porous materials during the inelastic work of the squeezed skeleton, monolithic крепь, vertical development, the intense deformed state.

The mathematical model describing the intense deformed state monolithic is constructed fix a vertical mine trunk for materials with porous structure which squeezed skeleton possesses the strengthened elasto-plastic properties. Deformation of the porous environment under the influence of the set evenly distributed squeezing loadings is divided into two interconnected stages: elastic deformation of the porous environment and inelastic deformation of the squeezed matrix. A problem of finding of the intense deformed state fix vertical development with a circular form of cross section at each stage of deformation decides within the flat deformed state. Thus the effects connected by that development has final depth aren’t considered. The ratios defining fields of tension and movements at the first stage of deformation are received. Dependence of loadings at which initial porosity of material reaches in all area is defined fix zero value. At the second stage analytical expressions for finding of the intense deformed states in elastic and plastic zones of deformation of the squeezed skeleton are removed, and the equation for definition of elasto-plastic border is also received. Thus as conditions of compatibility continuity conditions a component of tension and movements on elasto-plastic border, and also equality to zero plastic deformations on it got out. The assessment of influence on the size of limit of the section of environments of elastic and plastic deformation of initial porosity and a limit of fluidity of material is given. Schedules of dependences a component of tension from coordinate are constructed at various values of size of initial solution of a time and other physicomechanical and geometrical parameters of material and a design

1. Gotsev Dmitry Viktorovich professor of chair of mechanics and computer modeling, the doctor of physical and mathematical sciences, the associate professor, Voronezh Sstate University, Voronezh

2. Buntov Alexey Evgenyevich the graduated in a military academy, the Air Force Military educational scientific center "Military and air academy of professor N. E. of Zhukovsky and Yu.A. Gagarin Voronezh

3. Perunov Nikolay Sergeyevich the student 4 courses of faculty of applied mathematics, information scientists and mechanics, Voronezh state university, Voronezh