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| Longitudinal Stress Wave Propagations in an Elastic SHPB Specimen and the Resulted Transverse Additional Stress |
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Abstract Using the Rayleigh-Love bar theory which considers the lateral inertia effect, the elastic wave propagations in an elastic specimen under the split Hopkinson pressure bar (SHPB) loading was analyzed. By using the Laplace transform and inverse transform technique, the analytical solutions for deformation, velocity, strain, and stress inside the specimen were obtained. Through numerical calculation, the time histories of the longitudinal stress and the transversal additional stress (TAS) were evaluated for different loading parameters. Calculations show that: near the specimen/incident bar interface, TAS generated by the initial wave loading is the largest, which can reach 12% of the incident wave height; in a majority specimen length, TAS caused by the longitudinal stress wave propagation is 4~6% of the incident wave height; Larger Poisson’s ratio or lower bar/specimen impedance ratio results in higher TAS; the rise time of the incident wave and the aspect ratio of the specimen has little effect on TAS.
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Received: 06 May 2023
Published: 27 December 2023
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2023, Vol. 44 
