| 三维无网格法与有限元法工程应用对比分析探讨 |
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| 引用本文： | 徐镇凯,马连军. 三维无网格法与有限元法工程应用对比分析探讨[J]. 南昌大学学报(工科版), 2007, 29(4): 380-383 |
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| 作者姓名： | 徐镇凯 马连军 |
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| 作者单位： | 南昌大学,建筑工程学院,江西,南昌,330031 |
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| 基金项目： | 江西省教育厅科技计划资助项目(赣教技字[2006]21号) |
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| 摘 要： | 无网格伽辽金法基于移动最小二乘法的基础上,建立全计算域的高阶连续可导的插值函数,并只利用节点信息来建立离散模型的平衡方程。非线性有限单元法是在离散单元的基础上,构造连续可导的插值函数,进而建立平衡方程。本文应用无网格伽辽金法和非线性有限单元法及其相关理论编制三维计算程序,通过对工程算例的分析表明:无网格伽辽金法的计算精度高于有限单元法,应用于工程实例分析是有效可行的,已经成为有限单元法的有力补充。
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| 关 键 词： | 移动最小二乘法 变分原理 三维无网格伽辽金法 非线性本构关系 非线性弹性有限单元法 程序设计 |
| 文章编号： | 1006-0456（2007）04-0380-04 |
| 收稿时间： | 2006-12-19 |
| 修稿时间： | 2006-12-19 |
Application and Contrastive Research of 3D Element-Free Galerkin Method and Nonlinear Finite Element Method in Engineering |
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| XU Zhen-kai,MA Lian-jun. Application and Contrastive Research of 3D Element-Free Galerkin Method and Nonlinear Finite Element Method in Engineering[J]. Journal of Nanchang University(Engineering & Technology Edition), 2007, 29(4): 380-383 |
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| Authors: | XU Zhen-kai MA Lian-jun |
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| Affiliation: | School of Architectural Engineering, Nanchang University, Nanchang 330031 ,China |
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| Abstract: | The EFGM is based on moving least square method(MLSM).EFGM formulates the discrete model using only a set of nodes,so the pre-processing of the method is simplified and the approximating function is continuous with high-order differentials over the entire domain.Nonlinear elastic finite element method is based on deriving elements,formulates continuous high-order differentials functions and equilibrium equations etc.Furthermore a example is analyzed in details by using promgram of Element-free Galerkin method(EFGM) and Nonlinear Finite Element method(FEM) in this paper.The result show that new EFGM is more accurate than FEM in solving engineering problems. |
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| Keywords: | moving least square method variational principle three-dimensions element-free galerkin method increment-type stress-strain relation nonlinear elastic finite element method program design |
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