13.6% for the reflected wave under uniaxial and biaxial conditions, respectively, while the stress peak deviation rate for the transmitted wave is the lowest. Additionally, the peak stress and strain values predicted by the RHT model are numerically closer to the experimental results. The damage state predicted by the RHT model also aligns well with the experimental observations: under uniaxial loading, the damage exhibits a U-shaped pattern, whereas the HJC model showed a larger V-shaped damage pattern and fracture, and the CSCM model displayed surface damage with a smaller affected area. In terms of energy absorption and dissipation, the simulation results based on the three constitutive models shows minimal differences. The incident, reflected, and transmitted energy values are nearly identical across all three models. In addition, the damage degree of the white sandstone specimens increases with the impact velocity. The damage simulation results of the three constitutive models also show an increasing trend with the impact velocity, while retaining the damage characteristics.
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  • [1]
    RIEDEL W, KAWAI N, KONDO K I. Numerical assessment for impact strength measurements in concrete materials [J]. International Journal of Impact Engineering, 2009, 36(2): 283–293. DOI: 10.1016/j.ijimpeng.2007.12.012.
    [2]
    WU G L, WANG H. Nonlinear correction of elastic section in HJC constitutive model [J]. International Journal of Impact Engineering, 2024, 189: 104955. DOI: 10.1016/j.ijimpeng.2024.104955.
    [3]
    LI X H, ZHU Z M, WANG M, et al. Numerical study on the behavior of blasting in deep rock masses [J]. Tunnelling and Underground Space Technology, 2021, 113: 103968. DOI: 10.1016/j.tust.2021.103968.
    [4]
    WANG Z L, WANG H C, WANG J G, et al. Finite element analyses of constitutive models performance in the simulation of blast-induced rock cracks [J]. Computers and Geotechnics, 2021, 135: 104172. DOI: 10.1016/j.compgeo.2021.104172.
    [5]
    LI X D, LIU K W, SHA Y Y, et al. Experimental and numerical investigation on rock fracturing in tunnel contour blasting under initial stress [J]. International Journal of Impact Engineering, 2024, 185: 104844. DOI: 10.1016/j.ijimpeng.2023.104844.
    [6]
    LIU J, ZHANG J C. A modified HJC model for geological materials subjected to blasting loadings [J]. Structures, 2023, 58: 105483. DOI: 10.1016/j.istruc.2023.105483.
    [7]
    宋彦臣, 刘学鹏, 王君杰, 等. 混凝土帽盖模型参数标定及桥梁冲击损伤模拟应用 [J]. 中国公路学报, 2024, 37(5): 151–174. DOI: 10.19721/j.cnki.1001-7372.2024.05.009.

    SONG Y C, LIU X P, WANG J J, et al. Calibration of parameters for the concrete cap model and its applications in simulating impact-induced damage in bridges [J]. China Journal of Highway and Transport, 2024, 37(5): 151–174. DOI: 10.19721/j.cnki.1001-7372.2024.05.009.
    [8]
    YIN X, LI Q H, XU X Y, et al. Investigation of continuous surface cap model (CSCM) for numerical simulation of strain-hardening fibre-reinforced cementitious composites against low-velocity impacts [J]. Composite Structures, 2023, 304: 116424. DOI: 10.1016/j.compstruct.2022.116424.
    [9]
    DENG Z, ZHU Z M, ZHOU L, et al. Effect of dynamic loading orientation on fracture properties of surrounding rocks in twin tunnels [J]. Journal of Rock Mechanics and Geotechnical Engineering, 2024, 16(2): 393–409. DOI: 10.1016/j.jrmge.2023.06.017.
    [10]
    匡志平, 袁训康. RHT混凝土本构模型强度参数分析与模拟 [J]. 力学季刊, 2012, 33(1): 158–163. DOI: 10.15959/j.cnki.0254-0053.2012.01.016.

