Journal of Lanzhou University of Technology ›› 2021, Vol. 47 ›› Issue (2): 144-150.

• Architectural Sciences • Previous Articles     Next Articles

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. 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

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

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