基于解析方法的开裂水泥混凝土路面动力响应

兰州理工大学学报 ›› 2021, Vol. 47 ›› Issue (2): 144-150.

基于解析方法的开裂水泥混凝土路面动力响应

高嫄嫄^*1, 王维玉², 赵庆新¹, 焦彦鹏¹

1.燕山大学建筑工程与力学学院, 河北秦皇岛 066004;
2.河北省建筑科学研究院, 河北石家庄 050021

收稿日期:2019-12-05 出版日期:2021-04-28 发布日期:2021-05-11
通讯作者: 高嫄嫄(1982-),女,辽宁锦州人,博士,副教授.Email:gaoyuanyuan2286@ysu.edu.cn
基金资助:
河北省高等学校科学技术研究项目(QN2019024)

Dynamic response of cement concrete pavement with crack under vehicle load based on analytic method

GAO Yuan-yuan¹, WANG Wei-yu², ZHAO Qing-xin¹, JIAO Yan-peng¹

1. School of Civil Engineering & Mechanics, Yanshan University, Qinhuangdao 066004, China;
2. Hebei Academy of Building Research, Shijiazhuang 050021, China

Received:2019-12-05 Online:2021-04-28 Published:2021-05-11

摘要/Abstract

摘要： 水泥混凝土路面在使用过程中板底出现裂缝是一种常见的损坏形式.为分析影响水泥混凝土路面中板底裂缝扩展的主要因素,以断裂力学理论为基础,基于解析的方法对含裂缝水泥混凝土路面的动力响应进行研究.将水泥混凝土路面简化为Winkler 地基上的弹性板,通过Fourier积分变换和Laplace积分变换,将位移控制偏微分方程组转化为常微分方程组进行求解,引入位错密度函数并应用留数定理计算复杂积分,推导出奇异积分方程并获得路面动力响应的解析表达式.通过Lobatto-Chebyshev求积公式求解奇异积分方程,可以得到裂缝尖端应力强度因子的数值解.以工程实例计算结果为基础,分析影响水泥混凝土路面中板底裂缝向上扩展的主要因素.

关键词: 水泥混凝土路面, 动应力强度因子, 断裂力学, Laplace积分变换, Fourier积分变换

Abstract: Bottom crack in cement concrete pavement is one of the major pavement diseases. The main purpose of this study is to propose the theoretical basis for evaluating the status of the pavement. In order to simplify the problem, the cement concrete pavement was modeled as an elastic plate on winkle foundation. To solve the governing equations, the Fourier transform and Laplace transform were introduced to transform the partial differential equations to ordinary differential equations. The residual theorem and dislocation density function were used to derive the singular integral equations. Lobatto-Chebyshev integration formula, as a numerical method, was used to gain the results of the singular integral equations. The numerical solution of dynamic stress intensity factor at the crack tip was obtained. In order to get the factors that affect the crack propagating, numerical analyses were carried out for a cement concrete pavement with a bottom crack.

Key words: cement concrete pavement, dynamic stress intensity factors, fracture mechanics, Laplace transform, Fourier transform

中图分类号:

U416.222

高嫄嫄, 王维玉, 赵庆新, 焦彦鹏. 基于解析方法的开裂水泥混凝土路面动力响应[J]. 兰州理工大学学报, 2021, 47(2): 144-150.

GAO Yuan-yuan, WANG Wei-yu, ZHAO Qing-xin, JIAO Yan-peng. Dynamic response of cement concrete pavement with crack under vehicle load based on analytic method[J]. Journal of Lanzhou University of Technology, 2021, 47(2): 144-150.

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