建筑结构学报2025，Vol.46Issue(12)：99-107,9.DOI:10.14006/j.jzjgxb.2024.0345
基于三维分形维数的结构表观裂缝分形特征与累积损伤评估
Fractal characteristics and cumulative damage assessment of structural apparent cracks based on three-dimensional fractal dimension
摘要
Abstract
To address the safety risks of existing buildings during secondary earthquakes,this study proposed an improved analytical approach to quantify the relationship between crack fractal characteristics and cumulative damage in prefabricated new-type fly ash foamed concrete structures.By integrating digital image correlation technology and two-dimensional fractal dimension theory,a computational method for three-dimensional fractal dimension was developed.A functional relationship between the apparent crack fractal characteristics and cumulative damage of prefabricated new-type fly ash foamed concrete structures was established using both two-dimensional and three-dimensional fractal dimensions.Furthermore,finite element analysis was conducted to examine the correlation between crack fractal dimension and cumulative damage under different porosity conditions by ABAQUS.The derived relationship was validated through its application to prefabricated new-type fly ash foamed concrete wall components.The results demonstrate that three-dimensional fractal dimension provides a 9.8％improvement of the statistical accuracy of crack characterization compared with two-dimensional fractal dimension.The relationship between crack distribution and cumulative damage in prefabricated new-type fly ash foamed concrete structures is characterized by a quadratic function.Using three-dimensional fractal dimension improves the fitting accuracy of structural cumulative damage calculation by 15.9％compared to using two-dimensional fractal dimension,and this quadratic relationship remains applicable to structures with openings.The functional relationship between apparent crack fractal dimension and cumulative damage is valid for fly ash foamed concrete walls.关键词
三维分形维数/裂缝特征/装配式粉煤灰泡沫混凝土结构/有限元分析/损伤评估/累积损伤Key words
three-dimensional fractal dimension/crack characteristic/prefabricated fly ash foamed concrete structure/FEA/damage assessment/cumulative damage分类
建筑与水利引用本文复制引用
王洪泽,郝贠洪,孙浩,曹万林,乔志..基于三维分形维数的结构表观裂缝分形特征与累积损伤评估[J].建筑结构学报,2025,46(12):99-107,9.基金项目
国家自然科学基金面上项目(12272190),中央引导地方科技发展资金项目(2022ZY0189),内蒙古自治区草原英才项目. （12272190）
