混凝土受拉性能多尺度均匀化数值模拟研究
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摘要
为研究混凝土的细观结构对其受拉性能的影响,本文首先采用蒙特卡罗方法生成了多组混凝土随机骨料模型;然后划分有限元网格并映射到所建立的混凝土随机骨料数值模型上,采用复合材料均匀化方法建立了混凝土多尺度均匀化数值模型。考虑骨料随机分布和骨料形状,通过数值分析得到了在单轴拉伸情况下混凝土损伤分布特性及宏观应力-应变关系,在考虑随机性与非均质性的同时得到了较为理想的结果。运用多尺度均匀化的建模方法不仅能反应混凝土细观结构的影响,而且等效化模型的模拟计算时间大大减少,节约计算资源,提高了计算效率,具有优越性。
Multi-scale simulation methods are useful for the study on the effects of concrete mesoscopic structure on its characteristics, but cost and requirement on computation recourse are high. In order to study the effects of the mesoscopic structure of concrete model on its tensile behavior, a mesoscopic numerical concrete model composed of random aggregates and mortar matrix is generated at first based on the Monte Carlo random sampling principle. Then, a finite element meshing is established and projected onto the numerical concrete model with random aggregates distribution based on characteristic elements of concrete. The mechanical properties of each characteristic element are determined by an equivalent modeling approach for composite materials. The stress-strain curves of concrete under uniaxial tension and the corresponding tensile damage distribution for different numerical concrete models with different aggregates distribution and aggregates shape. The ideal results are obtained while considering randomness and heterogeneity. The multi-scale homogenization method is efficient in numerical study on the behavior of concrete at mesoscopic with lower computational resource requirement.
Multi-scale simulation methods are useful for the study on the effects of concrete mesoscopic structure on its characteristics, but cost and requirement on computation recourse are high. In order to study the effects of the mesoscopic structure of concrete model on its tensile behavior, a mesoscopic numerical concrete model composed of random aggregates and mortar matrix is generated at first based on the Monte Carlo random sampling principle. Then, a finite element meshing is established and projected onto the numerical concrete model with random aggregates distribution based on characteristic elements of concrete. The mechanical properties of each characteristic element are determined by an equivalent modeling approach for composite materials. The stress-strain curves of concrete under uniaxial tension and the corresponding tensile damage distribution for different numerical concrete models with different aggregates distribution and aggregates shape. The ideal results are obtained while considering randomness and heterogeneity. The multi-scale homogenization method is efficient in numerical study on the behavior of concrete at mesoscopic with lower computational resource requirement.
引文
[1]金浏.细观混凝土分析模型与方法研究[D].北京:北京工业大学,2014.(JIN Liu.Study on meso-scopic model and analysis method of concrete[D].Beijing:Beijing University of Technology,2014(in Chinese)).
[2]杜修力,金浏.混凝土材料宏观力学特性分析的细观单元等效化模型[J].计算力学学报,2012,29(5):654-661.(DU Xiuli,JINLiu.Meso-element equivalent model for macro-scopic mechanical properties analysis of concrete materials[J].Chinese journal of computational mechanics,2012,29(5):654-661(in Chinese)).
[3]CUSATIS G,REZAKHANI R,ALNAGGAR M,et al.Multi-scale computational models for the simulation of concrete materials and structures[C]//Proceedings of EURO-C 2014 Conference.London,UK:Taylor&Francis Group,2014:23-38.
[4]SUN B,LI Z.Multi-scale modeling and trans-level simulation from material meso-damage to structural failure of reinforced concrete frame structures under seismic loading[J].Journal of computational science,2016,12:38-50.
[5]SCHLANGEN E,GARBOCAI E J.Fracture simulation of concrete using lattice models:computational aspects[J].Engineering fracture mechanics,1997,57(2/3):319-322.
[6]BAZANT Z P,TABBARA M R,KAZEMI M T.Random particle models for fracture of aggregate or fiber composites[J].Journal of engineering mechanics,ASCE,1990,116(8):1686-1705.
[7]MOHAMED A R,HANSEN W.Micromechanical modeling of crack-aggregate interaction in concrete materials[J].Cement&concrete composites,1999,21(5/6):349-359.
[8]刘光廷,王宗敏.用随机骨料模型数值模拟混凝土材料的断裂[J].清华大学学报(自然科学版),1996,36(1):84-89.(LIU Guangting,WANG Zongmin.Numerical simulation study of fracture of concrete materials using random aggregate model[J].Journal of Tsinghua university(science&technology),1996,36(1):84-89(in Chinese)).
[9]彭一江,黎保琨,刘斌.碾压混凝土细观结构力学性能的数值模拟[J].水利学报,2001,32(6):19-22.(PENG Yijiang,LI Baokun,LIU Bin.Numerical simulation of meso-level mechanical properties of roller compacted concrete[J].Journal of hydraulic engineering,2001,32(6):19-22(in Chinese)).
