Additive manufacturing processes as the ones based on the binder jetting method allow fabricating green metal parts with complex geometry. These parts are next debinded and sintered. Extensive shrinkage occurs during sintering which you should be accurately controlled so as to obtain net-shape components. Several phenomena can lead to non self-similar shrinkage during sintering among them slumping i.e. creeping under gravity may be particularly severe for complex parts. Predicting such slumping requires using numerical modelling. For this purpose a constitutive equation for the sintering of 316L stainless steel compacts fabricated by the Digital Metal process has been adjusted from the results of dilatometry tests with and without load. This equation has next been implemented in a finite element code. The sintering of a reference part including a free-to-slump beam has finally been simulated to verify the relevance of the model by comparison with the deformation of the real part.