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Civil-Comp Proceedings
ISSN 1759-3433 CCP: 83
PROCEEDINGS OF THE EIGHTH INTERNATIONAL CONFERENCE ON COMPUTATIONAL STRUCTURES TECHNOLOGY Edited by: B.H.V. Topping, G. Montero and R. Montenegro
Paper 177
An Equilibrium Model in the Element Free Galerkin Method B.Q. Tinh1 and H. Nguyen-Dang2
1Department of Computational Mechanics, University of Natural Science, Ho Chi Minh City, Vietnam
Full Bibliographic Reference for this paper
B.Q. Tinh, H. Nguyen-Dang, "An Equilibrium Model in the Element Free Galerkin Method", in B.H.V. Topping, G. Montero, R. Montenegro, (Editors), "Proceedings of the Eighth International Conference on Computational Structures Technology", Civil-Comp Press, Stirlingshire, UK, Paper 177, 2006. doi:10.4203/ccp.83.177
Keywords: meshless method, EFG, equilibrium model.
Summary
The equilibrium approach with using the element free Galerkin method [1] is
presented in this paper. Together, a scaling parameter study
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We used the Lagrange multipliers to impose the essential boundary conditions and used the moving least squares method to approximate the stress fields from an Airy stress function. These comparison show that the accuracy and agreement of the two models. Nevertheless, our aim was not to replace the classical displacement model with the equilibrium model but rather to obtain a global error estimator based upon the combination of both models.
Furthermore, in the equilibrium model, for most of the values of
The method was illustrated in two-dimensional elasticity but it can be extended to other complex problems, to see Duflot et al. [2,3] in details. As the first step we will apply for three-dimension problem, thin plate problems and fracture mechanics problems, where the meshless method has proved to be particularly efficient. References
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