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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Main Author:	Xiaolin Li
Format:	Article
Language:	English
Published:	Hindawi Limited 2012-01-01
Series:	Mathematical Problems in Engineering
Online Access:	http://dx.doi.org/10.1155/2012/298903

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spelling	doaj-15e8209ce1e4410a9ff9d3874d092fc32020-11-25T01:01:07ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472012-01-01201210.1155/2012/298903298903Numerical Solution of Solid Mechanics Problems Using a Boundary-Only and Truly Meshless MethodXiaolin Li0College of Mathematics Science, Chongqing Normal University, Chongqing 400047, ChinaCombining 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.http://dx.doi.org/10.1155/2012/298903
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Xiaolin Li
spellingShingle	Xiaolin Li Numerical Solution of Solid Mechanics Problems Using a Boundary-Only and Truly Meshless Method Mathematical Problems in Engineering
author_facet	Xiaolin Li
author_sort	Xiaolin Li
title	Numerical Solution of Solid Mechanics Problems Using a Boundary-Only and Truly Meshless Method
title_short	Numerical Solution of Solid Mechanics Problems Using a Boundary-Only and Truly Meshless Method
title_full	Numerical Solution of Solid Mechanics Problems Using a Boundary-Only and Truly Meshless Method
title_fullStr	Numerical Solution of Solid Mechanics Problems Using a Boundary-Only and Truly Meshless Method
title_full_unstemmed	Numerical Solution of Solid Mechanics Problems Using a Boundary-Only and Truly Meshless Method
title_sort	numerical solution of solid mechanics problems using a boundary-only and truly meshless method
publisher	Hindawi Limited
series	Mathematical Problems in Engineering
issn	1024-123X 1563-5147
publishDate	2012-01-01
description	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.
url	http://dx.doi.org/10.1155/2012/298903
work_keys_str_mv	AT xiaolinli numericalsolutionofsolidmechanicsproblemsusingaboundaryonlyandtrulymeshlessmethod
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Numerical Solution of Solid Mechanics Problems Using a Boundary-Only and Truly Meshless Method

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