中文摘要：

提出了弹性力学的复变量重构核粒子法与有限元法的耦合法（CVRKPM/FEM）。采用场量耦合试函数法将弹性力学的复变量重构核粒子法与有限元法进行耦合,详细推导了在整个求解域上的耦合公式。最后通过数值算例证实了本文所提弹性力学的复变量重构核粒子法与有限元的耦合法的有效性。本文的耦合法不仅可以很方便地施加本质边界条件,而且可以充分利用无网格方法和有限元法的优势,弥补各自不足以提高计算效率。

英文摘要：

A coupled CVRKPM/FEM for analyzing two dimensional elasticity problems was presented. A coupled displacement approximation function was applied for combining CVRKPM with FEM, and the corresponding formulations of the coupled method were presented in detail. Two numerical examples of elasticity problems were presented to demonstrate the effectiveness of present coupled method. The coupled CVRKPM/FEM method not only apply the essential boundary condition conveniently, but also exploit their advantages to avoid individual disadvantages, then the computation efficiency is higher.