Based on the theory of dynamic spherical cavity expansion, the model of the petaling penetration at low speed and the round hole penetration at high speed were established to describe the penetration by the grooved-tapered projectile and the penetration depths were calculated using the models. Our results indicate that the error of the penetration depth between the theoretical calculation and the experimental data is less than 11% when the initial velocity is below 1000 m/s, and this error reaches about 20% when the initial velocity is above 1 000 m/s. Comsidering the experimental error caused by the separated targets, we believe that the models can be used to predict the penetration depth for the grooved-tapered projectile penetrating concrete targets.
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