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Because the pavement materials play an important role in road engineering,and thus many papers have been published for studying the relative material behaviors. However, most of previous papers are limited to experimental and theoretical analysis, the works related to numerical analysis for this problem are rarely seen up to the present time. Based on the Gibbs free energy model, which can be used to describe the pavement material behaviors properly. In this paper, two portions, namely, isotropic response and deviatoric response in itsmodel are combined to become an incremental relationship, and the global modelcan be used for numerical analysis. Therefore, the purpose of this study is tointegrate the models and to derive an incremental equation by the principle ofvirtual work. Then, the governing equation in a form of finite element model is developed. From the comparisons between numerical computation and experimental data, it can prove that the present finite element model has a reasonable accuracy. In the mean time, the results provided better descriptions of mechanical behaviors for a three dimensional structure under forced conditions, and the information may be useful in practical applications.
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