重复荷载下混凝土断裂损伤演化研究
作者:
作者单位:

(1.重庆交通大学河海学院;2.重庆大学土木工程学院;3.重庆市水利港航建设集团有限公司 )

作者简介:

郑丹(1979—),男,教授,博士,主要从事混凝土断裂力学研究。E-mail:zhengdan@cqjtu.edu.cn

通讯作者:

中图分类号:

TU528.04

基金项目:

国家自然科学基金项目(52479116);重庆市水利科技重点项目(CQSLK-2024008)


Research on fracture damage evolution of concrete under cyclic loading
Author:
Affiliation:

(1.Schoolof River and Ocean Engineering, Chongqing Jiaotong University;2.School of Civil Engineering, Chongqing University;3.Chongqing Water Conservancy Port and Shipping Construction Group Co., Ltd.)

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    摘要:

    为量化表征重复荷载下混凝土内部的断裂损伤演化机理,通过三点弯曲梁试验系统研究了混凝土断裂过程区(FPZ)裂纹长度、位移梯度及残余应变的演化规律,并采用基于Tikhonov正则化的黏聚力反演方法获得了黏聚力分布及其软化曲线。结果表明:在等幅荷载下,裂纹长度呈现先快速上升、后近线性缓增的双阶段特征,FPZ位移梯度则经历陡降与缓降两阶段衰减过程,且低荷载水平衰减幅度显著高于高荷载水平;在包络重复荷载下,裂纹长度随重复次数的增加持续扩展随后趋于稳定,而FPZ位移梯度单调递减;裂纹扩展速率滞后于裂纹口张开位移的增长,导致断裂区宽度增大而长度减小;由于重复荷载作用引发的黏聚力衰退、材料损伤及塑性变形协同发展,FPZ残余应变在加载周期内持续累积且增速加快;基于FPZ张开位移线性分布假设,采用Tikhonov正则化反演黏聚力分布,得到的软化曲线近似呈幂函数形式,反演得到的位移场与试验数据吻合较好,验证了该反演方法的可靠性。

    Abstract:

    To quantitatively characterize the fracture damage evolution mechanism inside concrete under cyclic loading, this paper systematically investigates the evolution laws of crack length, displacement gradient, and residual strain in the fracture process zone (FPZ) of concrete through three-point bending beam tests. A Tikhonov regularization-based cohesive stress inversion method is employed to invert the cohesive stress distribution, and the cohesive stress softening curve is obtained. The results indicate that under constant-amplitude loading, the crack length exhibits a two-stage characteristic of a rapid increase followed by nearly linear slow growth. The FPZ displacement gradient undergoes a two-stage attenuation process consisting of a steep decline followed by a gradual decline, with the attenuation magnitude at low load levels significantly higher than that at high load levels. Under envelope loading, the crack length continues to increase with the number of loading cycles and then tends to stabilize, whereas the FPZ displacement gradient decreases monotonically. The crack propagation rate lags behind the increase in crack mouth opening displacement, resulting in an increase in the width of the fracture process zone and a decrease in its length. Owing to the synergistic development of cohesive stress degradation, material damage, and plastic deformation induced by cyclic loading, the residual strain in the FPZ accumulates continuously over loading cycles at an accelerating rate. Based on the assumption of a linear distribution of FPZ opening displacement, the Tikhonov regularization method was used to invert the cohesive stress distribution. The resulting softening curve approximately follows a power-law form, and the inverted displacement field agrees well with the experimental data, thereby verifying the reliability of the inversion method.

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引用本文

郑丹,陈永强,秦张晨,等.重复荷载下混凝土断裂损伤演化研究[J].水利水电科技进展,2026,46(5):20-26, 101.(Zheng Dan, Chen Yongqiang, Qin Zhangchen, et al. Research on fracture damage evolution of concrete under cyclic loading[J]. Advances in Science and Technology of Water Resources,2026,46(5):20-26, 101.(in Chinese))

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  • 收稿日期:2025-07-05
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  • 在线发布日期: 2026-10-12
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