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细观等效理论预测再生混凝土宏观力学参数

陈海玉 徐福卫

陈海玉,徐福卫. 细观等效理论预测再生混凝土宏观力学参数 [J]. 应用数学和力学,2022,43(07):1-11 doi: 10.21656/1000-0887.420079
引用本文: 陈海玉,徐福卫. 细观等效理论预测再生混凝土宏观力学参数 [J]. 应用数学和力学,2022,43(07):1-11 doi: 10.21656/1000-0887.420079
Haiyu CHEN, Fuwei XU. Mesoscopic Equivalence Theory Predicts the Macroscopic Mechanical Properties of Recycled Aggregate Concrete[J]. Applied Mathematics and Mechanics. doi: 10.21656/1000-0887.420079
Citation: Haiyu CHEN, Fuwei XU. Mesoscopic Equivalence Theory Predicts the Macroscopic Mechanical Properties of Recycled Aggregate Concrete[J]. Applied Mathematics and Mechanics. doi: 10.21656/1000-0887.420079

细观等效理论预测再生混凝土宏观力学参数

doi: 10.21656/1000-0887.420079
基金项目: 湖北省教育厅中青年科学技术研究计划指导性项目(B2021214)
详细信息
    作者简介:

    陈海玉(1980—),女,讲师,硕士(E-mail:49633110@qq.com

    徐福卫(1976—),男,教授,硕士(通讯作者. E-mail:10916@hbuas.edu.cn

  • 中图分类号: TU528.1; O341

Mesoscopic Equivalence Theory Predicts the Macroscopic Mechanical Properties of Recycled Aggregate Concrete

  • 摘要: 预测分析再生混凝土各组分对再生混凝土宏观力学参数的影响是开展再生混凝土基本力学性能的一种方式。为了分析再生混凝土各组分对再生混凝土宏观力学参数的影响,根据再生混凝土的细观结构组成,建立了细观等效模型,利用扭转变形、细观夹杂理论、弹性等效思想和M-T模型方法,推导了由原生骨料、老界面层、老水泥砂浆、新界面层和新水泥砂浆等组成的再生混凝土的宏观力学参数预测模型。预测结果表明,随着再生骨料的取代率增加,水泥砂浆的含量不断增加,再生混凝土孔隙率也随之增大,导致再生混凝土的Poisson比随之增大,弹性模量、剪切模量和体积模量不断降低。模型的预测结果能较好地反映了再生混凝土宏观力学参数随再生骨料取代率的增加不断变化的这一趋势,也为再生混凝土宏观力学参数的预测提供了一条简单实用的新方法,有利于再生混凝土基本力学性能的研究分析。
  • 图  1  界面过渡区空心圆柱等效模型

    Figure  1.  Equivalent model of hollow cylinder in interface transition zone

    图  2  界面过渡区均化等效示意图

    Figure  2.  Homogenized equivalent schematic diagram of interface transition zone

    图  3  骨料实心圆柱等效模型

    Figure  3.  Equivalent model of solid cylinder of recycled aggregate

    图  4  多孔水泥砂浆简化模型

    Figure  4.  Simplified model of porous cement mortar

    图  5  空心球模型图

    Figure  5.  Hollow ball model

    图  6  微单元的应力状态

    Figure  6.  Stress state of microelement

    图  7  再生混凝土空心圆柱等效模型:(a)空心圆柱模型;(b)等效模型

    Figure  7.  Equivalent model of recycled concrete hollow cylinder: (a)the hollow cylinder model; (b)the equivalent model

    图  8  再生骨料取代率对再生混凝土孔隙率的影响

    Figure  8.  Effect of replacement rate of recycled aggregate on porosity of recycled aggregate concrete

    图  9  等效弹性模量的预测结果与相关文献数据对比情况

    Figure  9.  Prediction results of effective elastic modulus and experimental results of relevant literatures

    图  10  等效剪切模量的预测结果与相关文献数据对比情况

    Figure  10.  Prediction results of effective shear modulus and experimental results of relevant literature

    图  11  孔隙率对再生混凝土等效Poisson比的影响

    Figure  11.  Effect of porosity on effectivePoisson's ratio of recycled aggregate concrete

