基于等几何分析的二维线弹性问题研究

Research on Two-dimensional Linear Elasticity Problem Based on Isogeometric Analysis

等几何分析是传统有限元分析的一种拓展。给出基于等几何分析的二维线弹性问题具体解决过程,同时考虑基函数阶数对精度的影响,与传统有限元分析结果进行比较,确认等几何分析在解决二维线弹性问题时的有效性及精确性。

Isogeometric analysis is an extension of traditional finite element analysis. Isogeometrical analysis was used to solve two-dimensional linear elasticity problem while the impacts of the order of basis function to the precision were given. In comparison of the results of traditional finite element analysis, it is possible to define the validity and accuracy of isogeometric analysis when it is used to solve the two- dimensional linear elasticity problem.