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Asphalt Pavement Aging and Temperature Dependent Properties through a Functionally Graded Viscoelastic Model, Part-I: Development, Implementation and Verification

机译：通过功能梯度粘弹性模型的沥青路面老化和温度相关特性，第一部分：开发，实施和验证

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摘要

Asphalt concrete pavements are inherently graded viscoelastic structures. Oxidative aging of asphalt binder and temperature cycling due to climatic conditions are the major cause of such graded non-homogeneity. Current pavement analysis and simulation procedures either ignore or use a layered approach to account for non-homogeneities. For instance, the recently developed Mechanistic-Empirical Design Guide (MEPDG) [1], which was recently approved by the American Association of State Highway and Transportation Officials (AASHTO), employs a layered analysis approach to simulate the effects of material aging gradients through the depth of the pavement as a function of pavement age. In the current work, a graded viscoelastic model has been implemented within a numerical framework for the simulation of asphalt pavement responses under various loading conditions. A functionally graded generalized Maxwell model has been used in the development of a constitutive model for asphalt concrete to account for aging and temperature induced property gradients. The associated finite element implementation of the constitutive model incorporates the generalized iso-parametric formulation (GIF) proposed by Kim and Paulino [2], which leads to the graded viscoelastic elements proposed in this work. A solution, based on the correspondence principle, has been implemented in conjunction with the collocation method, which leads to an efficient inverse numerical transform procedure.rnThis work is the first of a two-part paper and focuses on the development, implementation and verification of the aforementioned analysis approach for functionally graded viscoelastic systems. The follow-up paper focuses on the application of this approach.
机译：沥青混凝土路面是固有的渐变粘弹性结构。沥青粘合剂的氧化老化和气候条件引起的温度循环是造成这种不均匀性的主要原因。当前的路面分析和模拟程序要么忽略要么使用分层方法来解决不均匀性。例如，最近开发的《机械实证设计指南》（MEPDG）[1]最近获得了美国州公路和运输官员协会（AASHTO）的批准，它采用了一种分层分析方法来模拟材料老化梯度的影响。路面深度随路面年龄的变化。在当前的工作中，已经在数值框架内实现了分级粘弹性模型，用于模拟各种载荷条件下的沥青路面响应。功能梯度的广义麦克斯韦模型已用于沥青混凝土本构模型的开发，以解决时效和温度引起的性能梯度问题。本构模型的相关有限元实现结合了Kim和Paulino [2]提出的广义等参公式（GIF），从而得出了这项工作中提出的分级粘弹性单元。结合搭配方法，实现了一种基于对应原理的解决方案，从而实现了高效的逆数值变换过程。这项工作是两部分论文的第一篇，着重于开发，实现和验证功能梯度粘弹性体系的上述分析方法。后续论文集中于这种方法的应用。

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