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A Bueckner singular displacement field is incorporated into the boundary element method in order to calculate weight functions for mixed mode stress intensity factor in a two-dimensional cracked body. Weight functions for modes I and II can be calculated independently and hence the factors K~ and KI~" can be obtained for any arbitrary loading on any boundary. Results are obtained for some slant crack problems in finite sheets and compared with known results where available.

The strain-energy release rate is determined for an edge crack in a uniformly stressed bar o f circular cross-section. Values o f the strain-energy release rate, obtained using a finite-element representation o f the bar and by measuring the compliance of the bar experimentally, are shown to be in close agreement. For crack depths of less than one-half diameter. the strain-energy release rates are found to be lower than existing results on rectangular bars having the same relative crack length. / Crack P A a =t t i t t 7