A coupled element free Galerkin/boundary element method for stress analysis of two-dimensional solids
YuanTong Gu,Gui-Rong Liu +1 more
TLDR
In this paper, a coupled EFG/boundary element (BE) method is proposed to improve the solution efficiency, where the continuity and compatibility are preserved on the interface of the two domains, where EFG and BE methods are applied.About:
This article is published in Computer Methods in Applied Mechanics and Engineering.The article was published on 2001-05-25 and is currently open access. It has received 79 citations till now. The article focuses on the topics: Boundary element method & Numerical analysis.read more
Citations
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Boundary element‐free method (BEFM) and its application to two‐dimensional elasticity problems
TL;DR: In this article, an improved moving least-square approximation (IMLS) method is proposed, where the orthogonal function system with a weight function is used as the basis function.
Engineering Analysis with Boundary Elements
TL;DR: In this paper, a contour integral method is used to convert the nonlinear eigenproblems caused by the boundary element method into ordinary eigen-problems, and all fictitious eigenfrequencies corresponding to the related interior problem are observed.
Journal ArticleDOI
A local point interpolation method for static and dynamic analysis of thin beams
YuanTong Gu,Gui-Rong Liu +1 more
TL;DR: In this article, a new LPIM formulation is proposed to deal with fourth-order boundary-value and initial-value problems for static and dynamic analysis (stability, free vibration and forced vibration) of beams.
Journal ArticleDOI
Meshfree methods and their comparisons
TL;DR: In this paper, several typical meshfree methods are introduced and compared with each others in terms of their accuracy, convergence and effectivity, and the major technical issues in mesh free methods are discussed.
Journal ArticleDOI
a Mesh-Free Method for Static and Free Vibration Analyses of Thin Plates of Complicated Shape
Gui-Rong Liu,X.L. Chen +1 more
TL;DR: In this article, a mesh-free method is presented to analyze the static deflection and the natural frequencies of thin plates of complicated shape using moving least squares (MLS) interpolation.
References
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Book
Theory of elasticity
TL;DR: The theory of the slipline field is used in this article to solve the problem of stable and non-stressed problems in plane strains in a plane-strain scenario.
Book
The finite element method
TL;DR: In this article, the methodes are numeriques and the fonction de forme reference record created on 2005-11-18, modified on 2016-08-08.
Journal ArticleDOI
Element‐free Galerkin methods
Ted Belytschko,Y. Y. Lu,L. Gu +2 more
TL;DR: In this article, an element-free Galerkin method which is applicable to arbitrary shapes but requires only nodal data is applied to elasticity and heat conduction problems, where moving least-squares interpolants are used to construct the trial and test functions for the variational principle.
Journal ArticleDOI
Surfaces generated by moving least squares methods
Peter Lancaster,K. Salkauskas +1 more
TL;DR: In this article, an analysis of moving least squares (m.l.s.) methods for smoothing and interpolating scattered data is presented, in particular theorems concerning the smoothness of interpolants and the description of m. l.s. processes as projection methods.
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