Sensitivity Analysis,Determination and Optimization of Granite RHT Parameters
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摘要
The RHT model has 34 parameters,among which 19 parameters can be obtained by experiments or theoretical calculations and the remaining 15 parameters are difficult to acquire.In this study,firstly,10 Hopkinson impact tests were conducted to acquire the typical stress-strain curves of granite under dynamic loads.Through the sensitivity analysis,it is found that 13 of the 15 difficult-acquired parameters are effective to affect the shape of the stress-strain curve,and the other two parameters have no effect.Following the initial determination of model parameters with reference to the concrete RHT model,a new approach is proposed to optimize the 13 influential parameters through the LS-DYNA numerical simulation and orthogonal experiments.Finally,the determined granite RHT model parameters are verified by the results of Hopkinson impact tests conducted in this study and the bullet penetration test by Wang et al.Both results of the numerical simulations are in a good agreement with the tested results,which validates the suitability of the proposed method to acquire RHT model parameters for granite and the other rocks.
The RHT model has 34 parameters,among which 19 parameters can be obtained by experiments or theoretical calculations and the remaining 15 parameters are difficult to acquire.In this study,firstly,10 Hopkinson impact tests were conducted to acquire the typical stress-strain curves of granite under dynamic loads.Through the sensitivity analysis,it is found that 13 of the 15 difficult-acquired parameters are effective to affect the shape of the stress-strain curve,and the other two parameters have no effect.Following the initial determination of model parameters with reference to the concrete RHT model,a new approach is proposed to optimize the 13 influential parameters through the LS-DYNA numerical simulation and orthogonal experiments.Finally,the determined granite RHT model parameters are verified by the results of Hopkinson impact tests conducted in this study and the bullet penetration test by Wang et al.Both results of the numerical simulations are in a good agreement with the tested results,which validates the suitability of the proposed method to acquire RHT model parameters for granite and the other rocks.
The RHT model has 34 parameters,among which 19 parameters can be obtained by experiments or theoretical calculations and the remaining 15 parameters are difficult to acquire.In this study,firstly,10 Hopkinson impact tests were conducted to acquire the typical stress-strain curves of granite under dynamic loads.Through the sensitivity analysis,it is found that 13 of the 15 difficult-acquired parameters are effective to affect the shape of the stress-strain curve,and the other two parameters have no effect.Following the initial determination of model parameters with reference to the concrete RHT model,a new approach is proposed to optimize the 13 influential parameters through the LS-DYNA numerical simulation and orthogonal experiments.Finally,the determined granite RHT model parameters are verified by the results of Hopkinson impact tests conducted in this study and the bullet penetration test by Wang et al.Both results of the numerical simulations are in a good agreement with the tested results,which validates the suitability of the proposed method to acquire RHT model parameters for granite and the other rocks.
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,Wicklein M,Thoma K.Shock properties of conventional and high strength concrete,experimental and mesomechanical analysis[J].International Journal of Impact Engineering,2008,35(3):155.
[3]Chen Wai Fah.Plasticity in reinforced concrete[M].New York:McGraw Hill,1982.
[4]Zhang Xiong,Lian Yanping,Liu Yan.Material point method[M].Beijing:Tsinghua University Press,2013.(in Chinese)
[5]Huang Yonghui.The technology study on long-hole pyramid cut blasting in hard rock vertical shaft[D].Beijing:China University of Mining&Technology Beijing,2013.(in Chinese)
[6]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)
[7]Wang Haibing,Shou Liefeng,Zhang Jianxin.Experiments and numerical analysis of destructive effects of granite target under impact of projectile[J].Chinese Journal of Rock Mechanics and Engineering,2014,33(2):66-375.(in Chinese)
[8]Thomas B,Werner R.The RHT concrete model in LS-DYNA[C]∥Proceedings of the 8th European LS-DYNA Users Conference,Strasbourg,2011.
[9]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)
[10]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)
[11]Meyers M A.Dynamic behavior of materials[M].New York:Wiley&Sons,1994.
[12]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,1993.
[13]Thomas B,Werner R.The RHT concrete model in LS-DYNA[C]∥Proceedings of 8th European LS-DYNA Users Conference,Strasbourg,2011.
[14]Wu Guisheng,Yu Zhifu,Yu Shuzheng.Experimental design and data processing[M].Beijing:Metallurgical Industry Press,1997.(in Chinese)
[15]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)
[2]Riedel W,Wicklein M,Thoma K.Shock properties of conventional and high strength concrete,experimental and mesomechanical analysis[J].International Journal of Impact Engineering,2008,35(3):155.
[3]Chen Wai Fah.Plasticity in reinforced concrete[M].New York:McGraw Hill,1982.
[4]Zhang Xiong,Lian Yanping,Liu Yan.Material point method[M].Beijing:Tsinghua University Press,2013.(in Chinese)
[5]Huang Yonghui.The technology study on long-hole pyramid cut blasting in hard rock vertical shaft[D].Beijing:China University of Mining&Technology Beijing,2013.(in Chinese)
[6]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)
[7]Wang Haibing,Shou Liefeng,Zhang Jianxin.Experiments and numerical analysis of destructive effects of granite target under impact of projectile[J].Chinese Journal of Rock Mechanics and Engineering,2014,33(2):66-375.(in Chinese)
[8]Thomas B,Werner R.The RHT concrete model in LS-DYNA[C]∥Proceedings of the 8th European LS-DYNA Users Conference,Strasbourg,2011.
[9]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)
[10]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)
[11]Meyers M A.Dynamic behavior of materials[M].New York:Wiley&Sons,1994.
[12]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,1993.
[13]Thomas B,Werner R.The RHT concrete model in LS-DYNA[C]∥Proceedings of 8th European LS-DYNA Users Conference,Strasbourg,2011.
[14]Wu Guisheng,Yu Zhifu,Yu Shuzheng.Experimental design and data processing[M].Beijing:Metallurgical Industry Press,1997.(in Chinese)
[15]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)