沥青混合料粘弹塑性本构关系及大变形有限元分析一般理论

A General Theory for Asphalt Mixture Viscoelastoplasticity Constitutive Relation and Large Deformation Analysis

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 viscoelastoplasticity constitutive equation of asphalt mixture is established by the Perzyna＇s theory and the Mises yield criterion,and to three-dimensional equation.The small deformation of visco-elastic-plastic constitutive theory of incremental form and finite element numerical equation is obtained by the Newton-Raphson iterative process step-by-step integration method.Based on the small deformation constitutive theory,its stress-strain,stress deviator and equivalent stress,such as Cauchy stress,respectively,to switch to the Jaumann derivative of stress,deformation rate,stress deviator and equivalent stress,large deformation of viscoelastoplasticity incremental form constitutive equations and numerical equations are derived,and the viscoelastoplasticity theoretical system for asphalt mixture is set up.