三维多向映射无限元及其在道路工程中的应用

摘要

首先在三维单向映射无限元的基础上， 提出了一种能从多个方向延伸到无穷远的多向映射无限元， 然后将其应用到路面结构的非线性数值分析中， 结果表明， 它们能很好地与三维等参数有限单元和单向映射无限元耦合， 且具有节点数目少、 精度高、 无需改动单元形状和便于网格自动形成等诸多优点。%Based on single-direction mapped infinite element, a new type of multi-direction mapped infinite element is presented, which extend to infinite in two or three directions. After application to nonlinear analysis on pavement, it is found that these elements not only can be coupled to 3-D isoparamteric finite elements, but also have many advantages, such as high precision with less nodes and without changing element shape, convenience to automatic mesh discretization and so on.