混凝土三点弯曲梁断裂解析方法及断裂过程区理论特性

ANALYTICAL METHODS FOR FRACTURE OF CONCRETE THREE-POINT BENDING BEAMS AND THEORETICAL CHARACTERISTICS OF FRACTURE PROCESS ZONE

  • 摘要: 混凝土非线性断裂行为的重要特征是裂缝前沿存在相对于试件尺寸较大而不可忽略的断裂过程区。将混凝土三点弯曲梁虚拟裂缝上的位移分布采用多项式形式表达,提出了混凝土三点弯曲梁断裂解析方法,推导了裂缝扩展过程中的裂缝张开位移和黏聚力分布的解析表达式。依据推导出的解析表达式,求解了混凝土三点弯曲梁断裂过程中的裂缝张开位移分布和黏聚力分布,将计算结果与现有试验结果及数值分析结果分别进行了比较,分析了混凝土在裂缝扩展过程中的裂缝张开位移及黏聚力的分布规律及试件尺寸和缝高比对混凝土裂缝黏聚区特性的影响。结果表明:裂缝张开位移曲线为非线性分布。随着试件尺寸的增大,裂缝张开位移逐渐增大、临界断裂过程区长度逐渐增大。随着缝高比的增大,临界裂缝张开位移逐渐增大、黏聚力逐渐减小。采用该文提出的混凝土三点弯曲梁断裂解析方法,可计算不同尺寸的混凝土三点弯曲梁在断裂各阶段的裂缝张开位移。

     

    Abstract: An important characteristic of the nonlinear fracture behavior of concrete is the presence of a fracture process zone at the crack front, which is significantly relative to the specimen dimensions and cannot be neglected. In this study, the displacement distribution along the fictitious crack in the concrete three-point bending beam is represented using a polynomial function. An analytical method is developed for fracture analysis of the beam. Analytical expressions describing the crack opening displacement and cohesive stress distribution throughout the crack propagation process are derived. Based on the analytical method, the distributions of crack opening displacement and cohesive stress during the fracture process are determined. The calculation results are compared with the experimental results and numerical analysis results. The distribution of crack opening displacement and cohesive stress during the propagation is analyzed, and the influences of specimen size and the initial crack length-to-depth ratio on the characteristics of the cohesive zone in concrete are investigated. The results show that the crack opening displacement curve exhibits a nonlinear distribution. As the specimen size increases, both the crack opening displacement and the length of critical fracture process zone gradually increase. With the increase of initial crack length-to-depth ratio, the critical crack opening displacement tends to increase gradually, while the cohesive stress tends to decrease gradually. Using the derived analytical expression for the crack opening displacement derived in this study, the crack opening displacement of three-point bending beams of different sizes at any stage during crack propagation can be calculated.

     

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