基于Burgers黏弹性模型的沥青路面蠕变变形规律三维有限元分析
doi: 10.13204/j.gyjz201403022
A 3D FEM ANALYSIS OF CREEP DEFORMATION LAW OF ASPHALT PAVEMENT BASED ON BURGERS VISCOELASTIC MODEL
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摘要: 针对不同温度条件下沥青路面的蠕变变形问题,以Burgers模型为理论依据,利用数据分析软件Origin8.1对不同温度下的蠕变试验曲线进行拟合分析,得出Burgers模型中E1、E2、1、2四个蠕变方程参数,采用Laplace变换与逆变换将Burgers蠕变方程转化为Prony级数,由此得到不同温度下沥青混合料的相对松弛模量g1、g2及松弛时间1、2,供ANSYS调用分析。利用三维有限元数值法对不同温度及加载时长下的沥青路面蠕变变形分布规律进行数值分析计算。结果表明:不同温度下路表蠕变变形横向范围均为0.88 m,变形向轮迹外侧延伸范围较内侧更广;温度越高,路表所产生的应变越大,60℃时路表会发生应变突变,路面经受5.4106累计当量标准轴载通行次数后将产生1 cm的车辙,对沥青路面的高温稳定性提出了更高的要求。Abstract: Aiming at the creep deformation problem of asphalt pavement under different temperature conditions, taking Burgers model as the theoretical basis,using the data analysis software Origin 8. 1 a fitting analysis of different temperature creep test curves was done to get the four creep equation parameters of Burgers model,and the Burgers creep equation was changed into Prony series by Laplace transform and inverse Laplace transform. Through these processes,the relative relaxation moduli g1 ,g2 and relaxation time 1 ,2 were got,which were associated with temperature of asphalt mixture. The distribution of creep deformation of asphalt pavement under the different temperature and loaded time conditions were analyzed by 3D FEM. The results show that under different temperature conditions the lateral extent of creep deformation at pavement surface is 0. 88 m,and the scope of deformation extending to the outside wheel track is wider than that of the inside. The higher the temperature,the greater the strain of pavement surface,strain mutation will appear on the surface at 60 ℃. When the pavement withstands 5. 4 106 total number of equivalent standard axle load,1 cm rut will be produced,which raises a higher requirement for high temperature stability of asphalt pavement.
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Key words:
- highway engineering /
- asphalt pavement /
- Burgers /
- Prony series /
- viscoelasticity /
- FEM
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