1. School of Civil Engineering, Lanzhou Jiaotong University, Lanzhou Gansu 730070, China;
2. School of Civil Engineering, Lanzhou Institute of Technology, Lanzhou Gansu 730050, China
Mechanical Analysis of Frost Heaving Damage of Closed Pore in Cement Mortar
LI Sheng1, WANG Qi-cai1, MA Li2, YU Ben-tian1, DENG Xiao1
1. School of Civil Engineering, Lanzhou Jiaotong University, Lanzhou Gansu 730070, China;
2. School of Civil Engineering, Lanzhou Institute of Technology, Lanzhou Gansu 730050, China
摘要Based on the thermodynamic equilibrium principle and elastic mechanics theory, the mechanical calculation of borehole wall stress under ice-formation pressure effect is carried out for the water saturation condition of cement mortar closed pore. The pore configuration cement mortar can be approximated as spherical or cylindrical. A micro-mechanics calculation model is established. The borehole wall inner and outer surface tensile stress is deduced in different pores under the ice-formation pressure effect. For the cement mortar component, the borehole wall stress of spherical and cylindrical pores is calculated at -20℃. Results show that the spherical pore is more constant than the cylindrical pore under the same ice-formation pressure effect. The borehole wall tensile stress of the spherical pore is much smaller than that of the cylindrical one, which is advantageous in frost resistant. Finally, according to the theoretic calculation method, the pore configuration, radius, borehole thickness and freezing temperature are the main factors in borehole wall tensile stress, as shown by the parameter analysis. Trying to useful practice in freezing and thawing destruction mechanisms of concrete in cement mortar, it can contribute to concrete durability design theories in bridge engineering.
Abstract:Based on the thermodynamic equilibrium principle and elastic mechanics theory, the mechanical calculation of borehole wall stress under ice-formation pressure effect is carried out for the water saturation condition of cement mortar closed pore. The pore configuration cement mortar can be approximated as spherical or cylindrical. A micro-mechanics calculation model is established. The borehole wall inner and outer surface tensile stress is deduced in different pores under the ice-formation pressure effect. For the cement mortar component, the borehole wall stress of spherical and cylindrical pores is calculated at -20℃. Results show that the spherical pore is more constant than the cylindrical pore under the same ice-formation pressure effect. The borehole wall tensile stress of the spherical pore is much smaller than that of the cylindrical one, which is advantageous in frost resistant. Finally, according to the theoretic calculation method, the pore configuration, radius, borehole thickness and freezing temperature are the main factors in borehole wall tensile stress, as shown by the parameter analysis. Trying to useful practice in freezing and thawing destruction mechanisms of concrete in cement mortar, it can contribute to concrete durability design theories in bridge engineering.
基金资助:Supported by the National Natural Science Foundation of China (No.51268032); the Program for Changjiang Scholars and Innovative Research Team in University of China (No.IRT1139)
通讯作者:
LI Sheng, E-mail:ligwin@126.com
E-mail: ligwin@126.com
引用本文:
李盛, 王起才, 马莉, 于本田, 邓晓. 水泥砂浆封闭孔隙冻胀破坏问题的力学分析[J]. Journal of Highway and Transportation Research and Development, 2015, 9(3): 55-62.
LI Sheng, WANG Qi-cai, MA Li, YU Ben-tian, DENG Xiao. Mechanical Analysis of Frost Heaving Damage of Closed Pore in Cement Mortar. Journal of Highway and Transportation Research and Development, 2015, 9(3): 55-62.
[1] GUO Cheng-ju. The Mechanism of Concrete Freezing Injury[J]. China Concrete and Cement Products,1982(3):9-19.(in Chinese)
[2] POWERS T C,HELMUTH R A. Theory of Volume Change in Hardened Portland Cement Paste during Freezing[C]//Proceedings of the Thirty-second Annual Meeting of the Highway Research Board. Washington, D.C.:Transportation Research Board,1953:285-297.
[3] POWERS T C,WILLIS T F. The Air Requirement of Frost Resistant Concrete[C]//Proceedings of the Twenty-Ninth Annual Meeting of the Highway Research Board. Washington, D.C.:Transportation Research Board,1950:184-211.
[4] POWERS T C. A Working Hypothesis for Further Studies of Frost Resistance of Concrete[J]. Journal of the American Concrete Institute,1945,41(4):245-272.
[5] SETZER M J. Basis of Testing the Freeze-thaw Resistance:Surface and Internal Deterioration[C]//Frost Resistance of Concrete. London:[s.n.], 1997:157-173.
[6] SETZER M J. Micro-ice-lens Formation in Porous Solid[J]. Journal of Colloid and Interface Science,2001,243(1):193-201.
[7] SCHERER G W. Crystallization in Pores[J]. Cement and Concrete Research,1999,29(8):1347-1358.
[8] VALENZA Ⅱ J J,SCHERER G W. A Review of Salt Scaling:Ⅱ. Mechanisms[J]. Cement and Concrete Research, 2007,37(7):1022-1034.
