Theoretical Analysis on Influence of Overlay on Crack Ｒesistance of
Old Cement Pavement

doi:10.3969 /j.issn.1674-0696.2013.05.10

Abstract

Abstract: The effect of overlay on the crack resistance of cement concrete pavement with cracks was analyzed． In order to simplify this problem，a theoretic analysis model was established by the application of fracture mechanics． Taking the cement concrete pavement as an elastic plate on Winkler foundation，Fourier transform and dislocation density function were used，to deduce the singular integral equation． Lobatto － Chebyshev integration formula，as a numerical method，has been used to solve the singular integral equations． The numerical solution and the expression of stress intensity factor at the crack top were obtained． A case study was carried out，and the stress intensity factors at the crack top with and without the overlay were compared． The results show that the thickness and elasticity modulus of overlay are important factors for the effect of overlay when the overlay reduces the stress intensity factor at the crack top．

Key words: cement concrete pavement, asphalt overlay, stress intensity factor, fracture mechanics, Fourier transform, dislocation density function, singular integral equation

摘要： 为分析加铺层对含裂纹水泥混凝土路面的抗裂作用，应用断裂力学方法建立了理论分析模型。将水泥混凝土路面视为Winkler 地基上的弹性板，采用傅立叶积分变换，并通过引入位错密度函数建立了奇异积分方程，再应用 Lobatto-Chebyshev 法求解奇异积分方程，得到裂纹尖端应力强度因子的表达式及数值解。以实际的路面为例，对比有无加铺层时裂纹尖端的应力强度因子值，结果显示: 加铺层使裂纹尖端应力强度因子减小，加铺层的厚度和弹性模量都是影响加铺效果的主要因素。

关键词: 水泥混凝土路面, 沥青加铺层, 应力强度因子, 断裂力学, 傅立叶变换, 位错密度函数, 奇异积分方程

CLC Number:

U416.222

Gao Yuanyuan，Zhong Yang，Li Ｒui. Theoretical Analysis on Influence of Overlay on Crack Ｒesistance of Old Cement Pavement[J]. Journal of Chongqing Jiaotong University(Natural Science), 2013, 32(5): 943-949.

高嫄嫄，钟阳，李锐. 加铺层对旧水泥路面抗裂作用的理论分析[J]. 重庆交通大学学报（自然科学版）, 2013, 32(5): 943-949.

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Theoretical Analysis on Influence of Overlay on Crack Ｒesistance of Old Cement Pavement

加铺层对旧水泥路面抗裂作用的理论分析

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