A NUMERICAL GREENS-FUNCTION APPROACH FOR BOUNDARY ELEMENTS APPLIED TOFRACTURE-MECHANICS

Citation
Jcf. Telles et al., A NUMERICAL GREENS-FUNCTION APPROACH FOR BOUNDARY ELEMENTS APPLIED TOFRACTURE-MECHANICS, International journal for numerical methods in engineering, 38(19), 1995, pp. 3259-3274
Citations number
22
Categorie Soggetti
Computer Application, Chemistry & Engineering",Engineering,Mathematics
ISSN journal
00295981
Volume
38
Issue
19
Year of publication
1995
Pages
3259 - 3274
Database
ISI
SICI code
0029-5981(1995)38:19<3259:ANGAFB>2.0.ZU;2-D
Abstract
The most accurate boundary element formulation to deal with fracture m echanics problems is obtained with the implementation of the associate d Green's function acting as the fundamental solution. Consequently, t he range of applications of this formulation is dependent on the avail ability of the appropriate Green's function for actual crack geometry. Analytical Green's functions have been presented for a few single cra ck configurations in 2-D applications and require complex variable the ory. This work extends the applicability of the formulation through th e introduction of efficient numerical means of computing the Green's f unction components for single or multiple crack problems, of general g eometry, including: the implementation to 3-D problems as a future dev elopment. Also, the approach uses real variables only and well-establi shed boundary integral equations.