Model of a plastically compressible material and its application to the analysis of the compaction of a porous body

This paper considers a model of a plastically compressible porous medium with a cylindrical-type yield condition and its associated constitutive relations, which ensure independent mechanisms of shear and compaction of the porous material. This allows one to use the well-known theorems of plastic theory to analyze plastically compressible media and obtain analytical solutions for a number of boundary-value problems, including those taking into account conditions on strong-discontinuity surfaces. Results from full-scale studies of the structural periodicity of noncompact materials using wavelet analysis were employed to choose a physical model for a porous body and determine the properties and dimensions of a representative volume. The problem of extrusion of a porous material through a conical matrix was solved.