Ph. Wen et Th. Fan, THE DISCONTINUITY DISPLACEMENT METHOD APPLIED TO 3-DIMENSIONAL COPLANAR CRACK PROBLEM FOR ANY BOUNDARY-VALUE CONDITION, Engineering fracture mechanics, 48(5), 1994, pp. 691-702
The fundamental solution of discontinuity displacement for a three-dim
ensional problem is put forward by use of the Hankel transformation me
thod and then the accurate solutions of discontinuity displacement in
rectangular and triangular areas are obtained. One set of linear algeb
raic equations is given for arbitrary boundary values according to str
ess and displacement conditions on the crack surface, and a numerical
method for obtaining the stress intensity factor using crack surface d
iscontinuity displacements is established. It can be seen from many ca
lculation results that the degree of accuracy of this method (disconti
nuity displacement method, DDM) is very high even though the element n
umber is small. Combined with the boundary element method, this numeri
cal method can also solve the finite cracked body problem.