The hybrid complex variable element -free Galerkin method for 3D elasticity problems

被引:63
作者
Cheng, Heng [1 ]
Peng, Miaojuan [2 ]
Cheng, Yumin [3 ]
Meng, Zhijuan [1 ]
机构
[1] Taiyuan Univ Sci & Technol, Sch Appl Sci, Taiyuan 030024, Peoples R China
[2] Shanghai Univ, Dept Civil Engn, Shanghai 200444, Peoples R China
[3] Shanghai Univ, Sch Mech & Engn Sci, Shanghai Inst Appl Math & Mech, Shanghai Key Lab Mech Energy Engn, Shanghai 200072, Peoples R China
关键词
Dimension splitting method Improved complex variable moving least; squares approximation Improved complex variable element; free Galerkin method Hybrid complex variable element; free Galerkin method Elasticity; ERROR; APPROXIMATION;
D O I
10.1016/j.engstruct.2020.110835
中图分类号
TU [建筑科学];
学科分类号
0813 ;
摘要
Based on the dimension splitting method (DSM) and the improved complex variable element -free Galerkin (ICVEFG) method, the hybrid complex variable element -free Galerkin (HCVEFG) method for three-dimensional (3D) elasticity is proposed in this paper. The equilibrium equation of a 3D elasticity is written as three sets of equations, which contains the equilibrium equations of any two directions. By introducing the DSM, a set of the equilibrium equation of a 3D elasticity problem is transformed into a series of two-dimensional (2D) problems which are solved by using the ICVEFG method. In splitting direction, the finite di fference method is used for coupling those 2D discretized equations. Similarly, the discretized equation of another set of the equilibrium equation can be derived. Then by coupling those two discretized system equations, the numerical solutions of the HCVEFG method for 3D elasticity problems can be obtained. The error and the convergence are analyzed by numerical examples, and the results show that the HCVEFG method has greater computational speed.
引用
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页数:12
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