Abstract
The mathematical model describing process of deformation monolithic is constructed fix a vertical excavation for materials with porous structure which squeezed skeleton possesses at the same time elastic, viscous and 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 the squeezing loadings at which initial porosity of material in all area fix is defined reaches zero value. At the second stage of process of deformation analytical expressions for finding of fields of tension and movements in elastic and plastic zones of deformation of the squeezed skeleton are removed, and the equation for determination of radius of elasto-plastic border is also received. 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, hardening and a limit of fluidity of material is given. The asymptotic behavior of elasto-plastic border is shown over time. Graphic 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. Keywords: porous materials, during the inelastic work of the squeezed skeleton, monolithic strengthening design, vertical development, the intense deformed state.
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