    图  12  孔隙率对再生混凝土等效剪切模量和体积模量的影响

    Figure  12.  Effect of porosity on effective shear modulus and volume modulus of recycled aggregate concrete

    表  1  再生混凝土各组分材料参数表

    Table  1.   Material parameters of recycled aggregate concrete

    materialselastic modulus ERAC/GPaPoisson’s ratio μRACshear modulus
    GRAC/GPa
    natural aggregate700.1630.17
    old interface100.24.17
    old cement mortar200.228.20
    new interface120.25.00
    new cement mortar230.229.43
    下载: 导出CSV
  • [1] 李佳彬, 肖建庄, 孙振平. 再生粗骨料特性及其对再生混凝土性能的影响[J]. 建筑材料学报, 2004, 7(4): 390-395. (LI Jiabin, XIAO Jianzhuang, SUN Zhenping. Properties of recycled coarse aggregate and its influence on recycled concrete[J]. Journal of Building Materials, 2004, 7(4): 390-395.(in Chinese) doi: 10.3969/j.issn.1007-9629.2004.04.006
    [2] 李冬, 金浏, 杜修力, 等. 骨料级配对二维模型混凝土单轴抗拉强度影响的理论研究[J]. 工程力学, 2017, 34(6): 64-72. (LI Dong, JIN Liu, DU Xiuli, et al. A theoretical study on the influence of aggregate gradation on the tensile strength of 2-dimensional model concrete[J]. Engineering Mechanics, 2017, 34(6): 64-72.(in Chinese)
    [3] 王耀, 赵华玮, 胥民尧, 等. 基于基面力概念的不同再生骨料取代率混凝土细观损伤研究[J]. 混凝土, 2018(7): 76-80. (WANG Yao, ZHAO Huawei, XU Minyao, et al. Research on mesoscopic damage of concrete with different recycled aggregate replacement ratios based on base force element method[J]. Concrete, 2018(7): 76-80.(in Chinese) doi: 10.3969/j.issn.1002-3550.2018.07.020
    [4] 胡敏萍. 不同取代率再生粗骨料混凝土的力学性能[J]. 混凝土, 2007(2): 52-54. (HU Minping. Mechanical properties of concrete prepared with different recycled coarse aggregates replacement rate[J]. Concrete, 2007(2): 52-54.(in Chinese) doi: 10.3969/j.issn.1002-3550.2007.02.016
    [5] 宋灿, 陈爱玖. 再生粗骨料对再生混凝土基本性能的影响[J]. 煤炭技术, 2011, 30(6): 159-161. (SONG Can, CHEN Aijiu. Effect of recycled coarse aggregate on fundamental propertied of recycled concrete[J]. Coal Technology, 2011, 30(6): 159-161.(in Chinese)
    [6] XIAO J, LI W, CORR D J, et al. Simulation study on the stress distribution in modeled recycled aggregate concrete under uniaxial compression[J]. Journal of Materials in Civil Engineering, 2013, 25(4): 504-518. doi: 10.1061/(ASCE)MT.1943-5533.0000598
    [7] LASERNA S, MONTERO J. Influence of natural aggregates typology on recycled concrete strength properties[J]. Construction and Building Materials, 2016, 115: 78-86. doi: 10.1016/j.conbuildmat.2016.04.037
    [8] HE A, CAI J, CHEN Q J, et al. Axial compressive behaviour of steel-jacket retrofitted RC columns with recycled aggregate concrete[J]. Construction and Building Materials, 2017, 141: 501-516. doi: 10.1016/j.conbuildmat.2017.03.013
    [9] 霍洪媛, 范程程, 陈爱玖. 不同强度等级的再生骨料对再生混凝土基本力学性能影响[J]. 混凝土, 2017(2): 60-62,65. (HUO Hongyuan, FAN Chengcheng, CHEN Aijiu. Influence of the recycled aggregate with different strength on recycled concrete[J]. Concrete, 2017(2): 60-62,65.(in Chinese) doi: 10.3969/j.issn.1002-3550.2017.02.016
    [10] 肖建庄, 刘琼, 李文贵, 等. 再生混凝土细微观结构和破坏机理研究[J]. 青岛理工大学学报, 2009, 30(4): 24-30. (XIAO Jianzhuang, LIU Qiong, LI Wengui, et al. On the micro- and meso-structure and failure mechanism of recycled concrete[J]. Journal of Qingdao Technological University, 2009, 30(4): 24-30.(in Chinese) doi: 10.3969/j.issn.1673-4602.2009.04.006
    [11] CHRISTENSEN R M, LO K H. Solutions for effective shear properties in three phase sphere and cylinder models[J]. Journal of the Mechanics and Physics of Solids, 1979, 27(4): 315-330. doi: 10.1016/0022-5096(79)90032-2
    [12] LEE K J, WESTMANN R A. Elastic properties of hollow-sphere-reinforced composites[J]. Journal of Composite Materials, 1970, 4(2): 242-252. doi: 10.1177/002199837000400209
