Prediction of incipient shear band trajectories in a thick wall cylinder explosion test

Abstract

A simple but precise and physical mechanism-based mathematical expression is proposed to predict shear band trajectories in thick wall cylinders subject to external surrounding pressure. The expression is based on the Coulomb-Mohr fracture criterion and can be applied to various compression-sensitive materials, especially ceramics. The predicted result closely matches the experimental observations, which makes this method quite useful in testing material behavior. This expression also permits the extraction of the parameter μ in the Coulomb-Mohr criterion from experimental observations. Furthermore, no pre-assumptions or after-test measurement are necessary in order to carry out the prediction. The only two values needed to conduct the prediction are the initial inner radius and the friction coefficient μ. A comparison between the newly proposed model and existing theory is made to reveal their relations and demonstrate the effectiveness of the newly derived mathematical expression.

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