[10]杜修力,金浏.基于随机多尺度力学模型的混凝土力学特性研究[J].工程力学,2011,28(增刊1):151-155.(DU Xiuli,JIN Liu.Mechanical property research on concrete based on random multi-scale mechanical model[J].Engineering mechanics,2011,28(S1):151-155(in Chinese)).
[11]SUN Z H,LI Z X,CHEN H T.Concurrent multi-scale modeling of structural behavior for response analysis of large civil infrastructure-modeling methodology and strategy[J].Chinese journal of computational mechanics,2009,26(6):886-892.
[12]胡俊,王杰,李兆瑞.基于随机骨料模型的EPS混凝土细观力学特性分析[J].应用力学学报,2017,34(4):802-808.(HU Jun,WANG Jie,LI Zhaorui.Analysis of microscopic mechanical properties of EPS concrete based on random aggregate model[J].Chinese journal of applied mechanics,2017,34(4):802-808(in Chinese)).
[13]雷光宇,韩霁昌,党发宁,等.细观混凝土数值模型对比分析研究[J].应用力学学报,2017,34(2):318-323.(LEI Guangyu,HANJichang,DANG Faning,et al.Comparative analysis of microscopic concrete numerical model[J].Chinese journal of applied mechanics,2017,34(2):318-323(in Chinese)).
[14]杜修力,金浏.考虑过渡区界面影响的混凝土宏观力学性质研究[J].工程力学,2012,29(12):72-79.(DU Xiuli,JIN Liu.Research on the influence of interfacial transition zone on the macro-mechanical properties of concrete[J].Engineering mechanics,2012,29(12):72-79(in Chinese)).
[15]马怀发,陈厚群,黎保琨.混凝土试件细观结构的数模拟[J].水利学报,2004,35(10):27-35.(MA Huaifa,CHEN Houqun,LI Baokun.Meso-structure numerical simulation of concrete specimens[J].Journal of hydraulic engineering,2004,35(10):27-35(in Chinese)).
[16]BA?ANT Z P,OZBOLT J.Nonlocal microplane model for fracture,damage,and size effect in structures[J].Journal of engineering mechanics,ASCE,1990,116(11):2485-2505.
[17]ZHUW C,TENG J G,TANG C A.Numerical simulation of strength envelope and fracture patterns of concrete under biaxial loading[J].Magazine of concrete research,2002,54(6):395-409.
[18]ZHU W C,TANG C A,WANG S Y.Numerical study on the influence of meso-mechanical properties on macroscopic fracture of concrete[J].Structural engineering and mechanics,2005,19(5):519-533.
[19]TANG C A,ZHANG Y B,LIANG Z Z,et al.Fracture spacing in layered materials and pattern transition from parallel to polygonal fracture[J].Physical review E,2006,73:056120.
[20]DOUGILL J W.Further consideration of a mathematical model for progressive fracture of a heterogeneous material[J].Magazine of concrete research,1971,23(74):5-10.
[21]BA?ANT Z P,PANULA L.Statistical stability effects in concrete failure[J].Journal of engineering mechanics,ASCE,1978,104(5):1195-1212.
[22]KANDARPA S,KIRKNER D J,SPENCER B F.Stochastic damage model for brittle material subjected to monotonic loading[J].Journal of engineering mechanics,1996,122(8):788-795.
[23]张劲,王庆扬,胡守营,等.ABAQUS混凝土损伤塑性模型参数验证[J].建筑结构,2008,38(8):127-130.(ZHANG Jin,WANGQingyang,HU Shouying,et al.Parameters verification of concrete damaged plastic model of ABAQUS[J].Building structure,2008,38(8):127-130(in Chinese)).
[2]杜修力,金浏.混凝土材料宏观力学特性分析的细观单元等效化模型[J].计算力学学报,2012,29(5):654-661.(DU Xiuli,JINLiu.Meso-element equivalent model for macro-scopic mechanical properties analysis of concrete materials[J].Chinese journal of computational mechanics,2012,29(5):654-661(in Chinese)).
[3]CUSATIS G,REZAKHANI R,ALNAGGAR M,et al.Multi-scale computational models for the simulation of concrete materials and structures[C]//Proceedings of EURO-C 2014 Conference.London,UK:Taylor&Francis Group,2014:23-38.
[4]SUN B,LI Z.Multi-scale modeling and trans-level simulation from material meso-damage to structural failure of reinforced concrete frame structures under seismic loading[J].Journal of computational science,2016,12:38-50.
[5]SCHLANGEN E,GARBOCAI E J.Fracture simulation of concrete using lattice models:computational aspects[J].Engineering fracture mechanics,1997,57(2/3):319-322.
