层状路基路面体系温度应力和变形问题的位移函数解法

doi:10.13722/j.cnki.jrme.2017.1441

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摘要为探究温度荷载作用下层状路面体系温度应力和变形发展规律，基于热弹性理论和McNamee-Gibson位移函数，建立求解该问题的位移函数解法。基于平面应变热弹性问题的控制方程，引入位移函数并结合Laplace-Fourier变换，建立单层介质表面和任意深度处广义位移与广义应力间的关系式；结合相邻层间接触条件及层状体系的边界条件，得到层状路面体系温度应力和变形问题的解答。算例表明：所给出的方法求解层状路基路面体系温度应力和变形问题具有较好的适用性和较高的精度；温度在路面结构中的传递是一个衰减过程，由于热传导的时间效应，温度施加较短时间内主要影响区域为面层和基层，影响深度随着时间的推移逐渐扩大但强度减弱；路面体系热膨胀量随着深度的增大而减小；面层热膨胀量较大，易引起较大的温度应力而导致路面开裂，因此在路面结构设计时应加强面层间的黏结以保证路面结构的工作性能。

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	王路君1
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关键词 ：地基基础, 路基路面, 温度应力, 位移函数, 层状体系, 积分变换

Abstract：Based on the thermo-elasticity and McNamee-Gibson displacement function，a displacement function method，to study the development of thermal stress and thermal deformation in layered pavement structure，is presented. Starting with the governing equations of plane strain problem of thermo-elasticity，a relationship between the generalized strain and stress is established by using the displacement function and Laplace-Fourier transform. Combining with the contact and boundary conditions，strict solutions of the thermal-induced stress and deformation of the layered system are derived. The results show that the proposed method is capable of producing accurate solution to the thermal-induced deformation problems of layered pavement structures. Due to the time effect of heat conduction，the heat loading affects mainly the surface and base layers at the initial stage，and then the influenced region develops gradually towards the inner layers with the time going. The vertical thermal-induced expansion diminishes with the depth and the greatest expansion takes place at the surface layer，leading to the stress concentration and accordingly possible pavement cracking. It is therefore recommended that the bonding conditions between the surface and base layers should be strengthened to ensure the structural integrity of pavement structures.

Key words： foundations pavement structure thermal stress displacement function layered system integral transform

引用本文:

王路君1，2，朱斌1，2，文凯1，2，杨颂清1，2. 层状路基路面体系温度应力和变形问题的位移函数解法[J]. 岩石力学与工程学报, 2018, 37(7): 1691-1699.
WANG Lujun1，2，ZHU Bin1，2，WEN Kai1，2，YANG Songqing1，2. Displacement function method on thermal stress and thermal deformation problems for layered pavement structure. , 2018, 37(7): 1691-1699.

链接本文:

http://www.rockmech.org/CN/10.13722/j.cnki.jrme.2017.1441 或 http://www.rockmech.org/CN/Y2018/V37/I7/1691

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