Structurally porous metal sandwich panels consisting of dense face sheets a
nd porous cores of controlled relative density can be manufactured by trapp
ing inert gas during hot isostatic pressing and modifying its distribution
via subsequent thermomechanical forming. A plane-strain solution for analyz
ing the open-die forging of such a plastically compressible sandwich panel
is developed. An effective yield potential for the face sheet/core sandwich
is constructed from the Mises yield criterion for the rigid-plastic face s
heet and Doraivelu et al's density-dependent yield function for the compres
sible core. This effective constitutive response is used in a classical "sl
ab" analysis of open-die forging. The analysis predicts the upsetting force
and the distributions of pressure, core relative density, and average stre
sses within both the face sheet and the core. During upsetting, a zone of f
ully constrained material (i.e., with zero lateral strain) is predicted to
occur at the center of the workpiece, and this densifies first. A densifica
tion front then advances laterally from the panel center toward the outer e
dges. The nonuniform densification complicates the use of forging for the p
roduction of components requiring a uniform density core.