[6]BAZANT Z P,TABBARA M R,KAZEMI M T.Random particle models for fracture of aggregate or fiber composites[J].Journal of engineering mechanics,ASCE,1990,116(8):1686-1705.
[7]MOHAMED A R,HANSEN W.Micromechanical modeling of crack-aggregate interaction in concrete materials[J].Cement&concrete composites,1999,21(5/6):349-359.
[8]刘光廷,王宗敏.用随机骨料模型数值模拟混凝土材料的断裂[J].清华大学学报(自然科学版),1996,36(1):84-89.(LIU Guangting,WANG Zongmin.Numerical simulation study of fracture of concrete materials using random aggregate model[J].Journal of Tsinghua university(science&technology),1996,36(1):84-89(in Chinese)).
[9]彭一江,黎保琨,刘斌.碾压混凝土细观结构力学性能的数值模拟[J].水利学报,2001,32(6):19-22.(PENG Yijiang,LI Baokun,LIU Bin.Numerical simulation of meso-level mechanical properties of roller compacted concrete[J].Journal of hydraulic engineering,2001,32(6):19-22(in Chinese)).
[10]杜修力,金浏.基于随机多尺度力学模型的混凝土力学特性研究[J].工程力学,2011,28(增刊1):151-155.(DU Xiuli,JIN Liu.Mechanical property research on concrete based on random multi-scale mechanical model[J].Engineering mechanics,2011,28(S1):151-155(in Chinese)).
[11]SUN Z H,LI Z X,CHEN H T.Concurrent multi-scale modeling of structural behavior for response analysis of large civil infrastructure-modeling methodology and strategy[J].Chinese journal of computational mechanics,2009,26(6):886-892.
[12]胡俊,王杰,李兆瑞.基于随机骨料模型的EPS混凝土细观力学特性分析[J].应用力学学报,2017,34(4):802-808.(HU Jun,WANG Jie,LI Zhaorui.Analysis of microscopic mechanical properties of EPS concrete based on random aggregate model[J].Chinese journal of applied mechanics,2017,34(4):802-808(in Chinese)).
[13]雷光宇,韩霁昌,党发宁,等.细观混凝土数值模型对比分析研究[J].应用力学学报,2017,34(2):318-323.(LEI Guangyu,HANJichang,DANG Faning,et al.Comparative analysis of microscopic concrete numerical model[J].Chinese journal of applied mechanics,2017,34(2):318-323(in Chinese)).
[14]杜修力,金浏.考虑过渡区界面影响的混凝土宏观力学性质研究[J].工程力学,2012,29(12):72-79.(DU Xiuli,JIN Liu.Research on the influence of interfacial transition zone on the macro-mechanical properties of concrete[J].Engineering mechanics,2012,29(12):72-79(in Chinese)).
[15]马怀发,陈厚群,黎保琨.混凝土试件细观结构的数模拟[J].水利学报,2004,35(10):27-35.(MA Huaifa,CHEN Houqun,LI Baokun.Meso-structure numerical simulation of concrete specimens[J].Journal of hydraulic engineering,2004,35(10):27-35(in Chinese)).
[16]BA?ANT Z P,OZBOLT J.Nonlocal microplane model for fracture,damage,and size effect in structures[J].Journal of engineering mechanics,ASCE,1990,116(11):2485-2505.
[17]ZHUW C,TENG J G,TANG C A.Numerical simulation of strength envelope and fracture patterns of concrete under biaxial loading[J].Magazine of concrete research,2002,54(6):395-409.
[18]ZHU W C,TANG C A,WANG S Y.Numerical study on the influence of meso-mechanical properties on macroscopic fracture of concrete[J].Structural engineering and mechanics,2005,19(5):519-533.
[19]TANG C A,ZHANG Y B,LIANG Z Z,et al.Fracture spacing in layered materials and pattern transition from parallel to polygonal fracture[J].Physical review E,2006,73:056120.
[20]DOUGILL J W.Further consideration of a mathematical model for progressive fracture of a heterogeneous material[J].Magazine of concrete research,1971,23(74):5-10.
[21]BA?ANT Z P,PANULA L.Statistical stability effects in concrete failure[J].Journal of engineering mechanics,ASCE,1978,104(5):1195-1212.
[22]KANDARPA S,KIRKNER D J,SPENCER B F.Stochastic damage model for brittle material subjected to monotonic loading[J].Journal of engineering mechanics,1996,122(8):788-795.
[23]张劲,王庆扬,胡守营,等.ABAQUS混凝土损伤塑性模型参数验证[J].建筑结构,2008,38(8):127-130.(ZHANG Jin,WANGQingyang,HU Shouying,et al.Parameters verification of concrete damaged plastic model of ABAQUS[J].Building structure,2008,38(8):127-130(in Chinese)).