大理岩RHT模型参数确定研究
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摘要
RHT模型共计包含34个参数,其中A,n,f_s*,f_t*,Q0,g_c*,ξ,D_1,ε_p~m,A_f,n_f,p_(comp)和N因试验获取途径复杂较难确定,多数学者在利用RHT模型模拟岩石爆破破碎时,不管岩石种类如何变化都只是简单引用混凝土的相关参数,为了较为准确地获得大理岩的相关参数取值,以静力学试验、声波测试试验和SHPB冲击试验为基础,LSDyna数值模拟为手段,通过正交试验的方法对以上参数进行优化确定,并将参数优化前、后的模拟曲线分别与SHPB冲击大理岩的试验曲线进行对比.结果表明:以上参数经过正交模拟试验优化确定后,缩小了模拟曲线与SHPB冲击试验曲线的对比误差,得到了适用于大理岩的RHT模型参数.
RHT model includes 34 parameters.The values of A,n,f_s*,f_t*,Q_0,g_c*,ξ,D_1,ε_p~m,A_f,n_f,p_(comp) and N are hard to be determined due to the complicated experimental methods.In previous researches on simulation of rock blasting based on RHT model,many scholars quoted directly from the relevant parameters of concrete or they simply modified values of concrete parameters with little consideration of the kinds of rock material.To get the fairly accurate relevant parameter values of marble,the orthogonal experiment method and LS-Dyna numerical computation were used in this paper to determine and optimize the above parameters on the basis of static tests,wave velocity tests and SHPB impacting experiments.This paper also made a comparison between the simulation curves before and after the optimizing and the stress-strain curves of marble specimen processed by the SHPB impacting experiment.The final results show that the errors between the simulate curve and SHPB impacting experiment curve were decreased dramatically after the parameters had been processed by the orthogonal experiment.The appropriate parameters of the marble RHT model were obtained.
RHT model includes 34 parameters.The values of A,n,f_s*,f_t*,Q_0,g_c*,ξ,D_1,ε_p~m,A_f,n_f,p_(comp) and N are hard to be determined due to the complicated experimental methods.In previous researches on simulation of rock blasting based on RHT model,many scholars quoted directly from the relevant parameters of concrete or they simply modified values of concrete parameters with little consideration of the kinds of rock material.To get the fairly accurate relevant parameter values of marble,the orthogonal experiment method and LS-Dyna numerical computation were used in this paper to determine and optimize the above parameters on the basis of static tests,wave velocity tests and SHPB impacting experiments.This paper also made a comparison between the simulation curves before and after the optimizing and the stress-strain curves of marble specimen processed by the SHPB impacting experiment.The final results show that the errors between the simulate curve and SHPB impacting experiment curve were decreased dramatically after the parameters had been processed by the orthogonal experiment.The appropriate parameters of the marble RHT model were obtained.
引文
[1]Riedel W,Kawai N,Kondo K.Numerical assessment for impact strength measurements in concrete materials[J].International Journal of Impact Engineering,2009,36:283-293.
[2]Riedel W,Kawai N,Kondo K.Numerical assessment for impact strength measurements in concrete materials[J].International Journal of Impact Engineering.2009,36:283-293.
[3]张雄,廉艳平,刘岩.物质点法[M].北京:清华大学出版社,2013.Zhang Xiong,LianYanping,Liu Yan.Material point method[M].Beijing:Tsinghua University Press,2013.(in Chinese)
[4]黄永辉.立井硬岩深孔锥形掏槽爆破技术研究[D].北京:中国矿业大学(北京),2013.Huang Yonghui.The technology study on long-hole pyramid cut blasting in hard rockvertical shaft[D].Beijing:China University of Mining&Technology(Beijing),2013.(in Chinese)
[5]王宇涛.基于RHT本构的岩体爆破破碎模型研究[D].北京:中国矿业大学(北京),2015.Wang Yutao.The study of the broken model for rock mass blasting based on RHT constitutive equations[D].Beijing:China University of Mining&Technology(Beijing),2015.(in Chinese)
[6]张青成.应力波作用下花岗岩损伤演化的试验研究[D].北京:中国矿业大学(北京),2014.Zhang Qingcheng.Granite in the damage evolution of the stress wave effect of experimental research[D].Beijing:China University of Mining&Technology(Beijing),2014.(in Chinese)
[7]陆华.冲击荷载下红砂岩流固耦合的动力响应及损伤效应研究[D].北京:中国矿业大学(北京),2013.Lu Hua.Research on dynamic responses and damage effect of red sandstone with fluid-solid coupling under impact loading[D].Beijing:China University of Mining&Technology-Beijing,2013.(in Chinese)
[8]Meyers M A.Dynamic behavior of materials[M].New York:Wiley&Sons,1994.
