169ABSTRACT Material responses and fracture criteria relevant to the description of spallation phenomena are reviewed. The state of the material at the instant of fracture is an important part of a fracture criterion. The stress state associated with plane strain is described, and the effect of the initial conditions and the time dependent conditions of the material on spallation are discussed. The important quantities in any fracture criterion are the applied stress state, the size of the critically stressed region, the critical value of stress at which fracture begins, and the critical crack velocity. Stress gradient and cumulative damage spall-criteria are discussed in relation to these more fundamental quantities. Finally, some experiments are suggested that would isolate important parameters of the spallation process.