A homogenization approach to the yield strength of spherical powder compacts

Optimal external estimates of the macroscopic strength criteria of a hexagonal array of identical spherical grains, under isostatic and closed die compaction, have been obtained through the use of the kinematic approach of the yield design homogenization method. Two appropriate unit cells, one for each stage compaction (I and II), and eight relevant failure mechanisms are considered. For comparison purposes, numerical simulations based on FEA similar to those of Ogbana and Fleck [1] have also been carried out. The shapes and sizes of the macroscopic yield surfaces are determined at various stages of compaction and it has been found in particular that they depend upon the loading history as well as the relative density of the compact.