摘要
近年来,随着我国公路交通事业的不断发展,主体公路网的建设已经基本完成。旧路的养护和维修成为道路工程技术人员及科研工作者关注的重点。在交通荷载及温度应力的反复作用下,在旧路面结构中出现裂纹是一种比较常见的路面早期损坏形式。随着裂缝的不断扩展,严重影响了路面上车辆行驶的安全性和舒适性。开展含裂纹路面结构以及有加铺层的含裂纹路面结构的研究可以更加全面的评价路面的使用状况。同时也对路面进行维修以及加铺的路面的合理的选择具有非常重要的理论意义和实用价值。针对这一问题本文开展以下几个方面进行研究:
(1)建立含裂纹旧水泥路面的理论分析模型,分别考虑了裂纹出现在路表面及面层底部两种情况,将水泥路面视为Winkler地基上的弹性板,利用傅立叶积分变换将偏微分方程组转化为常微分方程组,使微分方程组的求解更加简单。引入位错密度函数并应用留数定理计算复杂积分,推导出任一点位移与应力的解析表达式。对建立的奇异积分方程,应用Lobatto—Chebyshev法求解奇异积分方程并根据应力强度因子的定义求得应力强度因子的数值解。分析含裂纹水泥路面在车辆荷载作用下路面内部应力分布状态及影响裂纹尖端应力分布的因素。对路面的及时维修做出合理的判断。
(2)建立含裂纹沥青路面的理论分析模型,将沥青路面视为各向同性的多层弹性体,利用傅立叶积分变换,引入位错密度函数,建立奇异积分方程,推导出任一点应力与位移的解析表达式,应用Lobatto—Chebyshev法求解奇异积分方程求得应力强度因子的数值解。分析含裂纹沥青路面在荷载作用下裂纹尖端附近的应力分布状态。
(3)对有加铺层结构含裂纹水泥路面进行应力、位移及应力强度因子解析表达式的推导,并求解应力强度因子的数值解。分别选择不同的加铺层厚度、加铺层弹性模量及不同的荷载位置分析加铺层对于阻止裂纹扩展的作用。分析加铺层厚度、弹性模量等因素对加铺层作用的影响。
(4)对有加铺层结构含裂纹旧沥青路面进行应力、位移及应力强度因子解析表达式的推导,并求解应力强度因子的数值解。分析加铺层对旧沥青路面中裂纹扩展的阻碍作用。分别选择在不同荷载位置及不同加铺层弹性模量情况下旧沥青路面中裂纹尖端应力强度因子值的大小。
In recent years, with the development of highway transportation, the construction of main road network has been finished in our country. Therefore, more and more engineers and experts pay their attention to the research of pavement maintenance and rehabilitation. Cracking is one of the main forms of early damage of pavement structure caused by cyclic traffic and temperature loads. With the propagation of cracks in the pavement, it will seriously affect the travelling safety and comfort. In order to evaluate the comprehensive situation of the pavement and take the appropriate measures to repair the road, the research for the pavement with cracks and pavement with an overlay is necessary. This dissertation has mainly covered the studies on four issues as follows:
(1) In order to simplify the problem, a cement concrete pavement is reduced to an elastic plate on Winkler foundation with cracks on the surface or at the bottom. To solve the problem simply, the Fourier transform is used to convert the partial differential equations into the ordinary differential equations. Dislocation density function is introduced and the residue theorem is used to calculate the complex integrals. Lobatto—Chebyshev integration formula, as a numerical method, is used to solve the singular integral equations. The numerical solutions of stress intensity factors at the crack tip are given. Cement concrete pavement with a crack is considered with the method described in this part and the influence factors are analyzed that affect the stress distributions near the crack tip. According to the results of calculation, appropriate decisions on whether the old road should be repaired or not can be made.
(2) A model for asphalt concrete pavement is established. It is reduced to the elastic multilayered structure with a crack in one layer perpendicular to the surface. To solve the problem simply, the Fourier transform is used to convert the partial differential equations into the ordinary differential equations. Dislocation density function is introduced. According to the boundary conditions, the residue theorem is used to calculate the complex integrals and the stresses and strains of any point in the pavement can be expressed by the dislocation density function. Lobatto—Chebyshev integration formula, as a numerical method, is used to solve the singular integral equations. The numerical solutions of stress intensity factors at the crack tip are given. The stress and strain distributions near the crack tip are analyzed by the method mentioned in this part.
(3) To analyze the mechanical behaviors of the cement concrete pavement with an asphalt overlay, the expressions of stresses and displacements are derived and the numerical results of the stress intensity factors of the crack tip are calculated. Comparing the numerical results of stress intensity factors with different thicknesses and elastic moduli of the overlay and different horizontal distances of the traffic load from the crack, the main factors that impact the overlay and optimize the technology of asphalt overlay are obtained.
(4) In order to analyze the mechanical behaviors of the asphalt concrete pavement with an asphalt overlay, the expressions of stresses and displacements are derived and the numerical results of the stress intensity factors of the crack tip are calculated. The actions of asphalt overlay which resist the growth of cracks are analyzed and the stress intensity factors of crack tips with different elastic moduli of the asphalt overlay and different horizontal distances of the traffic load from the crack are obtained and compared.
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