Model of a plastically compressible material and its application to the analysis of the compaction of a porous body
A. G. Zalazinskii and A. P. Polyakov
Institute of Mechanical Engineering, Ekaterinburg 620219
Pages: 457-466
Abstract
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.
|
