A Hybrid Reproducing Kernel Particle Method for Three-Dimensional Elasticity Problems

被引:13
作者
Peng, Piaopiao [1 ]
Cheng, Heng [2 ]
Cheng, Yumin [3 ]
机构
[1] Shanxi Univ, Sch Elect Power Civil Engn & Architecture, Taiyuan 030006, Peoples R China
[2] Taiyuan Univ Sci & Technol, Sch Appl Sci, Taiyuan 030024, Peoples R China
[3] Shanghai Univ, Shanghai Key Lab Mech Energy Engn, Shanghai Inst Appl Math & Mech, Sch Mech & Engn Sci, Shanghai 200072, Peoples R China
基金
中国国家自然科学基金;
关键词
Meshless method; reproducing kernel particle method; dimension splitting method; hybrid reproducing kernel particle method; elasticity; FREE GALERKIN METHOD; NAVIER-STOKES EQUATIONS; SPLITTING METHOD;
D O I
10.1142/S1758825123500801
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
This study presents a fast meshless method called the hybrid reproducing kernel particle method (HRKPM) for the solution of three-dimensional (3D) elasticity problems. The equilibrium equations of 3D elasticity are divided into three groups of equations, and two equilibrium equations are contained in each group. By coupling the discrete equations for solving two arbitrary groups of equations, the complete solution of 3D elasticity can be obtained. For an arbitrary group of equations, the 3D elasticity problem is transformed into a series of associated two-dimensional (2D) ones, which is solved by the RKPM to derive the discrete formulae. The discrete equations of 2D problems are combined using the difference method in dimension splitting direction. Then, arbitrarily choosing another group of equilibrium equations, the discrete equation of another group of 2D problems can be obtained similarly. By combining the discrete equations for these two groups of 2D problems, the solution to an original 3D problem will be reached. The numerical results show that the HRKPM performs better than RKPM in solution efficiency.
引用
收藏
页数:25
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