Abstract
Abstract In this paper the stationary value of the third stress invariant as a local fracture parameter is studied. The third stress invariant [ Det (σ ij ) ] is calculated along a circle around the crack-tip. This circle, which defines the core-region around the crack-tip, is the initial curve of the caustics. This distribution of the Det (σ ij ) presents a positive maximum. The crack propagates in the direction of the maximum value of the Det (σ ij ) and the fracture will initiate when the Det (σ ij ) on the core-region boundary reaches a critical maximum value which is a material property. This condition of initiation of the crack is proposed as Det.-criterion of fracture.
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