Abstract
A new numerical technique for evaluating the stress intensity factor (SIF) of arbitary 3-D crack is proposed in this paper. This method is based on the solution of an elliptical crack in infinite elastic body under Mode I loading. In an elliptical crack, partial SIFs, KIσ and KIω, are derived by fitting the near tip stress and displacement, respectively, distribution in a certain direction to the definition of SIF in plane strain state. A complete SIF, KI, is calculated with KIσ and/or KIω in some arbitrary directions. Because the local front of an arbitary 3-D crack can be approximated by a part of an ellipse, KI for an arbitrary crack can be calculated approximately by the same technique. These KI's calculated in some directions include the residual, and need to be evaluated by the value of these residuals. Selected the direction that this value is minimum, a calculated KI can be optimized. This paper shows some example calculated by this method.
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