非凸边界上自然单元法形函数计算方法研究

Research on calculation methods of shape functions of natural element method on non-convex border

针对非凸边界上自然单元法形函数插值性能及其计算方法进行了研究和探讨,提出一种非凸边界上自然单元法形函数计算方法,实现了形函数在边界结点间的线性变化,具有方便实用,适用面广和计算方法统一等特点。

The paper researches and explores the interpolation performance of the shape functions of natural element method on non-convex border and its calculation methods, points out the calculation methods of shape functions of natural element method on non-convex border, and realizes the linear changes of the shape functions on the nodes of borders, which has convenient application, extensive applicability and integrated calculation methods.