单轴荷载作用下混凝土强度代表体尺寸定量研究
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摘要
为从细观层次研究混凝土宏观力学性能,提出了混凝土强度代表体定义,建立了基于统计特征的混凝土强度代表体尺寸确定方法.采用三维随机缺陷界面弹簧元模型,给出了确定单轴加载下的混凝土强度代表体尺寸的数值方法.分析了不同数值样本取值对混凝土单轴受拉及单轴抗压强度离散性的影响规律,以及尺寸试件变化对混凝土拉伸及受压强度仿真结果稳定性的影响规律.研究结果表明,在单轴拉伸荷载和单轴压缩荷载作用下,混凝土强度代表体尺寸分别为最大骨料粒径的5.0倍和6.5倍,与基于细观结构统计特征确定的混凝土几何代表体尺寸进行对比,证明了所提方法的合理性.
Based on meso-numerical simulation technology,a new method was developed for the determination of the RVE( representative volume element) size of concrete. The uniaxial tensile and compressive strength of concrete specimens with various RVE size were calculated by means of the interfacial spring element model.Then the RVE size was determined quantitatively by analyzing the discreteness of concrete strength and the increase trend of concrete strength. Results showed that the RVE size for concrete uniaxial tensile and compressive strength were 5 times and 6. 5 times of maximum aggregate diameter of concrete respectively,which were close to the RVE sizes for concrete micro-structure. This study could enrich the numerical methods for strength analysis of concrete and lay a foundation for multi-scale analysis of concrete.
Based on meso-numerical simulation technology,a new method was developed for the determination of the RVE( representative volume element) size of concrete. The uniaxial tensile and compressive strength of concrete specimens with various RVE size were calculated by means of the interfacial spring element model.Then the RVE size was determined quantitatively by analyzing the discreteness of concrete strength and the increase trend of concrete strength. Results showed that the RVE size for concrete uniaxial tensile and compressive strength were 5 times and 6. 5 times of maximum aggregate diameter of concrete respectively,which were close to the RVE sizes for concrete micro-structure. This study could enrich the numerical methods for strength analysis of concrete and lay a foundation for multi-scale analysis of concrete.
引文
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[2]PENSEE V,HE Q C.Generalized self-consistent estimation of the apparent isotropic elastic moduli and minimum representative volume element size of heterogeneous media[J].International journal of solids and structures,2007,44(7/8):2225-2243.
[3]琚宏昌,陈玲玲,张璇.估计复合材料有效弹性常数界限的综合方法[J].郑州大学学报(工学版),2012,33(3):33-35,39.
[4]程站起,夏乃凯.考虑界面影响的钢纤维混凝土细观力学等效性能研究[J].郑州大学学报(工学版),2014,35(1):104-107.
[5]REN Z Y,ZHENG Q S.A Quantitative study of minimum sizes of representative volume elements of cubic polycrystals:numerical experiments[J].Journal of the mechanics and physics of solids,2002,50(4):881-893.
[6]STAPLETON S E,APPEL L,SIMON J,et al.Representative volume element for parallel fiber bundles:model and size convergence[J].Composites part a applied science&manufacturing,2016,87:170-185.
[7]XU X F,CHEN X,SHEN L.A Green-function-based multiscale method for uncertainty quantification of finite body random heterogeneous materials[J].Computers and structures,2009,87:1416-1426.
[8]GITMAN I M,GITMAN M B,ASKES H.Quantification of stochastically stable representative volumes for random heterogeneous materials[J].Archive of applied mechanics,2006,75:79-92.
[9]STROEVEN M,ASKES H,SLUYS L J.Numerical determination of representative volumes for granular materials[J].Computer methods in applied mechanics and engineering,2004,193(30/32):3221-3238.
[10]MIRKHALAF S M,PIRES F M A,SIMOES R.Determination of the size of the Representative Volume Element(RVE)for the simulation of heterogeneous polymers at finite strains[J].Finite elements in analysis&design,2016,119:30-44.
[11]SCHNEIDER M.The sequential addition and migration method to generate representative volume elements for the homogenization of short fiber reinforced plastics[J].Computational mechanics,2017,59(2):1-17.
[12]ROMERO P,MASAD E.Relationship between the representative volume element and mechanical properties of asphalt concrete[J].Journal of materials in civil engineering,2001,13(1):77-84.
[13]GRAHAM S,YANG N.Representative volumes of materials based on microstructural statistics[J].Scripta materialia,2003,48:269-274.
[14]AL-RAOUSH R,PAPADOPOULOS A.Representative elementary volume analysis of porous media using Xray computed tomography[J].Powder technology,2010,200(1/2):69-77.
[15]FSSL J,LACKNER R.“Homogenization of strength”-a numerical limit analysis approach[J].Computational methods in applied sciences,2009,14:183-201.
[16]NGUYEN V P,VALLS D L,STROEVEN M,et al.On the existence of representative volumes for softening quasi-brittle materials-a failure zone averaging scheme[J].Computer methods in applied mechanics and engineering,2010,199(45/48):3028-3038.
[17]王娟,李庆斌,卿龙邦,等.基于细观结构统计特征的混凝土几何代表体尺寸研究[J].工程力学,2012,29(12):1-6.
[18]王娟,李庆斌,卿龙邦,等.混凝土单轴抗压强度三维细观数值仿真[J].工程力学,2014,31(3):39-44.
[19]李伟政.二轴拉压应力全组合下砼的强度及变形试验研究[D].北京:清华大学土木水利学院,1989.
[20]杨木秋,林泓.混凝土单轴受压受拉应力—应变全曲线的试验研究[J].水利学报,1992(6):60-66.
[21]SUN C T,VAIDYA R S.Prediction of composite properties from a representative volume element[J].Composites science and technology,1996,56(2):171-179.
[22]党发宁,韩文涛,田威.混凝土单轴压缩破坏过程的三维细观数值模拟[J].西安理工大学学报,2006,22(2):113-118.