有限尺寸混凝土试件允许损伤尺度的解析研究  

ANALYTICAL STUDY ON PERMISSIBLE DAMAGE SCALE OF CRACKS IN FINITE SIZE CONCRETE SPECIMENS

作　　者：卿龙邦[1,2] 王妥 管俊峰[3] 刘金春[1] 

机构地区：[1]河北工业大学土木与交通学院,天津300401 [2]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 [3]华北水利水电大学土木与交通学院,河南郑州450011

出　　处：《工程力学》2017年第1期213-218,共6页Engineering Mechanics

基　　金：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项目(sklhse-2014-C-02);高等学校博士学科点专项科研基金项目(20131317120012);河北省自然科学基金青年基金项目(E2014202257);河北省高等学校科学技术研究重点项目(ZD2015028)

摘　　要：该文基于允许损伤尺度的概念,应用William级数形式的裂缝尖端应力场展开式,获得基于前三阶级数的裂尖应变场,进而考虑应力松弛的影响,推导了允许损伤尺度的解析表达式。以有限尺寸的混凝土三点弯曲梁试件为例,将允许损伤尺度试验值与该文理论值进行比较分析,分析了不同阶数对应的混凝土允许损伤尺度的变化规律。结果表明:该文所提的混凝土允许损伤尺度的理论值与试验值吻合较好;应力级数解展开至T应力项确定的允许损伤尺度大于奇异项和展开至三次高阶项确定的允许损伤尺度,展开至T应力项确定的允许损伤尺度更接近试验值。Using the concept of a permissible damage scale, the strain in front of crack tips in concrete were obtained as a third-order series based on the stress expressed by a William series, and the analytical solution of the permissible damage scale was derived based on the stress relaxation method. Taking a concrete beam specimen of finite size in three-point bending as an example, the theoretical values on the permissible damage scale were compared to the corresponding experimental values, and the influence of the series order on the value of permissible damage scale was analyzed. The results show that the theoretical values of permissible damage scale agree well with the experimental values. The values of permissible damage scale determined by the stress series expanded to T-stress terms are greater than the corresponding values by the singular term or expanded to the higher order terms as well as being much closer to the experimental values.

关 键 词：混凝土 裂缝 允许损伤尺度 有限尺寸 应力松弛 

分 类 号：TU528[建筑科学—建筑技术科学]