In this paper, three basic hypotheses are proposed, Many kinds of powder compaction equation have been regarding the eVects of porosity and work hardening proposed since 1923. 6 -9 Unfortunately, only a few of them on powder compaction for building a new pressureare supported by physical hypotheses on compaction mechdensity relation. After a short validation on some hard anisms. The most common hypothesis is that compactibility powders, complementary hypotheses are used for is proportional to residual porosity. generalising the density description as a function of This corresponds to the equation hydrostatic pressure and deviatory stress. The model is then tested using triaxial characterisations from dr ds = a(1 r) . . . . . . . . . . (1) another author. Lastly, it is shown that the modelling parameters, to which a physical meaning is given, canwhere s is the applied stress, r the relative density, and a be determined from two simple experiments, such as is a proportionality coeYcient. After integration, the applied isostatic compaction and die pressing. This represents a stress is then proportional to ln(1 r). Athy, 1 0 Shapiro drastic saving in time for characterising the compaction and KolthoV, 1 1 Torre, 1 2 and Heckel 1 3 -1 5 made this rst behaviour of hard powder.PM/0979 hypothesis at least implicitly. Athy 1 0 used it on hard powders (shale), while Heckel 1 3 -1 5 proposed his relation while At the time the work was carried out the author was working on iron, steel, nickel, copper, and tungsten powders. at the Centre Europe ´en de Recherche en Me ´tallurgie des A consequence of this assumption (after integration) is Poudres,
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