串联型粘弹-粘塑性沥青混合料本构模型的有限元分析  

Finite Element Analysis on Constitutive Model of Serial Viscoelastic-Viscoplastic Asphalt Mixture

作　　者：徐建平[1,2] 朱耀庭 XU Jianping;ZHU Yaoting(School of Civil Engineering,Chongqing Jiaotong University,Chongqing 400074,P.R.China;Jiangxi ProvincialExpressway Investment Group Co.,Ltd.,Nanchang 330025,Jiangxi,P.R.China;Jiangxi Transportation Institute,Nanchang 330038,Jiangxi,P.R.China)

机构地区：[1]重庆交通大学土木工程学院,重庆400074 [2]江西省高速公路投资集团有限责任公司,江西南昌330025 [3]江西省交通科学研究院,江西南昌330038

出　　处：《重庆交通大学学报（自然科学版）》2019年第2期27-34,50,共9页Journal of Chongqing Jiaotong University(Natural Science)

基　　金：国家自然科学基金项目(51508246);交通运输部建设科技项目(2013318780290);江西省交通运输厅科技项目(2012C0017;2012C0018)

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。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.

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 

分 类 号：U416[交通运输工程—道路与铁道工程]