Analysis of 2D elasticity problems using Element-Free Galerkin (EFG) method

Authors

  • Dinh Tuan Le Trường Đại học Sư phạm Kỹ thuật TP.HCM, Việt Nam
  • Hoai Son Nguyen Trường Đại học Sư phạm Kỹ thuật TP.HCM, Việt Nam
  • Van Phuc Phung Trường Đại học Sư phạm Kỹ thuật TP.HCM, Việt Nam

Corressponding author's email:

tuanld@hcmute.edu.vn

Keywords:

EFG, 2D

Abstract

This paper presents a meshless approach to analyzing two-dimensional elasticity problems by the Element-Free Galerkin (EFG) method. It is based on moving least squares approximant. The unknown function of displacement is approximated by moving least square approximants . These approximants are constructed by using a weight function, a monomial basis function and a set of non-constant coefficients. A subdivision similar to finite element method is used to provide a background mesh for numerical integration. The essential boundary conditions are enforced by Lagrange multipliers. The results are obtained for a two-dimensional problem using different EFG weight functions and compared with the results of finite element method.

Downloads: 0

Download data is not yet available.

References

Đỗ Kiến Quốc,Đàn Hồi Ứng Dụng, NXB Đại Học Quốc Gia TP. Hồ Chí Minh, 2002 .

Nguyễn Hoài Sơn, Vũ Như Phan Thiện, Đỗ Thanh Việt, Phương Pháp Phần Tử Hữu Hạn Với Matlab, NXB Đại Học Quốc Gia TP. Hồ Chí Minh, 2001 .

Nguyễn Hoài Sơn, Lê Thanh Phong, Mai Đức Đãi, Ứng Dụng Phương Pháp Phần Tử Hữu Hạn Trong Tính Toán Kết Cấu, NXB Đại Học Quốc Gia TP. Hồ Chí Minh,2006 .

G.R. Liu, Mesh Free Methods. CRC Press LLC, 2003.

G.R. Liu and Y.T.Gu, An Introduction to Meshfree Methods and Their Programming. Published by Springer, 2005.

J. Dolbow and T. Belytschko (1998). An Introduction to Programming the Meshless Element Free Galerkin Method. Northwestern University. IL 60208-3109, USA,

Nguyen Vinh Phu (2006). Meshless Methods and Their Computer Implementation Aspects. ENISE

Petr Krysl, Ted Belytschko (2000). A Library to Compute the Element Free Galerkin Shape Functions. Comput. Methods Appl. Mech. Engrg. 190 (2001) 2181-2205.

Published

28-08-2009

How to Cite

[1]
Đình T. Le, H. S. Nguyen, and V. P. Phung, “Analysis of 2D elasticity problems using Element-Free Galerkin (EFG) method”, JTE, vol. 4, no. 2, pp. 60–67, Aug. 2009.

Issue

Section

Research Article

Categories