Abstract: In order to simulate and calculate the structure and time-dependent mechanical behavior of asphalt pavement effectively, a serial viscoelastic-viscoplastic constitutive model was implemented into finite element calculation.The constitutive model was realized by finite element method by compiling material subroutine.The 3-D generalized Maxwell viscoelastic model was expressed in form of a hereditary integral,and the recursive formula of convolution equation was deduced by Prony series characteristics.The stiffness matrix of the iteration process was obtained by updating the strain under the condition of strain increment.The differential viscoplastic constitutive equation was based on the radial regression method to establish the variable evolution equation in the integral step.The convergence problem was solved by N-R iteration algorithm.The uniform tangent stiffness matrix of the whole iteration process was established by using the discrete derivation of the constitutive model.By comparing and analyzing the time- dependent behavior of indoor tests with typical examples, the rationality and validity of the finite element method were verified.It provides theoretical basis and practical analysis for structure calculation of asphalt pavement.

Key words: highway engineering, asphalt mixture, serial viscoelastic-viscoplastic, constitutive model, finite element model

摘要： 为将串联型粘弹-粘塑性本构模型移植到有限元计算中，使其能够对沥青路面结构与时间相关力学行为进行有效模拟和计算，通过编制材料子程序 对本构模型进行了有限元实现。三维广义Maxwell粘弹性模型采用遗传积分进行表征，利用Prony级数特性推导出卷积方程的递推公式，在应变增量条件下 更新应变，获得迭代过程的刚度矩阵；微分型粘塑性本构方程基于径向回退法建立积分子步下的变量演化方程，通过N-R迭代算法解决了收敛性问题，并 利用本构模型的离散化推导，建立了整体迭代过程的一致切线刚度矩阵。通过典型算例对室内试验的与时间相关性行为对比分析，验证了有限元实现的合 理有效性，为沥青路面结构计算提供理论基础和实例分析。

关键词: 道路工程, 沥青混合料, 串联型粘弹-粘塑性, 本构模型, 有限元模型