一种新形式的钢纤维混凝土冲击动态本构关系及材料参数的确定
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摘要
采用■75mm大口径SHPB系统进行了钢纤维体积率为0%、0.75%、1.5%三种混凝土材料动态性能实验,得出了不同钢纤维含量、不同应变率下的材料应力-应变关系曲线,实验结果表明:随着纤维含量及应变率的增加,钢纤维混凝土材料的峰值应变、峰值应力都随之提高,并在峰值应力之后出现应力的应变软化现象。以此实验结果为基础,提出了一种依赖于应变和应变率相关函数的新型非线性黏塑性动态本构关系,并通过对实验曲线的三步逐次最小二乘优选模拟,得到了相应的材料参数。结果表明,该本构关系对实验数据的模拟效果较好。
In the present study we carried out the dynamic compression experiments of steel fiber reinforced concrete with the fiber volume ratios of 0%,0.75%and 1.5% using the75 mm large-diameter split Hopkinson pressure bar experimental system to obtain the stress-strain curves at different strain rates.The experimental results show that with the increase of the fiber content and the strain rate,both the peak strain and the peak stress of the steel reinforced concrete rise higher,and the strain softening is observed after the peak stress.Based on the assumption that there are two independent factors controlling the dynamic behavior of the steel fiber reinforced concrete,one related to the strain to indicate the nonlinear stress-strain behavior and the other related to the strain rate to express the strain rate effect,a new type of the dynamic nonlinear viscoplastic constitutive equation was proposed.The details concerning how to get the equation and the material parameters were discussed thoroughly.The experiment curves were fitted using the least squares optimization numerical simulations.Good agreement between the numerical simulations and the experiment curves was achieved,thereby concluding that the new constitutive relation proposed is perfect for steel fiber reinforced concrete.
In the present study we carried out the dynamic compression experiments of steel fiber reinforced concrete with the fiber volume ratios of 0%,0.75%and 1.5% using the75 mm large-diameter split Hopkinson pressure bar experimental system to obtain the stress-strain curves at different strain rates.The experimental results show that with the increase of the fiber content and the strain rate,both the peak strain and the peak stress of the steel reinforced concrete rise higher,and the strain softening is observed after the peak stress.Based on the assumption that there are two independent factors controlling the dynamic behavior of the steel fiber reinforced concrete,one related to the strain to indicate the nonlinear stress-strain behavior and the other related to the strain rate to express the strain rate effect,a new type of the dynamic nonlinear viscoplastic constitutive equation was proposed.The details concerning how to get the equation and the material parameters were discussed thoroughly.The experiment curves were fitted using the least squares optimization numerical simulations.Good agreement between the numerical simulations and the experiment curves was achieved,thereby concluding that the new constitutive relation proposed is perfect for steel fiber reinforced concrete.
引文
[1]曹吉星.钢纤维混凝土的动态本构模型及其有限元方法[D].成都:西南交通大学,2011.
[2]严少华,钱七虎,孙伟.钢纤维高强混凝土单轴压缩下应力-应变关系[J].东南大学学报,2001,31(2):77-80.YAN Shaohua,QIAN Qihu,SUN Wei.Stress-strain relationship of high-strength steel fiber reinforced concrete in compression[J].Journal of Southeast University,2001,31(2):77-80.
[3]金凤杰,许金余,范飞林,等.钢纤维混凝土的高温动态强度特性[J].硅酸盐通报,2013,32(4):110-114.JIN Fengjie,XU Jinyu,FAN Feilin,et al.Strength property of steel fiber reinforced concrete at elevated temperature[J].Bulletin of the Chinese Ceramic Society,2013,32(4):110-114.
[4]严少华,李志成,王明洋,等.高强钢纤维混凝土冲击压缩特性试验研究[J].爆炸与冲击,2002,22(3):237-241.YAN Shaohua,LI Zhicheng,WANG Mingyang,et al.Dynamic compressive behaivour of high-strength steel fiber reinforced concrete[J].Explosion and Shock Waves,2002,22(3):237-241.
[5]赵碧华,刘永胜.超短钢纤维混凝土的SHPB试验研究[J].混凝土,2007(8):55-57.ZHAO Bihua,LIU Yongsheng.Impact compressive experiment of spur-short steel fiber reinforced concrete by SHPB[J].Concrete,2007(8):55-57.
[6]杜修力,窦国钦,李亮,等.纤维高强土的动态力学性能试验研究[J].工程力学,2011,28(4):138-144.DU Xiuli,DOU Guoqin,LI Liang,et al.Exepeimental study on dynamic mechanical properties of fiber reinforced high strength concrete[J].Engineering Mechanics,2011,28(4):138-144.
[7]尚兵,胡时胜,姜锡权.金属材料SHPB实验数据处理的三波校核法[J].爆炸与冲击,2010,30(4):429-432.SHANG Bing,HU Shisheng,JIANG Xiquan.A three-wave coupling method for data treatment in SHPB experiments with metal samples[J].Explosion and Shock Waves,2010,30(4):429-432.
[2]严少华,钱七虎,孙伟.钢纤维高强混凝土单轴压缩下应力-应变关系[J].东南大学学报,2001,31(2):77-80.YAN Shaohua,QIAN Qihu,SUN Wei.Stress-strain relationship of high-strength steel fiber reinforced concrete in compression[J].Journal of Southeast University,2001,31(2):77-80.
[3]金凤杰,许金余,范飞林,等.钢纤维混凝土的高温动态强度特性[J].硅酸盐通报,2013,32(4):110-114.JIN Fengjie,XU Jinyu,FAN Feilin,et al.Strength property of steel fiber reinforced concrete at elevated temperature[J].Bulletin of the Chinese Ceramic Society,2013,32(4):110-114.
[4]严少华,李志成,王明洋,等.高强钢纤维混凝土冲击压缩特性试验研究[J].爆炸与冲击,2002,22(3):237-241.YAN Shaohua,LI Zhicheng,WANG Mingyang,et al.Dynamic compressive behaivour of high-strength steel fiber reinforced concrete[J].Explosion and Shock Waves,2002,22(3):237-241.
[5]赵碧华,刘永胜.超短钢纤维混凝土的SHPB试验研究[J].混凝土,2007(8):55-57.ZHAO Bihua,LIU Yongsheng.Impact compressive experiment of spur-short steel fiber reinforced concrete by SHPB[J].Concrete,2007(8):55-57.
[6]杜修力,窦国钦,李亮,等.纤维高强土的动态力学性能试验研究[J].工程力学,2011,28(4):138-144.DU Xiuli,DOU Guoqin,LI Liang,et al.Exepeimental study on dynamic mechanical properties of fiber reinforced high strength concrete[J].Engineering Mechanics,2011,28(4):138-144.
[7]尚兵,胡时胜,姜锡权.金属材料SHPB实验数据处理的三波校核法[J].爆炸与冲击,2010,30(4):429-432.SHANG Bing,HU Shisheng,JIANG Xiquan.A three-wave coupling method for data treatment in SHPB experiments with metal samples[J].Explosion and Shock Waves,2010,30(4):429-432.