Based on the cylindrical cavity expansion theory,a plastic-damage-elastic model is proposed for the penetration problem of geo-material.In the model,the unified strength criterion (Yu,1991) is adopted as the failure criterion.The distributions of the radial stress and velocity are analyzed.According to the Newton's second law,a series results of the final penetration depth and the impedance load are obtained to different parameter b,when a rigid projectile normally impacts and penetrates a semi-infinite geo-material target with an impact velocity of 300-1 200 m/s.By comparing with the test data available,it appears that the method can be used in analyzing the final depth and the impedance load of a rigid projectile penetrating into a semi-infinite target with different impact velocities.