According to kinematic and geometric parameters of target stress loading, target destruction can be caused by cratering, spalling, etc. Simulation of various types of deformation should incorporate various deformation criteria. Elastic deformation of anisotropic material is described by the generalized Hooke’s law while plastic deformation is defined by the associated flow law. Mises-Hill condition with isotropic hardening is used as a condition of anisotropic material plasticity. In the paper, destruction of targets made of aluminum alloy 2024 by cylindrical steel projectiles is numerically simulated. Calculations are performed by finite element method in a three-dimensional setting within the continuum mechanics framework. Anisotropy of elastic, plastic, and strength properties of the target material is taken into account. Original software is used for calculations. It is demonstrated that stress-strain state of targets made of anisotropic materials has an ellipsoidal shape, when target stress loading is normal and axially symmetric projectiles are made of isotropic materials.