Materials with primary orientation of physicomechanical properties are widely used in various areas of engineering, including as the equipment for the launch of projectiles, the projectiles and barrier. At the same time properties of such materials at intensive dynamic processes poorly studied. In work results of research of behaviour of anisotropic materials and designs are submitted at impact and pulse loads. For the description of the behaviour of anisotropic materials within the framework of the phenomenological approach the model which is taking into account distinctions in strength on compression and a stretching is offered. The model as allows carrying out researches with any orientation of properties of a material concerning system of coordinates. Numerical modeling is carried out in three-dimensional statement. The range of speeds of interaction up to 3000 m/sec is considered. Evolution of wave processes and destructions is investigated on orientation physicomechanical a material, kinematic and geometrical parameters. Orientations of properties providing optimum use of anisotropic materials are determined.