In monograph the dynamic phenomena in a continuum is considered. Different mathematical models for study the behaviors both of interaction media under action of dynamic and electromagnetic influence is proposed. The comparison of different models and experimental results are brought. It is shown the regions of applicability and characteristic peculiarities for each model. It is also shown the influence of the anisotropic properties on the dynamic phenomena, particularly the problem of optimization of an anisotropic media is solved. The theoretical principles for a fragile destruction of a media are offered. Theoretically it is shown the influence of a revolution on the penetration depth of the indenter. The monograph can be useful for scientists specializing in the field of dynamic continuous media, also for students and for post-graduate of according specialties.