A meshfree radial point interpolation method (RPIM) for three-dimensional solids
A meshfree radial point interpolation method (RPIM) for three-dimensional solids
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DOI：
10.1007/s00466-005-0657-6
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发表时间：
2005-11-01
影响因子：
4.1
通讯作者：
Wang, YY
中科院分区：
文献类型：
--
作者：
Liu, GR;Zhang, GY;Wang, YY
基于Galerkin弱形式，利用径向基函数（RBFs）构造三维无网格形函数，提出了一种用于三维实体应力分析的无网格径向点插值方法（RPIM）。由于RPIM形函数具有Kronecker δ函数的性质，本质边界条件可以像有限元法（FEM）一样容易地施加。三维实体的数值算例验证了本RPIM方法的有效性和准确性，并进行了深入的数值研究，调查一些重要参数的影响。结果表明，目前的无网格RPIM是强大的，稳定的，可靠的三维实体的应力分析。
A meshfree radial point interpolation method (RPIM) is developed for stress analysis of three-dimensional (3D) solids, based on the Galerkin weak form formulation using 3D meshfree shape functions constructed using radial basis functions (RBFs). As the RPIM shape functions have the Kronecker delta functions property, essential boundary conditions can be enforced as easily as in the finite element method (FEM). Numerical examples of 3D solids are presented to verify validity and accuracy of the present RPIM method, and intensive numerical study has been conducted to investigate the effects of some important parameters. It is demonstrated that the present meshfree RPIM is robust, stable, and reliable for stress analysis of 3D solids.