[9]Holmquist T J.A computational constitutive model for concrete subjected to large strains,high strain rates,and high pressures[C]∥Proceedings of the 14th International Symposium on Ballistics.Quebec:[s.n.],1993:591-600.
[10]Thomas B,Werner R.The RHT concrete model in LS-DYNA[C]∥Proceedings of the 8th European LSDYNA Users Conference.Strasbourg:[s.n.],2011.
[11]李洪超.岩石RHT模型理论及主要参数确定方法研究[D].北京:中国矿业大学(北京),2016.Li Hongchao.The study of the rock RHT model and to determine the value of main parameters[D].Beijing:China University of Mining&Technology(Beijing),2016.(in Chinese)
[12]吴贵生,于治福,于淑政.试验设计与数据处理[M].北京:冶金工业出版社,1997.Wu Guisheng,Yu Zhifu,Yu Shuzheng.Experimental design and data processing[M].Beijing:Metallurgical Industry Press,1997.(in Chinese)
[2]Riedel W,Kawai N,Kondo K.Numerical assessment for impact strength measurements in concrete materials[J].International Journal of Impact Engineering.2009,36:283-293.
[3]张雄,廉艳平,刘岩.物质点法[M].北京:清华大学出版社,2013.Zhang Xiong,LianYanping,Liu Yan.Material point method[M].Beijing:Tsinghua University Press,2013.(in Chinese)
[4]黄永辉.立井硬岩深孔锥形掏槽爆破技术研究[D].北京:中国矿业大学(北京),2013.Huang Yonghui.The technology study on long-hole pyramid cut blasting in hard rockvertical shaft[D].Beijing:China University of Mining&Technology(Beijing),2013.(in Chinese)
[5]王宇涛.基于RHT本构的岩体爆破破碎模型研究[D].北京:中国矿业大学(北京),2015.Wang Yutao.The study of the broken model for rock mass blasting based on RHT constitutive equations[D].Beijing:China University of Mining&Technology(Beijing),2015.(in Chinese)
[6]张青成.应力波作用下花岗岩损伤演化的试验研究[D].北京:中国矿业大学(北京),2014.Zhang Qingcheng.Granite in the damage evolution of the stress wave effect of experimental research[D].Beijing:China University of Mining&Technology(Beijing),2014.(in Chinese)
[7]陆华.冲击荷载下红砂岩流固耦合的动力响应及损伤效应研究[D].北京:中国矿业大学(北京),2013.Lu Hua.Research on dynamic responses and damage effect of red sandstone with fluid-solid coupling under impact loading[D].Beijing:China University of Mining&Technology-Beijing,2013.(in Chinese)
[8]Meyers M A.Dynamic behavior of materials[M].New York:Wiley&Sons,1994.
[9]Holmquist T J.A computational constitutive model for concrete subjected to large strains,high strain rates,and high pressures[C]∥Proceedings of the 14th International Symposium on Ballistics.Quebec:[s.n.],1993:591-600.
[10]Thomas B,Werner R.The RHT concrete model in LS-DYNA[C]∥Proceedings of the 8th European LSDYNA Users Conference.Strasbourg:[s.n.],2011.
[11]李洪超.岩石RHT模型理论及主要参数确定方法研究[D].北京:中国矿业大学(北京),2016.Li Hongchao.The study of the rock RHT model and to determine the value of main parameters[D].Beijing:China University of Mining&Technology(Beijing),2016.(in Chinese)
[12]吴贵生,于治福,于淑政.试验设计与数据处理[M].北京:冶金工业出版社,1997.Wu Guisheng,Yu Zhifu,Yu Shuzheng.Experimental design and data processing[M].Beijing:Metallurgical Industry Press,1997.(in Chinese)