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应用Perzyna’s理论和Mises屈服准则建立沥青混合料粘弹塑性本构方程,并扩展到三维方程;应用Newton-Raphson迭代程序的逐步积分方法,获得了小变形粘弹塑性本构理论增量形式和有限元数值方程。基于小变形本构理论,把其应力应变、应力偏量和等效应力分别改用Cauchy应力的Jaumann导数、变形率、应力偏量和等效应力,推导出大变形粘弹塑性增量形式的本构方程和数值方程,建立了沥青混合料粘弹塑性理论体系。
The viscoelasto-plastic constitutive equation of asphalt mixture is established by using Perzyna’s theory and Mises yield criterion. The constitutive equation of viscoelastic plasticity of asphalt mixture is extended to the three-dimensional equation. The incremental form of the viscoelastic plastic constitutive theory of small deformation is obtained by using the step-by-step integral method of the Newton-Raphson iterative procedure Meta-numerical equation. Based on the small deformation constitutive theory, the stresses and strains, the stress deviations and the equivalent stresses are replaced by Cauchy stress Jaumann derivatives, deformation rates, stress deviations and equivalent stresses, respectively. Constitutive equation and numerical equation, a viscoelastic-plastic theoretical system of asphalt mixture is established.