[9] LIU Xi-la, TANG Guang-pu. Research on Prediction Method of Concrete Freeze-thaw Durability under Field Environments[J]. Chinese Journal of Rock Mechanics and Engineering,2007,26(12):2412-2419. (in Chinese)
[10] CAI Hao. Prediction Model of Concrete Freeze-thaw Durability[D]. Beijing:Tsinghua University,1998. (in Chinese)
[11] SHANG Huai-shuai,OU Jin-ping,SONG Yu-pu. Analysis on Reliability and Freeze-thaw Damage Theory of Concrete[J]. Engineering Mechanics,2011,28(1):70-74. (in Chinese)
[12] GONG Ni-na. Finite Element Analysis for Concrete Freeze-thaw Damage[D]. Beijing:Tsinghua University,2005. (in Chinese)
[13] GUO Li-xia,LUO Guo-jie,ZHONG Ling,et al. Simulation Study on Freeze-thaw Damage of Hydraulic Concrete in Construction Period[J]. Transactions of the Chinese Society of Agricultural Engineering,2012,28(18):82-87. (in Chinese)
[14] QIN Li-kun,SONG Yu-pu,CHEN Hao-ran,et al. Mechanical Property and Failure Criterion of Concrete under Biaxial Tension and Compression after Freeze-thaw Cycles[J]. Chinese Journal of Rock Mechanics and Engineering,2005,24(10):1740-1745. (in Chinese)
[15] ZHANG Zhong,SONG Yu-pu,JIA Zhi-rong.Experimental Study of Biaxial Equivalent Uniaxial Strain Constitutive Model for Ordinary Concrete after Freeze-thaw Cycling[J]. China Civil Engineering Journal,2009,42(12):105-111. (in Chinese)
[16] JI Xiao-dong, SONG Yu-pu, LIU Jian. Study on Frost Damage Constitutive Model of Concrete[J]. Chinese Journal of Computational Mechanics,2011,28(3):461-467. (in Chinese)
[17] SHANG Huai-shuai,YANG Lu-sheng. Constitutive Model of Damage of Concrete under Biaxial Compression[J]. Journal of Central South University:Science and Technology Edition,2013,44(1):340-344. (in Chinese)
[18] CAO Da-fu,FU Li-zhi,YANG Zhong-wei,et al. Study on Constitutive Relations of Compressed Concrete Subjected to Action of Freezing-thawing Cycles[J]. Journal of Building Materials,2013,16(1):17-23. (in Chinese)
[19] LIAN Hui-zhen,TONG Liang, CHEN En-yi. Research Basic of the Phase of Building Materials[M]. Beijing:Publishing House of Tsinghua University,1996. (in Chinese)
[20] MEHTA P K, BURROWS R W. Building Durable Structures in the 21st Century[J]. Concrete International,2001,23(3):57-63.
[21] SHAH S P,WANG K,WEISS W J. Mixture Proportioning for Durable Concrete:Challenges and Changes[J]. Concrete International,2000,22(9):73-78.
[22] YU Xue-mei,TANG Li-qiang,WANG Kun. Simulating the mechanics of Damage to Geological Materials with Spherical Cavity Explosions under Internal Pressure[J]. Journal of Harbin Engineering University,2010,31(8):1034-1038. (in Chinese)
[23] YU Xue-mei. Mechanical Analysis on Spherical Cavity Expansion Problem in Geomaterials[D]. Harbin:Harbin Engineering University,2010. (in Chinese)
[24] WU Guo-hui,WANG Yong,ZOU Guang-ping,et al. Dynamic Expansion of the Spherical Cavity in the Elastic Perfectly-Plastic Pressure Sensitive Material[J]. Chinese Journal of Applied Mechanics,2012,29(5):508-511. (in Chinese)
[25] WU Zhong-wei,LIAN Hui-zhen. High Performance Concrete[M]. Beijing:China Railway Publishing House,1999. (in Chinese)
[26] ZHANG Shi-ping,DENG Min,TANG Ming-shu. Advance in Research on Damagement of Concrete Due to Freeze-thaw Cycles[J]. Journal of Materials Science and Engineering,2008,26(6):990-994. (in Chinese)
[27] LI Tian-yuan. Try to Talk About the Mechanism of Concrete Freezing Injury:The Role of Hydrostatic Pressure and Osmotic Pressure[J]. China Concrete and Cement Products,1989(5):8-11. (in Chinese)
[28] CUI Li-li,LIU Yi-min. Physical Chemistry[M]. Beijing:Science Press,2011. (in Chinese)
[29] ZHOU Z Y,MIHASHI H. Micromechanics Model to Describe Strain Behavior of Concrete in Freezing Process[J]. Journal of Materials in Civil Engineering,2008,20(1):46-53.
[30] XU Zhi-lun. Elasticity[M]. Beijing:Higher Education Press,2006. (in Chinese)
[1]
常柱刚, 王林凯, 夏飞龙. 基于CV NewMark-b法桥梁风致振动FSI数值模拟[J]. Journal of Highway and Transportation Research and Development, 2019, 13(2): 28-37.