基于串并联弹簧模型的混凝土黏聚律及裂缝扩展全过程分析.PDF

第38卷第4期 水 利 水 电科 技 进 展 2018年7月 Vol.38 No.4 Advances in Science and Technology of Water Resources Jul. 2018 DOI:10.3880/ j.issn.1006 7647.2018.04.007 基于串并联弹簧模型的混凝土黏聚律及 裂缝扩展全过程分析 卿龙邦,王摇 苗,郝冰娟 (河北工业大学土木与交通学院,天津摇 300401) 摘要:基于串并联弹簧随机损伤模型,结合损伤模型和断裂模型的耗散能等效原理计算得到了混凝 土裂缝黏聚律;基于微弹簧断裂应变服从Weibull分布和对数正态分布,研究了不同概率密度函数 对裂缝黏聚律的影响,并比较了所获得的黏聚律与采用位移等效方法获得的黏聚律的区别。 依据 得到的黏聚律模拟了三点弯曲梁裂缝扩展全过程,结果表明:混凝土裂缝黏聚律受微弹簧断裂应变 服从的概率密度函数影响;基于串并联弹簧随机损伤模型得到的裂缝黏聚律基本不受串并联弹簧 模型层数影响,避免了获取黏聚律时的模型层数敏感性问题。 关键词:混凝土;随机损伤模型;黏聚律;耗散能等效;裂缝 中图分类号:TU313摇 摇 摇 文献标志码:A摇 摇 摇 文章编号:1006 7647(2018)04 0038 06 Research on cohesive laws of concrete and crack propagation process based on a series鄄parallel spring model/ / QING Longbang, WANG Miao, HAO Bingjuan(School of Civil and Transportation Engineering, Hebei University of Technology,Tianjin300401,China) Abstract:Based on the series鄄parallel spring stochastic damagemodel,the cohesivelawsof concretewereobtainedby the method of energy dissipationequivalencebetweenthedamagemodelandthefracturemodel. Thefailurestrainofthemicro鄄 springs in the series鄄parallel spring model was assumed to be Weibull distribution and lognormal distribution,based on which the effect of different probability density functions on the cohesive laws was studied. The cohesive laws obtained by the present methodwerecomparedwiththoseusingthetraditionaldisplacementequivalencemethod. Theobtainedcohesive lawswere also used to simulate thefull crack propagation process of three鄄point notched concrete beams. The results show that thecohesivelawscanbeaffectedbytheprobability densityfunctionsandthecohesivelawsbasedonthe series鄄parallel spring stochasticdamagemodelarenotaffectedbythelayernumberofthemodel,avoidingthes