SFRC细观数值建模方法及纤维方向对断裂性能影响的分析
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摘要
基于钢纤维随机生成算法建立了钢纤维水泥砂浆(SFRC)细观有限元数值模型,将模型不同截面处的钢纤维数量进行统计,与试验统计结果进行了对比。采用粘聚裂纹模型,模拟了钢纤维水泥砂浆弯曲断裂全过程,得到了断裂全过程曲线,研究了纤维分布方向对钢纤维水泥砂浆断裂全过程的影响。结果表明:模型截面钢纤维含量与试验统计结果较为一致,提出的钢纤维随机生成算法较为合理;数值模拟得到的全曲线结果与试验结果对比较好;纤维分布方向与主拉应力方向的夹角超过60°时,对复合材料弯曲失效的峰值荷载的增强效果不明显。
A finite element numerical model mesoscopic steel fiber reinforced cementitious composites(SFRC)for was established based on a stochastic algorithm.The number of fibers of different sections of the model were counted,and the statistical results were compared with test results.The whole processes of bend fracture for SFRC beam were simulated using the cohesive crack model.The curves of whole fracture processes were obtained.Moreover,the influence of fiber orientation on the whole processes of fracture for SFRC was investigated.The result shows that,the statistical fiber contents in different model sections agree well with the test results.The random generation algorithm for steel fibers are rational;the curves of whole simulated fracture processes are consistent with the experimental observations;when the angle between fiber orientation and principal tensile stress is more than 60°,the reinforcement of steel fibers on peak load is not significant.
A finite element numerical model mesoscopic steel fiber reinforced cementitious composites(SFRC)for was established based on a stochastic algorithm.The number of fibers of different sections of the model were counted,and the statistical results were compared with test results.The whole processes of bend fracture for SFRC beam were simulated using the cohesive crack model.The curves of whole fracture processes were obtained.Moreover,the influence of fiber orientation on the whole processes of fracture for SFRC was investigated.The result shows that,the statistical fiber contents in different model sections agree well with the test results.The random generation algorithm for steel fibers are rational;the curves of whole simulated fracture processes are consistent with the experimental observations;when the angle between fiber orientation and principal tensile stress is more than 60°,the reinforcement of steel fibers on peak load is not significant.
引文
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[16]Laranjeira F.Design-oriented constitutive model for steel fiber reinforced concrete[D].Universitat Politècnica De Catalunya,2011.
[17]Su T K,Jin K K.The relation between fiber orientation and tensile behavior in an ultra high performance fiber reinforced cementitious composites(UHPFRCC)[J].Cement and Concrete Research,2011,41(10):1001~1014.
[18]Mu R,Li H,Qing L B,et al.Aligning steel fibers in cement mortar using electro-magnetic field[J].Construction and Building Materials,2017,131:309~316.
[19]Abrishambaf A,Pimentel M,Nunes S.Influence of fibre orientation on the tensile behaviour of ultra-high performance fibre reinforced cementitious composites[J].Cement and Concrete Research,2017,97:28~40.
[20]卿龙邦,聂雅彤,慕儒,等.定向钢纤维水泥基复合材料断裂理论分析及试验[J].材料科学与工程学报,2017,35(2):242~247.
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[22]Spring D W,Paulino G H.A growing library of threedimensional cohesive elements for use in ABAQUS[J].Engineering Fracture Mechanics,2014,126:190~216.
[23]田稳苓,马林翔,卿龙邦,等.钢纤维分布形式及试件尺寸对水泥基复合材料弯曲性能的影响[J].混凝土,2016(8):71~74.
[2]朱海堂,高丹盈,谢丽,等.钢纤维高强混凝土弯曲韧性的研究[J].硅酸盐学报,2004,32(5):656~660.
[3]Xu Z,Hao H,Li H N.Experimental study of dynamic compressive properties of fibre reinforced concrete material with different fibres[J].Materials and Design,2012,33:42~45.
[4]赵军,李洪杰,高丹盈.锈蚀后钢纤维和钢纤维混凝土的力学性能[J].建筑材料学报,2015,18(3):409~414.
[5]宋玉普,赵国藩,黄承逵,等.三向应力状态下钢纤维混凝土的变形特征[J].水利学报,1995(5):1~8.
[6]孔宪京,屈永倩,邹德高,等.钢纤维混凝土面板堆石坝的抗震性能数值分析[J].水利学报,2016,47(7):841~849.
[7]Xu Z,Hao H,Li H N.Mesoscale modelling of dynamic tensile behaviour of fibre reinforced concrete with spiral fibres[J].Cement and Concrete Research,2012,42(11):72~88.
[8]龙源,万文乾,纪冲,等.基于WEIBULL概率分布的钢纤维混凝土材料损伤演化分析[J].材料科学与工程学报,2007,25(6):830~832.
[9]Schlangen E,Zhiwei Q.3D Modeling of fracture in cementbased materials[J].Journal of Multiscale Modelling,2009,1(2):245~261.
[10]Schlangen E.A numerical approach for the design of multiscale fibre-reinforced cementitious composites[J].Philosophical Magazine,2015,95(28~30):3305~3327.
[11]Montero F,Schlangen E.Modelling of fracture in fibre-cement based materials[C].Brittle Matrix Composites,Polish Acad Sci,Inst Fundamental Technol Res(IFTR),Warsaw,POLAND,OCT 15~17,2012,51~60.
[12]程书怀,任志刚,余细东,等.钢纤维混凝土细观二维建模与数值研究[J],武汉理工大学学报,2015,37(3):69~74.
[13]Qin F,Zhang J H.Three-dimensional modeling of steel fiber reinforced concrete material under intense dynamic loading[J].Construction and Building Materials,2013,44:118~132.
[14]刘丰.钢纤维混凝土细观层次数值模拟研究[D].广州:华南理工大学,2014.
[15]Rena C Y,Hector C,et al.Dynamic fracture behaviour in fibre-reinforced cementitious composites[J].Journal of the Mechanics and Physics of Solids,2016,93:135~152.
[16]Laranjeira F.Design-oriented constitutive model for steel fiber reinforced concrete[D].Universitat Politècnica De Catalunya,2011.
[17]Su T K,Jin K K.The relation between fiber orientation and tensile behavior in an ultra high performance fiber reinforced cementitious composites(UHPFRCC)[J].Cement and Concrete Research,2011,41(10):1001~1014.
[18]Mu R,Li H,Qing L B,et al.Aligning steel fibers in cement mortar using electro-magnetic field[J].Construction and Building Materials,2017,131:309~316.
[19]Abrishambaf A,Pimentel M,Nunes S.Influence of fibre orientation on the tensile behaviour of ultra-high performance fibre reinforced cementitious composites[J].Cement and Concrete Research,2017,97:28~40.
[20]卿龙邦,聂雅彤,慕儒,等.定向钢纤维水泥基复合材料断裂理论分析及试验[J].材料科学与工程学报,2017,35(2):242~247.
[21]Greenberger M.An a priori determination of serial correlation in computer generated random numbers[J].Mathematics of Computation,1961,15(76):383~383.
[22]Spring D W,Paulino G H.A growing library of threedimensional cohesive elements for use in ABAQUS[J].Engineering Fracture Mechanics,2014,126:190~216.
[23]田稳苓,马林翔,卿龙邦,等.钢纤维分布形式及试件尺寸对水泥基复合材料弯曲性能的影响[J].混凝土,2016(8):71~74.