Numerical Solution of Solid Mechanics Problems Using a Boundary-Only and Truly Meshless Method

Combining the hybrid displacement variational formulation and the radial basis point interpolation, a truly meshless and boundary-only method is developed in this paper for the numerical solution of solid mechanics problems in two and three dimensions. In this method, boundary conditions can be appl...

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Bibliographic Details
Published in:Mathematical Problems in Engineering Vol. 2012; no. 2012; pp. 721 - 736-142
Main Author: Li, Xiaolin
Format: Journal Article
Language:English
Published: Cairo, Egypt Hindawi Limiteds 01.01.2012
Hindawi Publishing Corporation
John Wiley & Sons, Inc
Subjects:
Boundaries
Boundary conditions
Boundary value problems
Engineering
Finite element analysis
Finite element method
Integral equations
Interpolation
Mathematical analysis
Mathematical models
Mathematical problems
Mechanics
Meshless methods
Numerical integration
Solid mechanics
Studies
Three dimensional
Variables
ISSN:1024-123X, 1563-5147
Online Access:Get full text
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Summary:Combining the hybrid displacement variational formulation and the radial basis point interpolation, a truly meshless and boundary-only method is developed in this paper for the numerical solution of solid mechanics problems in two and three dimensions. In this method, boundary conditions can be applied directly and easily. Besides, it is truly meshless, that is, it only requires nodes generated on the boundary of the domain, and does not require any element either for variable interpolation or for numerical integration. Some numerical examples are presented to demonstrate the efficiency of the method.
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ISSN:1024-123X
1563-5147
DOI:10.1155/2012/298903