DRM - MFS for two-dimensional finite elasticity

Husain Jubran Al-Gahtani

doi:10.1016/j.enganabound.2012.04.002

DRM - MFS for two-dimensional finite elasticity

Husain Jubran Al-Gahtani^*

^*Corresponding author for this work

Department of Civil and Environmental Engineering

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

This paper presents a meshless method for the solution of problems in finite elasticity. The method is based on coupling the method of fundamental solutions (MFS) with dual reciprocity method (DRM). The solution is obtained by adding the homogeneous solution generated by MFS to the particular solution obtained by the radial basis function employed in DRM. The procedure has the advantage of eliminating domain integration. The proposed method is tested through two numerical examples that confirm its efficiency and accuracy.

Original language	English
Pages (from-to)	1473-1477
Number of pages	5
Journal	Engineering Analysis with Boundary Elements
Volume	36
Issue number	10
DOIs	https://doi.org/10.1016/j.enganabound.2012.04.002
State	Published - Oct 2012

Keywords

Dual reciprocity
Finite elasticity
Fundamental solution
Meshless method

ASJC Scopus subject areas

Analysis
General Engineering
Computational Mathematics
Applied Mathematics

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10.1016/j.enganabound.2012.04.002

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title = "DRM - MFS for two-dimensional finite elasticity",

abstract = "This paper presents a meshless method for the solution of problems in finite elasticity. The method is based on coupling the method of fundamental solutions (MFS) with dual reciprocity method (DRM). The solution is obtained by adding the homogeneous solution generated by MFS to the particular solution obtained by the radial basis function employed in DRM. The procedure has the advantage of eliminating domain integration. The proposed method is tested through two numerical examples that confirm its efficiency and accuracy.",

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T1 - DRM - MFS for two-dimensional finite elasticity

AU - Jubran Al-Gahtani, Husain

PY - 2012/10

Y1 - 2012/10

N2 - This paper presents a meshless method for the solution of problems in finite elasticity. The method is based on coupling the method of fundamental solutions (MFS) with dual reciprocity method (DRM). The solution is obtained by adding the homogeneous solution generated by MFS to the particular solution obtained by the radial basis function employed in DRM. The procedure has the advantage of eliminating domain integration. The proposed method is tested through two numerical examples that confirm its efficiency and accuracy.

AB - This paper presents a meshless method for the solution of problems in finite elasticity. The method is based on coupling the method of fundamental solutions (MFS) with dual reciprocity method (DRM). The solution is obtained by adding the homogeneous solution generated by MFS to the particular solution obtained by the radial basis function employed in DRM. The procedure has the advantage of eliminating domain integration. The proposed method is tested through two numerical examples that confirm its efficiency and accuracy.

KW - Dual reciprocity

KW - Finite elasticity

KW - Fundamental solution

KW - Meshless method

UR - https://www.scopus.com/pages/publications/84860543272

U2 - 10.1016/j.enganabound.2012.04.002

DO - 10.1016/j.enganabound.2012.04.002

M3 - Article

AN - SCOPUS:84860543272

SN - 0955-7997

VL - 36

SP - 1473

EP - 1477

JO - Engineering Analysis with Boundary Elements

JF - Engineering Analysis with Boundary Elements

IS - 10

ER -

DRM - MFS for two-dimensional finite elasticity

Abstract

Keywords

ASJC Scopus subject areas

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