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推导出一种有别于其他数值解(如有限元法)的预估沥青路面永久变形的理论精确解。运用莫尔-库仑屈服条件和半空间内一点受集中力作用的Mindlin解,确定荷载作用下的沥青路面弹塑性分界面。利用刚塑性假定简化一维Burgers模型,从而简化了沥青路面的永久变形计算,据此假定将一维的沥青混合料Burgers模型推广至三维Burgers模型,类似于三维虎克定律。基于以上假定,计算出沥青路面下凹和隆起的永久变形,得出沥青路面侧向隆起高度约为下凹深度的一半,这一关系已被大量工程观测数据所证实。
A theoretical exact solution of the predicted permanent deformation of asphalt pavement is derived, which is different from other numerical solutions (such as the finite element method). Using the Mindlin solution of the Mohr-Coulomb yielding condition and a little concentrated force in the half space, the elastic-plastic interface of asphalt pavement under load is determined. One-dimensional Burgers model is simplified by rigid plastic assumption, which simplifies the calculation of permanent deformation of asphalt pavement. Therefore, it is assumed that one-dimensional Asphalt mixture Burgers model is extended to three-dimensional Burgers model, similar to three-dimensional Hooke’s law. Based on the above assumptions, the permanent deformations of the concave and convex of the asphalt pavement are calculated, and the lateral bump height of the asphalt pavement is about half of the concave depth. This relationship has been confirmed by a large number of engineering observation data.