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力学与实践 ›› 2016, Vol. 38 ›› Issue (6): 636-640.doi: 10.6052/1000-0879-16-151

• 应用研究 • 上一篇    下一篇

混凝土圆形骨料周边应力集中系数的解析法

于国友1, 潘云锋2   

  1. 1. 东莞理工学院建筑工程系, 广东 东莞 523808;
    2. 哈尔滨工业大学土木工程学院, 哈尔滨 150090
  • 收稿日期:2016-04-28 修回日期:2016-05-25 出版日期:2016-12-15 发布日期:2016-12-27
  • 通讯作者: 于国友,教授,博士,从事结构力学研究.E-mail:yugy@dgut.edu.cn E-mail:yugy@dgut.edu.cn
  • 基金资助:

    广东省教育厅2014年本科高校教学质量与教学改革工程项目“土木工程实验教学示范中心”(粤教高函(2014)97号和粤教高函(2014)107号)和广东省教育厅2015年本科高校教学质量与教学改革工程项目“《混凝土房屋结构设计课程群》的建设与改革”(粤教高函(2015)173号)资助.

ANALYTICAL SOLUTIONS FOR STRESS CONCENTRATION FACTOR AROUND CIRCULAR AGGREGATES IN CONCRETE

YU Guoyou1, PAN Yunfeng2   

  1. 1. Department of Civil Engineering, Dongguan University of Technology, Dongguan 523808, Guangdong, China;
    2. School of Civil Engineering, Harbin Institute of Technology, Harbin 150090, China
  • Received:2016-04-28 Revised:2016-05-25 Online:2016-12-15 Published:2016-12-27

摘要:

由于骨料与砂浆材料力学特性的不同,混凝土内部存在应力集中现象.又由于混凝土内部骨料众多且分布复杂,采用细观力学方法分析混凝土各处应力会遇到计算量大、划分单元困难的难题.因此,针对二维模型推导出了计算混凝土圆形单骨料周边应力集中系数的解析解.根据此解析解,应用叠加方法可通过均匀介质模型近似计算非均匀的混凝土各处应力,使计算模型非常简单.通过对单骨料和四骨料模型进行计算,并与有限元计算结果比较证明本文所给解析方法能够满足精度要求.

关键词:

混凝土|圆形骨料|解析解|应力集中|叠加方法

Abstract:

The different mechanical properties in mortar and in aggregates may lead to stress concentrations in concrete. However, as the distribution of aggregates is very complicated, a numerical analysis of concrete on micromechanical scales will involve a large computation and the difficulty of element meshing. Therefore, analytical solutions for the stress concentration factor caused by the existence of aggregates are derived in this paper based on a 2D model. Then, together with the superposition method, analytical solutions are used for the stress analysis in concrete of homogeneous media to approximate the real case, which makes the problem much easier. Analytical results are compared with those obtained by the FEM method for concretes with one aggregate and four aggregates, respectively, which verifies the accuracy of the method given in this paper.

Key words:

concrete|circular aggregate|analytical solution|stress concentration|superposition method

中图分类号: 

  • TU4