Coupling of the boundary element method and the scaled boundary finite element method for computations in fracture mechanics

S.R. Chidgzey, J. Trevelyan, Andrew Deeks

Research output: Contribution to journalArticle

21 Citations (Scopus)

Abstract

This paper introduces an algorithm for coupling the boundary element method and the scaled boundary finite element method. Although the particular application concerns the determination of stress intensity factors at crack tips, the approach is general in nature. The motivation for the work is the combination of the semi-analytical solution accuracy of the SBFEM with the geometric flexibility of the BEM for general engineering usage. The paper presents the development of the algorithm along similar lines to FEM/BEM coupling approaches. Example problems verify the accuracy of the approach, even for coarse discretisations, and demonstrate excellent convergence properties of the algorithm.
Original languageEnglish
Pages (from-to)1198-1203
JournalComputers & Structures
Volume86
Issue number11-12
DOIs
Publication statusPublished - 2008

Fingerprint

Scaled Boundary Finite-element Method
Insulator Elements
Fracture Mechanics
Boundary element method
Fracture mechanics
Boundary Elements
Finite element method
Crack Tip
Stress Intensity Factor
Stress intensity factors
Crack tips
Convergence Properties
Analytical Solution
Discretization
Flexibility
Verify
Engineering
Line
Demonstrate

Cite this

Chidgzey, S.R. ; Trevelyan, J. ; Deeks, Andrew. / Coupling of the boundary element method and the scaled boundary finite element method for computations in fracture mechanics. In: Computers & Structures. 2008 ; Vol. 86, No. 11-12. pp. 1198-1203.
@article{c72a61ffa2904613b836883bfa4b2d5f,
title = "Coupling of the boundary element method and the scaled boundary finite element method for computations in fracture mechanics",
abstract = "This paper introduces an algorithm for coupling the boundary element method and the scaled boundary finite element method. Although the particular application concerns the determination of stress intensity factors at crack tips, the approach is general in nature. The motivation for the work is the combination of the semi-analytical solution accuracy of the SBFEM with the geometric flexibility of the BEM for general engineering usage. The paper presents the development of the algorithm along similar lines to FEM/BEM coupling approaches. Example problems verify the accuracy of the approach, even for coarse discretisations, and demonstrate excellent convergence properties of the algorithm.",
author = "S.R. Chidgzey and J. Trevelyan and Andrew Deeks",
year = "2008",
doi = "10.1016/j.compstruc.2007.11.007",
language = "English",
volume = "86",
pages = "1198--1203",
journal = "Computers & Structures",
issn = "0045-7949",
publisher = "Elsevier",
number = "11-12",

}

Coupling of the boundary element method and the scaled boundary finite element method for computations in fracture mechanics. / Chidgzey, S.R.; Trevelyan, J.; Deeks, Andrew.

In: Computers & Structures, Vol. 86, No. 11-12, 2008, p. 1198-1203.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Coupling of the boundary element method and the scaled boundary finite element method for computations in fracture mechanics

AU - Chidgzey, S.R.

AU - Trevelyan, J.

AU - Deeks, Andrew

PY - 2008

Y1 - 2008

N2 - This paper introduces an algorithm for coupling the boundary element method and the scaled boundary finite element method. Although the particular application concerns the determination of stress intensity factors at crack tips, the approach is general in nature. The motivation for the work is the combination of the semi-analytical solution accuracy of the SBFEM with the geometric flexibility of the BEM for general engineering usage. The paper presents the development of the algorithm along similar lines to FEM/BEM coupling approaches. Example problems verify the accuracy of the approach, even for coarse discretisations, and demonstrate excellent convergence properties of the algorithm.

AB - This paper introduces an algorithm for coupling the boundary element method and the scaled boundary finite element method. Although the particular application concerns the determination of stress intensity factors at crack tips, the approach is general in nature. The motivation for the work is the combination of the semi-analytical solution accuracy of the SBFEM with the geometric flexibility of the BEM for general engineering usage. The paper presents the development of the algorithm along similar lines to FEM/BEM coupling approaches. Example problems verify the accuracy of the approach, even for coarse discretisations, and demonstrate excellent convergence properties of the algorithm.

U2 - 10.1016/j.compstruc.2007.11.007

DO - 10.1016/j.compstruc.2007.11.007

M3 - Article

VL - 86

SP - 1198

EP - 1203

JO - Computers & Structures

JF - Computers & Structures

SN - 0045-7949

IS - 11-12

ER -