混凝土骨料与水泥浆体间界面过渡区(ITZ)厚度虽小,却表现出较强的微观结构非均质性,并对混凝土弹性模量产生显著影响。本研究充分考虑ITZ的非均质特征,由水泥浆体与其中的孔隙形成等效基体,非均质ITZ与骨料形成等效颗粒,再由等效基体与等效颗粒形成混凝土等效均质体,基于细观夹杂理论提出了一种混凝土弹性模量预测的多相夹杂模型,模型预测结果与试验结果吻合较好。定量分析还表明:界面过渡区非均质性对混凝土弹性模量影响显著,ITZ非均质程度越高,混凝土弹性模量越低;弹性模量随界面过渡区厚度、水泥浆体孔隙率的增大而逐渐降低,随骨料含量的增大而增大。
Abstract
Despite small thickness, the interfacial transition zone (ITZ) between aggregate and cement paste has remarkable influence on the elastic modulus of concrete with its strong inhomogeneity in microstructure. In consideration of the inhomogeneity of ITZ, a multi-phase prediction model for the elastic modulus of concrete was proposed based on the meso-inclusion theory, in which the matrix phase containing voids and cement pastes was considered as the equivalent matrix, and the inclusion phase consisting of aggregate and inhomogeneous ITZ was considered as the spherical equivalent particles with different diameters, and finally an equivalent homogeneous concrete consisting of equivalent matrix and equivalent particles was formed. The predicted values of elastic modulus agreed well with Stock’s experimental results. In addition, quantitative analysis unveiled that the inhomogeneity of ITZ had a profound influence on elastic modulus of concrete: the higher inhomogeneity level of ITZ, the lower of elastic modulus. The elastic modulus of concrete also declined with the increases of ITZ thickness and the porosity of cement paste, while increased with the volume fraction of aggregates.
关键词
混凝土 /
弹性模量 /
界面过渡区(ITZ) /
非均质性 /
细观夹杂理论
Key words
concrete /
elastic modulus /
interfacial transition zone /
inhomogeneity /
meso-inclusion theory
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参考文献
[1] NILSEN A U, MONTEIRO P J M. Concrete: A Three Phase Material. Cement and Concrete Research, 1993, 23(1): 147-151.
[2] 肖诗云, 乔倩倩. 混凝土等效弹性模量细观影响因素.沈阳建筑大学学报(自然科学版), 2015, 31(4): 637-643.
[3] SUN Z H, GARBOCZI E J, SHAH S P. Modeling the Elastic Properties of Concrete Composites: Experiment, Differential Effective Medium Theory, and Numerical Simulation . Cement and Concrete Composites, 2007, 29(1): 22-28.
[4] LUTZ M P, ZIMMERMAN R W. Effect of the Interphase Zone on the Bulk Modulus of a Particulate Composite. Journal of Applied Mechanics, 1996, 63(4): 855-861.
[5] RAMESH G,SOTELINO E D,CHEN W F.Effect of Transition Zone on Elastic Moduli of Concrete Materials.Cement and Concrete Research,1996,26(4):611-622.
[6] SIMEONOV P, AHMAD S. Effect of Transition Zone on the Elastic Behavior of Cement-based Composites. Cement and Concrete Research, 1995, 25(1): 165-176.
[7] SCRIVENER K L, GARTNER E M. Microstructural Gradients in Cement Paste Around Aggregate Particles∥1987 MRS Fall Meeting—Symposium R—Bonding in Cementitious Composites, Volume: Materials Research Society Symposium Proceedings. Boston, Massachusetts, December 2-4, 1987: 77-85.
[8] MEHTA P K, MONTERIRO P J M. Concrete: Microstrcture, Properties, and Materials. New York: Mc Graw-Hill Education, 2013.
[9] EDWARD J, GARBOCZI, BENTZ D P. Analytical Formulas for Interfacial Transition Zone Properties. Advanced Cement Based Materials, 1997, 6(3/4): 99-108.
[10] NEUBAUER C M, JENNINGS H M, GARBOCZI E J. A Three-phase Model of the Elastic and Shrinkage Properties of Mortar. Advanced Cement Based Material, 1996, 4(1): 6-20.
[11] HASHIN H, MONTEIRO P J M. An Inverse Method to Determine the Elastic Properties of the Interphase Between the Aggregate and the Cement Paste. Cement and Concrete Research, 2002, 32(8): 1291-1300.
[12] 郑建军, 周欣竹, 姜 璐. 混凝土杨氏模量预测的三相复合球模型. 复合材料学报, 2005, 22(1) : 102-107.
[13] LI G Q, YI Z, SU S P. Four-phase Sphere Modelling of Effective Bulk Modulus of Concrete. Cement and Concrete Research, 1999, 29(6): 839-845.
[14] 李朝红, 徐光兴. 混凝土弹性模量预测的混合夹杂模型. 低温建筑技术, 2013(6): 11-13.
[15] 应宗权, 杜成斌. 考虑界面影响的混凝土弹性模量的数值预测. 工程力学, 2008, 25(8): 92-96.
[16] LEE K M, PARK J H. A Numerical Model for Elastic Modulus of Concrete Considering Interfacial Transition Zone. Cement and Concrete Research, 2008, 38(3): 396-402.
[17] 张 研, 韩 林. 细观力学基础. 北京:科学出版社, 2014.
[18] LUTZ M P, MONTEIRO P J M, ZIMMERMAN R W. Inhomogeneous Interfacial Transition Zone Model for the Elastic Moduli of Concrete. Cement and Concrete Research, 1997, 27(7): 1113-1122.
[19] CHRISTENSEN R M, LO K H. Solutions for Effective Shear Properties in Three Phase Sphere and Cylinder Models. Journal of the Mechanics and Physics of Solids, 1979, 27(4): 315-330.
[20] 李宗利, 邓朝莉, 张国辉.考虑骨料级配的混凝土有效弹性模量测模型. 水利学报,2016,47(4):575-581.
[21] STOCK A F, HANNANT D J, WILLIAMS R I T. The Effect of Aggregate Concentration upon the Strength and Modulus of Elasticity of Concrete. Magazine of Concrete Research, 1979, 31(109): 225-234.
基金
国家自然科学基金项目(51379178);
“十三五”国家重点研发计划资助项目(2017YFC0405101);
中央高校基本科研业务费专项资助项目(ZD2012015)