The mathematical model proposed earlier by the author for materials tensor which is due to nonlinearity of plastic changes, loss of the internal relations and the accumulation of damage to the structure, shows the consent of the theory with experimental data, for example, gray cast iron. The model was not able to accurately reflect the peculiarity of aluminum and other materials, which are anomalously high values of the ratio of the transverse deformation at plastic strength. Mentioned alloys currently attract the attention of many scientists who give with the help of metallographic analysis convincing evidence of the fact that internal processes include mechanisms "self-healing " defects.The objective is to improve the original model for gelatinous plastic materials. The analysis of experimental researches have shown that the tensor nonlinearity these environments attributed to the strong dependence of the volume deformations and medium voltage, as the level of strain and stress. For their description from the original equations (Reiner) already allocated other equations for dilatancy. The latter, as a component of the volumetric strain, can be both positive and negative. This preserves the nonlinear coupling between the deviators. For more accurate descriptions of all the strains and stresses imposed additional options, since the dependence of the main characteristics and dilatancy of stress vary significantly. The material functions and all constants are defined makroelementa.It is shown that the parameter characterizing the process of self-organization patterns, is rapidly increasing function of the deformation. Changes also mean stress, reflecting the nonlinear growth of the number of additional connection with the decrease in volume deformations. It is possible to assume that such behavior of dilatancy in strain, close to destroy, can cause loss of balance between the dissipative process and the process of its self-organization and outwardly manifested, "running necks". The development of this theme can be not only useful for specialists dealing with the physics internal structural processes accompanying the plastic deformation, but also to attract achieve physicists on improvement of the developed model.