    [13] VOIGT W. Ueber die beziehung zwischen den beiden elasticitätsconstanten isotroper körper[J]. Annalen der Physik, 1988, 274(12): 573-587.
    [14] REUSS A. Berechnung der fliessgrenze von Mischkristallen auf grund der plastizitatsbedingung für einkristalle[J]. ZAMM Journal of Applied Mathematics & Mechanics Ztschrift fur Angewandte Mathematik und Mechanik, 1928, 9: 49-58.
    [15] HILL R. A self-consistent mechanics of composite materials[J]. Journal of the Mechanics and Physics of Solids, 1965, 13(4): 213-222. doi: 10.1016/0022-5096(65)90010-4
    [16] MORI T, TANAKA K. Average stress in the matrix and average elastic energy of materials with misfitting inclusions[J]. Acta Metallurgica, 1973, 21(5): 571-574. doi: 10.1016/0001-6160(73)90064-3
    [17] ZHENG Q S, DU D X. An explicit and universally applicable estimate for the effective properties of multiphase composites which accounts for inclusion distribution[J]. Journal of the Mechanics and Physics of Solids, 2001, 49(11): 2765-2788. doi: 10.1016/S0022-5096(01)00078-3
    [18] NI Y, CHIANG M. Prediction of elastic properties of heterogeneous materials with complex microstructures[J]. Journal of the Mechanics and Physics of Solids, 2007, 55: 517-532. doi: 10.1016/j.jmps.2006.09.001
    [19] HUANG J S, GIBSON L J. Elastic moduli of a composite of hollow spheres in a matrix[J]. Journal of the Mechanics and Physics of Solids, 1993, 41(1): 55-75. doi: 10.1016/0022-5096(93)90063-L
    [20] PAUL B. Prediction of elastic constants of multiphase materials[J]. Transactions of the AIME, 1959, 218: 1-19.
    [21] ZIMMERMAN R W, KING M S, MOMTERIO P J M. The elastic modulus of mortar as a porous granular material[J]. Cement & Concrete Research, 1986, 16(2): 239-245.
    [22] YAMAN I O, AKUAN H M, HEARN A. Active and non-active porosity in concrete part Ⅱ: evaluation of existing models[J]. Materials and Structures, 2002, 35(2): 110-116. doi: 10.1007/BF02482110
    [23] SANAHUJA J, DORMIRUC M, CHANVILLARD G. Modelling elasticity of a hydrating cement paste[J]. Cement & Concrete Research, 2007, 37(10): 1427-1439.
    [24] 李天一, 章青, 夏晓舟, 等. 考虑混凝土材料非均质特性的近场动力学模型[J]. 应用数学和力学, 2018, 39(8): 913-924. (LI Tianyi, ZHANG Qing, XIA Xiaozhou, et al. A peridynamic model for heterogeneous concrete materials[J]. Applied Mathematics and Mechanics, 2018, 39(8): 913-924.(in Chinese)
    [25] 陈青青, 张煜航, 张杰, 等. 含孔隙混凝土二维细观建模方法研究[J]. 应用数学和力学, 2020, 41(2): 182-194. (CHEN Qingqing, ZHANG Yuhang, ZHANG Jie, et al. Study on a 2D mesoscopic modeling method for concrete with voids[J]. Applied Mathematics and Mechanics, 2020, 41(2): 182-194.(in Chinese)
    [26] WALRAVEN J C, REINHARDT H W. Theory and experiments on the mechanical behaviour of cracks in plain and reinforced concrete subjected to shear loading[J]. HERON, 1991, 26(1A): 26-35.
    [27] 张金喜, 张建华, 邬长森. 再生混凝土性能和孔结构的研究[J]. 建筑材料学报, 2006, 9(2): 142-147. (ZHANG Jinxi, ZHANG Jianhua, WU Changsen. Study on properties and pore structure of recycled concrete[J]. Journal of Building Material, 2006, 9(2): 142-147.(in Chinese) doi: 10.3969/j.issn.1007-9629.2006.02.003
    [28] 张剑波, 吴勇生, 孙可伟, 等. 再生骨料混凝土孔隙结构的试验研究[J]. 硅酸盐通报, 2011, 30(1): 239-244. (ZHANG Jianbo, WU Yongsheng, SUN Kewei, et al. Experiment and study on pore structure of recycled aggregate concrete[J]. Bulletin of the Chinese Ceramic Society, 2011, 30(1): 239-244.(in Chinese)
    [29] 余波, 刘才勇, 杨绿峰. 再生粗骨料混凝土的孔隙率计算模型[J]. 混凝土, 2017(11): 31-34. (YU Bo, LIU Caiyong, YANG Lüfeng. Computing model for porosity of recycled coarse aggregate concrete[J]. Concrete, 2017(11): 31-34.(in Chinese) doi: 10.3969/j.issn.1002-3550.2017.11.008
    [30] 沈大钦. 再生骨料混凝土性能的研究[D]. 硕士学位论文. 北京: 北京交通大学, 2006.

