Ea. Olevsky et al., THE PERMEABLE ELEMENT METHOD FOR MODELING OF DEFORMATION PROCESSES INPOROUS AND POWDER MATERIALS - THEORETICAL BASIS AND CHECKING BY EXPERIMENTS, Powder technology, 93(2), 1997, pp. 127-141
The permeable element method (PEM), as the development of an arbitrary
Eulerian-Lagrangian finite element approximation, intended for the de
scription of densification of porous bodies, is elaborated. The Euleri
an frame of reference, for which the material movement is independent
of the movement of a discretizing network, is the basis for the consid
eration of the deformation process. The shape of the elements and netw
ork movement are deliberately determined from the point of view of con
venience for the analysis of the calculation results. Using the PEM, t
he pressing of hollow cylinders in a rigid die is considered. The comp
uted spatial density distributions are compared with the experimental
data obtained, using quantitative metallography analysis. The problem
of pressing an article of a stepped shape is solved. The peculiarities
of material flow and density distributions are discussed.