方秦, 孔祥振, 吴昊, 龚自明. 岩石Holmquist-Johnson-Cook模型参数的确定方法[J]. 工程力学, 2014, 31(3): 197-204. DOI: 10.6052/j.issn.1000-4750.2012.10.0780
引用本文: 方秦, 孔祥振, 吴昊, 龚自明. 岩石Holmquist-Johnson-Cook模型参数的确定方法[J]. 工程力学, 2014, 31(3): 197-204. DOI: 10.6052/j.issn.1000-4750.2012.10.0780
FANG Qin, KONG Xiang-zhen, WU Hao, GONG Zi-ming. DETERMINATION OF HOLMQUIST-JOHNSON-COOK CONSITIUTIVE MODEL PARAMETERS OF ROCK[J]. Engineering Mechanics, 2014, 31(3): 197-204. DOI: 10.6052/j.issn.1000-4750.2012.10.0780
Citation: FANG Qin, KONG Xiang-zhen, WU Hao, GONG Zi-ming. DETERMINATION OF HOLMQUIST-JOHNSON-COOK CONSITIUTIVE MODEL PARAMETERS OF ROCK[J]. Engineering Mechanics, 2014, 31(3): 197-204. DOI: 10.6052/j.issn.1000-4750.2012.10.0780

岩石Holmquist-Johnson-Cook模型参数的确定方法

DETERMINATION OF HOLMQUIST-JOHNSON-COOK CONSITIUTIVE MODEL PARAMETERS OF ROCK

  • 摘要: Holmquist-Johnson-Cook(HJC)本构模型在混凝土冲击爆炸数值模拟中应用广泛, 该文将其推广到岩石类材料中, 为合理确定岩石材料的HJC本构模型参数, 从塑性屈服面理论出发, 得到了特征化黏性强度系数与帽盖模型参数的关系。基于三轴围压实验、Hugoniot实验和Hopkinson压杆实验数据, 分别得到了Salem石灰岩极限面参数、压力参数和率效应参数的取值。基于上述模型参数利用有限元程序LS-DYNA对Salem石灰岩的弹体侵彻实验进行了数值模拟, 侵彻深度的计算结果与实验数据对比表明了本文所提出的HJC本构模型参数确定方法的合理性和有效性。以相对侵彻深度为目标函数, 对Salem石灰岩HJC模型所涉及的19个参数的敏感性进行了分析, 并对一般岩石材料的HJC模型参数的确定给出了建议方法, 并通过模拟高强花岗岩和Sidewinder凝灰岩弹体侵彻实验, 进一步验证了该文提出方法的合理性。

     

    Abstract: The Holmquist-Johnson-Cook (HJC) model is a computational model for describing the dynamic constitutive behaviours of concrete. In this paper, the HJC model was extended to describe the dynamic behaviours of rock. In order to rationally determine the parameters of HJC rock constitutive model, the relationship between the cohesion parameter and the cap model parameters was derived firstly based on the plastic yield surface theory. Secondly, the strength, pressure and strain rate constants were obtained based on the tri-axial compression test, the Hugoniot experiment, and the Hopkinson pressure bar experiment. Thirdly, the projectile penetration tests on Salem limestone targets were numerically simulated by using finite element program LS-DYNA, and the obtained parameters values were verified by comparison between the depth of penetration obtained from experiments and numerical simulations. Furthermore, the sensitivities of 19 parameters related with the HJC model were discussed, and the approach for acquiring HJC model parameters of general rocks was recommended. The proposed method was verified by comparing the penetration depth between the simulation results and the projectile penetration tests on high strength granite and Sidewinder tuff.

     

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