基于权函数法的边缘裂缝方形板断裂特性分析  

Fracture Analysis of Square Plate with Edge Crack Based on Weight Function Method

作　　者：谭力[1] 廖翌棋[2] 

机构地区：[1]北京航空航天大学交通科学与工程学院,北京100191 [2]北京安捷工程咨询有限公司,北京100037

出　　处：《公路交通科技》2012年第1期53-57,79,共6页Journal of Highway and Transportation Research and Development

摘　　要：带边缘裂缝的方形平板是实际公路、房屋建筑以及大坝等工程结构中常见的几何形状,为了得到其断裂特性,需要对其应力强度因子大小及裂缝张开位移发展进行研究。利用有限元分析结果进行曲线拟合,得到有限大带边缘裂缝的方形平板的权函数数值解,通过引入独立参考荷载的附加条件求得了应力强度因子(SIF)和裂缝端口张开口位移(CMOD)在初始裂缝极短和极长两种极限条件下(和)的参考解析解。研究表明,可以根据此方法对有限大边缘裂缝方形板各种初始裂缝长度情况下(包括两种极限情况)的断裂应力场及裂缝张开趋势进行计算和判断,为工程应用提供依据。Square plate with edge crack is one of the most familiar fracture geometry in engineering structures such as highway, building and dam to obtain its fracture characteristics, the stress intensity factor and crack opening displacements should be investigated. The weight function of square plates with finite edge crack was obtained through finite element method and curve fitting, the reference analytical solutions of the stress intensity factor and crack mouth opening displacement in limit situations （when the initial crack length approaches to zero a→0 and infinite a→1 ） were obtained by introducing an extra reference loading. It shows that the fracture stress fields and crack opening trends of finite edge-cracked square plate with different initial cracks （including two limited situations ） can be derived by the weight function, which is useful for engineering practice.

关 键 词：道路工程 断裂分析 权函数 边缘裂缝 方形板 

分 类 号：U416[交通运输工程—道路与铁道工程]