混凝土单轴动态拉伸强度随机性的统计特性分析

PDF(3233 KB)

振动与冲击 ›› 2016, Vol. 35 ›› Issue (24) : 6-13.

论文

金浏1,2，韩亚强1，杜修力1

作者信息 +

Statistical investigation on the randomness of uniaxial dynamic tensile strengths of concrete

Jin Liu1, 2, Han Yaqiang1, Du Xiuli1

Author information +

文章历史 +

摘要

混凝土拉伸破坏行为是混凝土试件及结构力学行为的重要组成部分，其与加载速率密切关联。针对混凝土材料静、动态拉伸强度的随机性和离散性，本文探讨了骨料分布形式的影响规律。从细观角度出发，假定混凝土是由骨料颗粒、砂浆基质及界面过渡区组成的三相复合材料，考虑各相材料动态加载下力学特性的应变率效应，建立了混凝土动态力学行为研究的细观尺度力学模型与方法。以双边缺口混凝土试件为例，对5组不同应变率下64个具有不同骨料分布形式的混凝土试件的单轴动态拉伸力学行为进行了数值试验。基于概率统计分析理论，对不同应变率下混凝土动态抗拉强度的离散性进行了统计分析，包括均值、方差及分布形式等概率统计特性。研究表明：混凝土动态抗拉强度服从双参数Weibull分布；随着应变率的增大，混凝土抗拉强度离散性逐渐减小。

Abstract

Tensile failure behavior of concrete invariably dominates the behavior of concrete specimens and structural elements and it is strongly affected by loading rate. Aiming at discreteness and randomness of concrete static/dynamic tensile strength, the influence of aggregate spatial distribution pattern has been discussed. Taking account of the strain rate effect of meso-scale components under dynamic loading, the meso-scale mechanical model and method were established, in which the concrete was assumed to be composed of aggregate particles, mortar matrix and the interfacial transition zones between the former two phases. Furthermore, the uniaxial dynamic tensile mechanical behavior of 64 sets of concrete with different aggregate distribution patterns was studied numerically, and the discreteness of concrete strength was analyzed statistically. The results indicate that: 1) the tensile strengths of concrete with different aggregate distribution obey the Weibull distribution; 2) with the increase of strain rate, the discreteness of the concrete tensile strength decrease gradually.

导出引用

金浏1,2，韩亚强1，杜修力1. 混凝土单轴动态拉伸强度随机性的统计特性分析[J]. 振动与冲击, 2016, 35(24): 6-13

Jin Liu1, 2, Han Yaqiang1, Du Xiuli1. Statistical investigation on the randomness of uniaxial dynamic tensile strengths of concrete[J]. Journal of Vibration and Shock, 2016, 35(24): 6-13

参考文献

[1] 杜修力, 韩亚强, 金浏, 张仁波. 骨料空间分布对混凝土压缩强度及软化曲线影响统计分析[J]. 水利学报, 2015, 46(6): 631-639. Du XL, Han YQ, Jin L, Zhang RB. Statistical investigation on effects of aggregate distribution on concrete compressive strength and the descending part of stress-strain curve [J]. Journal of hydraulic engineering, 2015, 46(6):631-639.
[2] Wang XF, Yang ZJ, Yates JR, Jivkov AP, Zhang CH. Monte Carlo simulations of mesoscale fracture modelling of concrete with random aggregates and pores [J]. Construction and Building Materials, 2015, 75: 35-45.
[3] 窦远明, 刘会东, 孙吉书. 动态荷载作用下混凝土受拉性质的研究[J]. 混凝土, 2012, (2): 1-3. Dou YM, Liu HD, Sun JS. Study on the tensile properties of the concrete under dynamic load [J]. Concrete, 2012, (2): 1-3.
[4] 孙吉书, 窦远明, 周戟, 刘会东. 应变速率对混凝土动态抗拉特性的影响研究[J]. 混凝土, 2012, (6): 4-6. Sun JS, Dou YM, Zhou J, Liu HD. Study on effect of strain rates on the dynamic tensile properties of concrete [J]. Concrete, 2012, (6): 4-6.
[5] Unger J F, Eckardt S. Multiscale modeling of concrete [J]. Archives Computational Methods in Engineering, 2011, 18: 341-393.
[6] 彭勃, 陈志源. 缺口对混凝土单轴直接拉伸应力—应变全曲线的影响[J]. 建筑材料学报, 2003, 6(2): 142-146. Peng B, Chen ZY. Influence of specimen notches on the test results of concrete in uniaxial direct tension [J]. Journal of Building Materials, 2003, 6(2): 142-146.
[7] Zhou XQ, Hao H. Modelling of compressive behavior of concrete-like materials at high strain rate [J]. International Journal of Solids and Structures, 2008, 45(17): 4648- 4661.
[8] 杜修力, 金浏. 界面过渡区对混凝土动态力学行为影响分析 [J]. 地震工程与工程振动, 2015, 35(1): 11-19. Du XL, Jin L. Effect of the interfacial transition zone on the dynamic macroscopic mechanical behavior of concrete [J]. Earthquake engineering and engineering dynamics, 2015, 35(1): 11-19.
[9] Zhou XQ, Hao H. Mesoscale modeling of concrete tensile failure mechanism at high strain rates [J]. Computers and Structures, 2008, 86(21/22): 2013-2026.
[10] Snozzi L, Caballero A, Molinari JF. Influence of the meso-structure in dynamic fracture simulation of concrete under tensile loading [J]. Cement and Concrete Research, 2011, 41(11): 1130-1142.
[11] Grote DL, Park SW, Zhou M. Dynamic behavior of concrete at high strain-rates and pressures: I. Experimental characterization [J]. International Journal of Impact Engineering, 2001, 25(9): 869-886.
[12] Lubliner J, Oliver J, Oller S, Ońate E. A plastic-damage model for concrete [J]. International Journal of Solids and Structures, 1989, 25(3): 299-326.
[13] Lee J, Fenves GL. Plastic-damage model for cyclic loading of concrete structures [J]. ASCE Journal of Engineering Mechanics, 1998, 124(8): 892-900.
[14] 金浏, 杜修力. 加载速率及其突变对混凝土压缩破坏影响的数值研究[J]. 振动与冲击, 2014, 33(19): 187-193. Jin L, Du XL. Effects of loading rate and its sudden change on concrete compressive failure [J]. Journal of vibration and shock, 2014, 33(19): 187-193.
[15] Du Xiuli, Jin Liu, Ma Guowei. Numerical simulation of dynamic tensile failure of concrete at meso-scale [J]. International Journal of Impact Engineering, 2014, 66(1): 5-17.
[16] Huang YJ, Yang Zhenjun, Ren Wenyuan, Liu Guohua, Zhang Chuanzeng. 3D meso-scale fracture modelling and validation of concrete based on in-situ X-ray computed tomography images using damage plasticity model [J]. International Journal of Solids and Structures, 2015, 67/68: 340-352.
[17] Du Xiuli, Jin Liu, Zhang Renbo. Modeling the cracking of cover concrete due to non-uniform corrosion of reinforcement [J]. Corrosion Science, 2014, 89: 189-202.
[18] 杜修力, 金浏. 混凝土材料细观单元弹模非均匀统计特性研究[J]. 工程力学, 2012, 29(10): 106-115. Du XL, Jin L. Research on the heterogeneous statistical properties of elastic modulus of a concrete meso-scale unit [J]. Engineering mechanics, 2012, 29(10): 106-115.