A spherical cavity expansion theory of concrete considering voids compacted effects

Based on the dynamic response characteristic of concrete, the dynamic response of spherical cavity expansion for conventional projectile velocity is divided into three regions, i.e. elastic, cracked and voids compacted regions. The constitutive description of voids compacted region idealized pressure-volumetric strain as bilinear compressible and idealized shear strength pressure as Mohr-Coulomb criterion with a tension cutoff. The dynamic response expression of spherical cavity expansion is derived by similarity methods; and the dynamic response numerical solution is given by Runge-Kutta-Felbberg numerical method. The results show that the predictions from the penetration model based on the theory are consistent with experiment data.