High pressure is applied to concrete target by the projectile in hypervelocity penetration. Moreover,concrete material which undergoes large deformation is incompressible and can be depicted by liquidconstitutive model. The present work modifies the cavity expansion theory by characterizing theincompressibility with Bingham liquid constitutive model considering the viscosity of theincompressible material according to Cleja-Tigoiu’s work. The analytic expression for the relationshipbetween the pressure on the cavity boundary and the velocity of the cavity expansion is derived in thispaper. Then, the effects of material parameters in the modified model are studied, which is the basis ofthe calculation of the drag force in hypervelocity penetration. At last, some penetration depth results oflong rod impact concrete target on hypervelocity are predicted based on the modified model, which arein good agreement with the experiments.
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