    SHEN Daqin. Study of recycled aggregate concrete[D]. Master Thesis. Beijing: Beijing Jiaotong University, 2006. (in Chinese)
    [31] 袁飚. 再生混凝土抗压抗拉强度取值研究[D]. 硕士学位论文. 上海: 同济大学, 2007.

    YUAN Biao. On values of compressive strength and tensile strength of recycled aggregate concrete[D]. Master Thesis. Shanghai: Tongji University, 2007. (in Chinese)
    [32] YAMAN I O, HEARN N, AKTAN H M. Active and non-activ eporosity in concrete, part Ⅰ: experimental evidence[J]. Material and Structure, 2002, 35(3): 102-109.
    [33] 王海龙, 李庆斌. 饱和混凝土的弹性模量预测[J]. 清华大学学报(自然科学版), 2005, 45(6): 761-763,775. (WANG Hailong, LI Qingbin. Saturated concrete elastic modulus prediction[J]. Journal Tsinghua University (Science and Technology), 2005, 45(6): 761-763,775.(in Chinese) doi: 10.3321/j.issn:1000-0054.2005.06.012
    [34] 金昌. 再生混凝土力学性能指标试验研究[D]. 硕士学位论文. 武汉: 武汉大学, 2008.

    JIN Chang. Experimental research on mechanical performance indexes of recycled concrete[D]. Master Thesis. Wuhan: Wuhan University of Technology, 2008. (in Chinese)
    [35] 中华人民共和国住房和城乡建设部, 中华人民共和国国家质量监督检验检疫总局. 混凝土结构设计规范: GB50010—2010[S]. 北京: 中国建筑工业出版社, 2011.

    Ministry of Housing and Urban-Rural Development of the People’s Republic of China, General Administration of Quality Supervision, Inspection and Quarantine of the People’s Republic of China. Code for design of concrete structures: GB50010—2010[S]. Beijing: China Architecture & Building Press, 2011. (in Chinese)
    [36] RAVINDRARAJAH R, TAM C T. Properties of concrete made with crushed concrete as coarse aggregate[J]. Magazine of Concrete Research, 1985, 37(130): 29-38. doi: 10.1680/macr.1985.37.130.29
    [37] 周静海, 何海进, 孟宪宏, 等. 再生混凝土基本力学性能试验[J]. 沈阳建筑大学学报(自然科学版), 2010, 26(3): 464-467. (ZHOU Jinghai, HE Haijin, MENG Xianhong, et al. Basic mechanical properties of recycled concrete experimental study[J]. Journal of Shenyang Jianzhu University (Natural Science), 2010, 26(3): 464-467.(in Chinese)
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  • 收稿日期:  2021-03-29
  • 录用日期:  2021-03-29
  • 修回日期:  2021-11-12
  • 网络出版日期:  2022-06-01

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