再生核粒子方法及其应用

Reproduction Kernel Particle Method and Its Application

再生核粒子方法(RKPM)是一种备受关注的无网格方法,具有广阔的应用前景。本文首先概述再生核粒子方法的发展过程,介绍了RKPM的近似方案、形函数的推导和边界条件的处理方法;综述了再生核粒子方法的最新研究动态。通过给出橡胶梁弯曲变形的数值算例,说明再生核粒子方法在解决大变形等工程问题上有着精度高,自适应能力强等特点。

The reproduction kernel particle method （RKPM）, a popular meshfree method, has broad application prospects. Firstly, the development process of RKPM has been presented. Then its approximation, the derivation of shape functions and the treatment of boundary conditions are introduced. The upto-date developments in the research on are presented. Finally, a numerical instance of rubber beam bending deformation is given to demonstrate that the method is highly accurate and self-adaptive in solving large deformation engineering problems.