16
Views
2
CrossRef citations to date
0
Altmetric
Original Articles

A complex variable boundary element method for antiplane stress analysis around a crack in some nonhomogeneous bodies

Pages 753-761 | Received 09 Jun 1999, Accepted 06 Aug 1999, Published online: 03 Mar 2011

References

  • Aliabadi , M.H. and Rooke , D.D. 1991 . Numerical Fracture Mechanics , Southampton : Computational Mechanics Publications .
  • Ang , W.T. 1987 . “A Boundary Integral Equation for Deformations of an Elastic Body with an Arc Crack,” . Quarterly of Applied Mathematics , 45 : 131 – 139 .
  • Ang , W.T. “A Hypersingular‐boundary Integral Equation Method for a Class of Multiple Interacting Crack Problems,” . Computational Engineering: Proceedings of the First Pan‐Pacific Conference on Computational Engineering . Seoul, Korea. Elsevier Science .
  • Ang , W.T. and Clements , D.L. 1987 . “A Boundary Integral Equation Method for the Solution of a Class of Crack Problems,” . Journal of Elasticity , 17 : 9 – 22 .
  • Ang , W.T. , Clements , D.L. and Cooke , T. 1999 . “A Hypersingular Boundary Integral Equation for a Class of Antiplane Multiple Crack Problems for Inhomogeneous Elastic Materials,” . Communications in Numerical Methods in Engineering , 15 : 183 – 191 .
  • Ang , W.T. , Clements , D.L. and Cooke , T. 1999 . “A Complex Variable Boundary Element Method for a Class of Boundary Value Problems in Anisotropic Thermoelasticity,” . International Journal of Computer Mathematics , 70 : 571 – 586 .
  • Ang , W.T. , Clements , D.L. and Dehghan , M. 2000 . “CVBEM for a Class of Linear Crack Problems,” . Mathematics and Mechanics of Solids , (accepted for publication)
  • Ang , W.T. and Park , Y.S. 1998 . “CVBEM for a System of Second‐order Elliptic Partial Differential Equations,” . Engineering Analysis with Boundary Elements , 21 : 179 – 184 .
  • Chen , W.H. and Chen , T.C. 1995 . “An Efficient Dual Boundary Element Technique for a Two‐dimensional Fracture Problem with Multiple Cracks,” . International Journal for Numerical Methods in Engineering , 38 : 1739 – 1756 .
  • Clements , D.L. 1981 . Boundary Value Problems Governed by Second Order Elliptic Systems , London : Pitman .
  • Clements , D.L. and Haselgrove , M. 1983 . “A Boundary Integral Equation for a Class of Crack Problems in Anisotropic Elasticity,” . International Journal of Computer Mathematics , 12 : 267 – 278 .
  • Denda , M. and Dong , Y.F. 1997 . “Complex Variable Approach to the BEM for Multiple Crack Problems,” . Computer Methods in Applied Mechanics and Engineering , 141 : 247 – 264 .
  • Hromadka , T.V. II and Lai , C. 1987 . The Complex Variable Boundary Element Method in Engineering Analysis , New York and Berlin : Springer‐Verlag . 1987.
  • Kaya , A.C. and Erdogan , F. 1987 . “On the Solution of Integral Equations with Strongly Singular Kernels.” . Quarterly of Applied Mathematics , 45 : 105 – 122 .
  • Linkov , A.M. and Mogilevskaya , S.G. 1994 . “Complex Hypersingular Integrals and Integral Equations in Plane Elasticity,” . Acta Mechanica , 105 : 189 – 205 .
  • Linkov , A.M. and Mogilevskaya , S.G. 1997 . “On the Theory of Complex Hypersingular Integral Equations,” . In Computational Mechanics 95: Theory and Applications , Edited by: Atluri , S. N. , Yagawa , G. and Cruse , T. A. Southampton : Computational Mechanics Publications .
  • Linkov , A.M. and Mogilevskaya , S.G. 1998 . “Complex Hypersingular BEM in Plane Elasticity Problems,” . In Singular Integrals in Boundary Element Methods , Edited by: Sladek , V. and Sladek , J. Southampton : Computational Mechanics Publications .
  • Snyder , M.D. and Cruse , T.A. 1975 . “Boundary Integral Analysis of Cracked Anisotropic Plates,” . International Journal of Fracture , 11 : 315 – 328 .
  • Telles , J.C.F. , Barra , L.P.S. and Guimaraes , S. “A Hypersingular Numerical Green's Function Generation for BEM Applied to General Fracture Mechanics Problems‐elastodynamics,” . BEM XIX: Proceedings of the 19th World Conference on the Boundary Element Method . Edited by: Machetti , M. , Brebbia , C. A. and Aliabadi , M. H. Southampton : Computational Mechanics Publications .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.