    KUANG Z P, YUAN X K. The analysis and simulation for the strength parameters of RHT concrete model [J]. Chinese Quarterly of Mechanics, 2012, 33(1): 158–163. DOI: 10.15959/j.cnki.0254-0053.2012.01.016.
    [11]
    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.
    [12]
    XIE L X, LU W B, ZHANG Q B, et al. Analysis of damage mechanisms and optimization of cut blasting design under high in-situ stresses [J]. Tunnelling and Underground Space Technology, 2017, 66: 19–33. DOI: 10.1016/j.tust.2017.03.009.
    [13]
    BORRVALL T, RIEDEL W. The RHT concrete model in LS-DYNA [C]//Proceedings of the 8th European LS-DYNA User Conference. Strasbourg, 2011: 23–24.
    [14]
    MEYERS M A. Dynamic behavior of materials [M]. New York: John Wiley & Sons, 1994.
    [15]
    LSTC. LS-DYNA® keyword user’s manual Volume Ⅱ: material models: LS-DYNA R7.1 [R]. Livermore: LSTC Co. , 2007.
    [16]
    HOLMQUIST T J, JOHNSON G R. A computational constitutive model for glass subjected to large strains, high strain rates and high pressures [J]. Journal of Applied Mechanics, 2011, 78(5): 051003. DOI: 10.1115/1.4004326.
    [17]
    SCHWER L E, MURRAY Y D. A three‐invariant smooth cap model with mixed hardening [J]. International Journal for Numerical and Analytical Methods in Geomechanics, 1994, 18(10): 657–688. DOI: 10.1002/nag.1610181002.
    [18]
    MURRAY Y D, LEWIS B A. Numerical simulation of damage in concrete: DNA-TR-94-190 [R]. APTEK, Inc. , Contract DNA, 1995: 1–91.
    [19]
    DUVAUT G, LIONS J L. Les inéquations en mécanique et en physique [M]. Paris: Dunod, 1972.
    [20]
    YANG J C, LIU K W, LI X D, et al. Stress initialization methods for dynamic numerical simulation of rock mass with high in-situ stress [J]. Journal of Central South University, 2020, 27(10): 3149–3162. DOI: 10.1007/s11771-020-4535-3.
    [21]
    吕绍品, 郑光, 郑宇轩, 等. 静水压下白砂岩的动态力学性能研究 [J]. 硅酸盐通报, 2024, 43(2): 543–554. DOI: 10.16552/j.cnki.issn1001-1625.2024.02.019.

    LÜ S P, ZHENG G, ZHENG Y X, et al. Dynamic mechanical properties of white sandstone under hydrostatic pressure [J]. Bulletin of the Chinese Ceramic Society, 2024, 43(2): 543–554. DOI: 10.16552/j.cnki.issn1001-1625.2024.02.019.
    [22]
    王礼立. 应力波基础 [M]. 2版. 北京: 国防工业出版社, 2005.

    WANG L L. Foundation of stress waves [M]. 2nd ed. Beijing: National Defense Industry Press, 2005.
    [23]
    LUNDBERG B. A split Hopkinson bar study of energy absorption in dynamic rock fragmentation [J]. International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, 1976, 13(6): 187–197. DOI: 10.1016/0148-9062(76)91285-7.
    [24]
    RIEDEL W, THOMA K, HIERMAIER S, et al. Penetration of reinforced concrete by BETA-B-500 numerical analysis using a new macroscopic concrete model for hydrocodes [C]//Proceedings of the 9th International Symposium on the Effects of Munitions with Structures. Berlin, 1999: 315–322.
    [25]
    杜闯, 宋帅, 张江鹏. 爆炸冲击作用下三种混凝土本构模型对比研究 [J]. 兵器装备工程学报, 2022, 43(11): 49–56. DOI: 10.11809/bqzbgcxb2022.11.007.

    DU C, SONG S, ZHANG J P. Comparative study on three concrete constitutive models under blast loading [J]. Journal of Ordnance Equipment Engineering, 2022, 43(11): 49–56. DOI: 10.11809/bqzbgcxb2022.11.007.
    [26]
    WANG Z L, NI Y, WANG J G, et al. Improvement and performance analysis of constitutive model for rock blasting damage simulation [J]. Simulation Modelling Practice and Theory, 2025, 138: 103043. DOI: 10.1016/j.simpat.2024.103043.
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