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
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.