A model of the mechanics of shear-crack propagation in tearing for amorphous metals I. Critical shear stress for inhomogeneous flow

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Abstract
A model of the mechanics of shear-crack propagation in tearing is proposed, from which the critical shear stress (τ) of inhomogeneous flow of an amorphous metal can be determined. Rivlin and Thomas energy-balance approach for the tear energy (γ) associated with shear-crack extension, combined with the two assumptions of a slip-hand separation mode of an ideal elastic-plastic solid and a constant applied force criterion for tearing, provide a basis for the new formula Γ/2 = τt, where t is the plate thickness. Predictions based on the proposed mechanics have been experimentally validated. The tear energy measured for an amorphous Pd80Si20 alloy was found to he proportional to the plate thickness. The deformation mode ahead of a shear-crack tip on the specimen surface appears as a single shear band. The characteristics of the derived critical shear stress are discussed in terms of yield criteria.

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