Element Free Galerkin Method

碩士 === 國立中央大學 === 機械工程研究所 === 94 === An element-free Galerkin(EFG) method is introduced in this paper. It is an meshfree method. In this method, moving least-square interpolates are used to construct the approximate function for the Galerkin weak-form. EFG can overcome finite element method(FEM) sev...

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Bibliographic Details
Main Authors: I-Tien Shueh, 謝宜典
Other Authors: Shu-Wei Wu
Format: Others
Language:zh-TW
Online Access:http://ndltd.ncl.edu.tw/handle/chz4mk
Description
Summary:碩士 === 國立中央大學 === 機械工程研究所 === 94 === An element-free Galerkin(EFG) method is introduced in this paper. It is an meshfree method. In this method, moving least-square interpolates are used to construct the approximate function for the Galerkin weak-form. EFG can overcome finite element method(FEM) several limitations in the engineering. For example, locking, large deformation problems accuracy losing, and crack growth problems. In this study, EFG is applied to elastostatics analysis. Path test, cantilevered beam, and plate with a central circular hole will be computed in this paper. Accuracy and convergence are also discussed in this paper. In addition, EFG method Fortran code also is offered in this paper. This Fortran code can be developed to meshfree application software or other meshfree method in the further.