Rigid and eroding projectile penetration into concrete targets based on an extended dynamic cavity expansion model

•An extended dynamic cavity expansion model for projectile penetrating into concrete was proposed.•A unified 1D resistance of concrete target with considering projectile nose shape influences was formulated.•A series of practical parameters for hyperbolic yield criterion and Murnaghan EOS were given.•Both rigid and eroding projectile penetration models into concrete targets were established and verified. A hyperbolic yield criterion and Murnaghan equation of state were introduced to describe the plastic behavior of concrete material under projectile penetration, and an extended dynamic cavity expansion model was proposed. Then, a unified one-dimensional resistance of concrete target to projectile penetration was formulated, in which the projectile nose shape influences were taken into account by three non-dimensional coefficients. Furthermore, combined with the Newton's second law and Alekseevskii-Tate equations, both rigid and eroding projectile penetration models into concrete targets were established. By comparing with the existing tests data as well as prediction results of previous model based on the linear yield criterion and equation of state, the proposed models were verified. Besides, a series of practical parameters of hyperbolic yield criterion and Murnaghan EOS for the extended dynamic cavity expansion model were given and verified.