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基于随机损伤与断裂耗散能等效的混凝土裂缝扩展分析
引用本文:卿龙邦,郝冰娟,赵欣,管俊峰.基于随机损伤与断裂耗散能等效的混凝土裂缝扩展分析[J].水利学报,2016,47(1):64-71.
作者姓名:卿龙邦  郝冰娟  赵欣  管俊峰
作者单位:河北工业大学 土木工程学院, 天津 300401;清华大学 水沙科学与水利水电工程国家重点实验室, 北京 100084,河北工业大学 土木工程学院, 天津 300401,河北工业大学 土木工程学院, 天津 300401,华北水利水电大学 土木交通学院, 河南 郑州 450011
基金项目:国家自然科学基金项目(51309073,51209094);清华大学水沙科学与水利水电工程国家重点实验室开放基金(sklhse-2014-C-02);高等学校博士学科点专项科研基金(20131317120012);河北省自然科学基金项目(E2014202257);河北省高等学校科学技术研究重点项目(ZD2015028)
摘    要:本文基于损伤耗散能与断裂耗散能等效原理,并假设极限应变服从对数正态分布,建立了混凝土的微弹簧随机损伤模型,进一步给出了混凝土裂缝黏聚律的求解方法。依据所提方法,分别获得了骨料最大粒径dmax依次为80 mm和40 mm的大坝混凝土和湿筛混凝土的黏聚律的具体表达式。基于求解出的黏聚律,分别模拟了大坝和湿筛混凝土的带切口三点弯曲梁裂缝扩展全过程,并将计算得到的荷载-裂缝口张开位移的曲线与试验曲线进行了比较,两者吻合良好,从而验证了模型与求解方法的合理性与有效性。进一步采用建立的模型与方法分析了大坝混凝土和湿筛混凝土材料特征高度的合理取值范围,结果表明:对于本文计算所用的大坝混凝土和湿筛混凝土试件,其材料特征高度值可取6~10倍骨料最大粒径dmax。

关 键 词:大坝混凝土  裂缝  断裂  随机损伤  黏聚律
收稿时间:2015/3/26 0:00:00

Research on the crack propagation processes of concrete based on energy consumption equivalence between stochastic damage and fracture
QING Longbang,HAO Bingjuan,ZHAO Xin and GUAN Junfeng.Research on the crack propagation processes of concrete based on energy consumption equivalence between stochastic damage and fracture[J].Journal of Hydraulic Engineering,2016,47(1):64-71.
Authors:QING Longbang  HAO Bingjuan  ZHAO Xin and GUAN Junfeng
Affiliation:College of Civil Engineering, Hebei University of Technology, Tianjin 300401, China;State Key Laboratory of Hydroscience and Engineering, Tsinghua University, Beijing 100084, China,College of Civil Engineering, Hebei University of Technology, Tianjin 300401, China,College of Civil Engineering, Hebei University of Technology, Tianjin 300401, China and School of Civil Engineering and Communication, North China University of Water Resources and Electric Power, Zhengzhou 450011, China
Abstract:Based on energy consumption equivalence between damage and fracture, a micro-spring stochastic damage model was established with the assumption that the micro-spring failure strain is lognormal distribution and further the method of constructing the cohesive law of concrete was studied. The specific expressions of the cohesive laws of dam concrete (dmax is 80mm) and sieved concrete (dmax is 40mm) were obtained respectively by this method. Then the obtained cohesive laws were used to simulate the crack propagation process of three-point bending notched beams of dam concrete and sieved concrete respectively. Then the P-CMOD curves obtained from calculation were compared with the available experiment data,indicating a good agreement, which show the rationality and the effectiveness of the model and the calculation method presented in this paper. The characteristic lengths of the dam-concrete and wet-screening concrete were studied using this model and calculation method. The results show that, for the concrete investigated in this paper,the characteristic lengths are advised to be 6 to 10 times than the maximum aggregate size.
Keywords:dam concrete  crack  fracture  stochastic damage model  cohesive law
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