摘要
水泥混凝土路面在使用过程中出现裂纹是一种常见的损坏形式.以断裂力学理论为基础,对含裂纹水泥混凝土路面进行了理论分析.将水泥混凝土路面视为Winkler地基上的弹性板,利用傅里叶积分变换,并通过引入位错密度函数建立奇异积分方程,推导出水泥混凝土路面含有垂直裂纹时裂纹尖端的应力强度因子的解析表达式.再应用Lobatto-Chebyshev法求解奇异积分方程,得到应力强度因子的数值解.以实际路面为例,给出水泥混凝土路面内部存在裂纹时裂纹尖端应力强度因子的计算结果,并讨论了影响应力强度因子大小的因素.
The main object of this study is to determine the stress intensity factors in a cement concrete pavement containing a crack perpendicular to the interface. In order to simplify the problem, a cement concrete pavement is reduced to an elastic plate on the Winkler foundation. To derive the singular integral equations, Fourier transform and the dislocation density function are used. As a numerical method， Lobatto—Chebyshev integration formula has been used to solve the singular integral equations. The numerical solutions of stress intensity factor at the crack tips are given. In order to examine the usefulness of the method described in this paper, a cement concrete pavement with an embedded crack is considered.
出处
《武汉理工大学学报（交通科学与工程版）》
2013年第6期1158-1162,共5页
Journal of Wuhan University of Technology（Transportation Science & Engineering）
关键词
水泥混凝土路面
应力强度因子
傅立叶变换
位错密度函数
奇异积分方程
Cement concrete pavement
stress intensity factor
Fourier transform
dislocation density function
singular integral equation
