This lecture covers the shock response modeling of brittle materials, including the Mohr-Coulomb model and the Extended Mohr-Coulomb model. It discusses the behavior of ceramics under increasing impact velocities, the concept of spall strength, and the evaluation of spall signals. The lecture also delves into the shear failure mechanisms, the incubation and growth of shear fractures, and the properties of ceramics at different shock pressures. Furthermore, it explores the effects of confinement on the failure strength of ceramics, the dynamic crack propagation, and the influence of strain rate on the failure strength of brittle materials.