Boundary point method for linear elasticity using constant and quadratic moving elements

Hang Ma; Juan Zhou; Qing Hua Qin

doi:10.1016/j.advengsoft.2009.10.006

Boundary point method for linear elasticity using constant and quadratic moving elements

Hang Ma^*, Juan Zhou, Qing Hua Qin

^*Corresponding author for this work

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

8 Citations (Scopus)

Abstract

Based on the boundary integral equations and stimulated by the work of Young et al. [J Comput Phys 2005;209:290-321], the boundary point method (BPM) is a newly developed boundary-type meshless method enjoying the favorable features of both the method of fundamental solution (MFS) and the boundary element method (BEM). The present paper extends the BPM to the numerical analysis of linear elasticity. In addition to the constant moving elements, the quadratic moving elements are introduced to improve the accuracy of the stresses near the boundaries in the post processing and to enhance the analysis for thin-wall structures. Numerical tests of the BPM are carried out by benchmark examples in the two- and three-dimensional elasticity. Good agreement is observed between the numerical and the exact solutions.

Original language	English
Pages (from-to)	480-488
Number of pages	9
Journal	Advances in Engineering Software
Volume	41
Issue number	3
DOIs	https://doi.org/10.1016/j.advengsoft.2009.10.006
Publication status	Published - Mar 2010

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10.1016/j.advengsoft.2009.10.006

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title = "Boundary point method for linear elasticity using constant and quadratic moving elements",

abstract = "Based on the boundary integral equations and stimulated by the work of Young et al. [J Comput Phys 2005;209:290-321], the boundary point method (BPM) is a newly developed boundary-type meshless method enjoying the favorable features of both the method of fundamental solution (MFS) and the boundary element method (BEM). The present paper extends the BPM to the numerical analysis of linear elasticity. In addition to the constant moving elements, the quadratic moving elements are introduced to improve the accuracy of the stresses near the boundaries in the post processing and to enhance the analysis for thin-wall structures. Numerical tests of the BPM are carried out by benchmark examples in the two- and three-dimensional elasticity. Good agreement is observed between the numerical and the exact solutions.",

keywords = "Boundary integral equation, Boundary point method, Boundary-type meshless method, Fundamental solution, Linear elasticity, One-point computing, Quadratic moving element",

author = "Hang Ma and Juan Zhou and Qin, {Qing Hua}",

year = "2010",

month = mar,

doi = "10.1016/j.advengsoft.2009.10.006",

language = "English",

volume = "41",

pages = "480--488",

journal = "Advances in Engineering Software",

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publisher = "Elsevier Ltd.",

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TY - JOUR

T1 - Boundary point method for linear elasticity using constant and quadratic moving elements

AU - Ma, Hang

AU - Zhou, Juan

AU - Qin, Qing Hua

PY - 2010/3

Y1 - 2010/3

N2 - Based on the boundary integral equations and stimulated by the work of Young et al. [J Comput Phys 2005;209:290-321], the boundary point method (BPM) is a newly developed boundary-type meshless method enjoying the favorable features of both the method of fundamental solution (MFS) and the boundary element method (BEM). The present paper extends the BPM to the numerical analysis of linear elasticity. In addition to the constant moving elements, the quadratic moving elements are introduced to improve the accuracy of the stresses near the boundaries in the post processing and to enhance the analysis for thin-wall structures. Numerical tests of the BPM are carried out by benchmark examples in the two- and three-dimensional elasticity. Good agreement is observed between the numerical and the exact solutions.

AB - Based on the boundary integral equations and stimulated by the work of Young et al. [J Comput Phys 2005;209:290-321], the boundary point method (BPM) is a newly developed boundary-type meshless method enjoying the favorable features of both the method of fundamental solution (MFS) and the boundary element method (BEM). The present paper extends the BPM to the numerical analysis of linear elasticity. In addition to the constant moving elements, the quadratic moving elements are introduced to improve the accuracy of the stresses near the boundaries in the post processing and to enhance the analysis for thin-wall structures. Numerical tests of the BPM are carried out by benchmark examples in the two- and three-dimensional elasticity. Good agreement is observed between the numerical and the exact solutions.

KW - Boundary integral equation

KW - Boundary point method

KW - Boundary-type meshless method

KW - Fundamental solution

KW - Linear elasticity

KW - One-point computing

KW - Quadratic moving element

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U2 - 10.1016/j.advengsoft.2009.10.006

DO - 10.1016/j.advengsoft.2009.10.006

M3 - Article

SN - 0965-9978

VL - 41

SP - 480

EP - 488

JO - Advances in Engineering Software

JF - Advances in Engineering Software

IS - 3

ER -

Boundary point method for linear elasticity using constant and quadratic moving elements

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