Ph. Wen et al., AN INDIRECT BOUNDARY-ELEMENT METHOD FOR 3-DIMENSIONAL DYNAMIC FRACTURE-MECHANICS, Engineering analysis with boundary elements, 16(4), 1995, pp. 351-362
Indirect boundary element methods (fictitious load and displacement di
scontinuity) have been developed for the analysis of three-dimensional
elastostatic and elastodynamic fracture mechanics problems. A set of
boundary integral equations for fictitious loads and displacement disc
ontinuities have been derived. The stress intensity factors were obtai
ned by the stress equivalent method for static loading. For dynamic lo
ading the problem was studied in Laplace transform space where the num
erical calculation procedure, for the stress intensity factor K-I(p),
is the same as that for the static problem. The Durbin inversion metho
d for Laplace transforms was used to obtain the stress intensity facto
rs in the time domain K-I(t). Results of this analysis are presented f
or a square bar, with either a rectangular or a circular crack, under
static and dynamic loads.