Abstract
In this study, the temperature distribution of a pavement was predicted by developing an analytic algorithm. The Laplace and inverse Laplace transform techniques and Gaussian quadratic formula were applied to a pavement system of an asphalt overlay placed over an existing concrete pavement. The temperature distribution of the previous cement concrete pavement with an asphalt overlay can be estimated with the proposed analytical method regardless of the depth and time. To conduct the method, the layer thicknesses, material thermal properties and climatic factors (including air temperature, wind velocity and solar radiation) were firstly input. Then, a discrete least-squares approximation of the interpolatory trigonometric polynomials was used to fit some specific measured climatic factors considered in the surface boundary condition, i.e., the measured solar radiation intensity and air temperature. The pavement surface convection coefficient can be approximately calculated by the wind speed. The temperature solutions are validated with the measured pavement temperature data of two different periods of a whole year (summer and winter). The obtained results demonstrate the feasibility of the developed analytical approach to predict the temperature distribution of the existing cement concrete pavement with an asphalt overlay in different weather conditions with acceptable accuracy.
Highlights
Asphalt overlays can be used for reconstruction on existing cement concrete pavements, due to their good asphalt pavement performance, easy construction, lesser environmental pollution and property of being driven on comfortably
To accurately design an asphalt overlay, understand the asphalt material’s behavior and predict the pavement performance, it is necessary to predict the alteration of the pavement temperature with the time and depth in a pavement system of an asphalt overlay placed over an existing concrete pavement
Wang et al [8] developed the Hankel integral transform method to derive the theoretical solution of the temperature field in a multilayered pavement system, where the measured air temperatures and solar radiation intensities were fitted by the interpolatory trigonometric polynomials based on discrete Fourier transform
Summary
Asphalt overlays can be used for reconstruction on existing cement concrete pavements, due to their good asphalt pavement performance, easy construction, lesser environmental pollution and property of being driven on comfortably. According to the research of Wang and Roesler, an analytical solution of a one-dimensional temperature profile prediction with the use of the separation of variables method was proposed in two different types of multilayered pavement systems including rigid pavement [6] and asphalt pavement [7]. Wang et al [8] developed the Hankel integral transform method to derive the theoretical solution of the temperature field in a multilayered pavement system, where the measured air temperatures and solar radiation intensities were fitted by the interpolatory trigonometric polynomials based on discrete Fourier transform. The deduction on the relationship between the first layer and the constants of integration for the jth layer was conducted, and the temperature field in the existing cement concrete pavement with an asphalt overlay was solved by a Gaussian quadratic formula used in the numerical evaluation of the inverse Laplace transform. The temperature solutions are validated with the measured temperature field data from the existing cement concrete pavement with an asphalt overlay
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