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The 3‐D BEM implementation of a numerical Green's function for fracture mechanics applications
Author(s) -
Castor G. S.,
Telles J. C. F.
Publication year - 2000
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/(sici)1097-0207(20000720)48:8<1199::aid-nme944>3.0.co;2-7
Subject(s) - boundary element method , green's function , function (biology) , fracture mechanics , simple (philosophy) , boundary (topology) , green s , mathematics , fracture (geology) , boundary value problem , numerical analysis , computer science , calculus (dental) , finite element method , geometry , mathematical analysis , engineering , structural engineering , medicine , philosophy , epistemology , dentistry , evolutionary biology , biology , geotechnical engineering
The use of Green's functions has been considered a powerful technique in the solution of fracture mechanics problems by the boundary element method (BEM). Closed‐form expressions for Green's function components, however, have only been available for few simple 2‐D crack geometry applications and require complex variable theory. The present authors have recently introduced an alternative numerical procedure to compute the Green's function components that produced BEM results for 2‐D general geometry multiple crack problems, including static and dynamic applications. This technique is not restricted to 2‐D problems and the computational aspects of the 3‐D implementation of the numerical Green's function approach are now discussed, including examples. Copyright © 2000 John Wiley & Sons, Ltd.