A new three-dimensional finite element model for the simulation of powder forging processes: application to hot forming of P/M connecting rod

In powder metallurgy (P/M) the forming of industrial artifacts requires consolidation of loose powder into dense material leading to near-to-net shape components. In order to realize the economic advantages of the near-to-net shape formation, it is essential to understand the mechanical behaviour of powder deforming domain. The conventional P/M forming process consists of di¤erent stages such as closed cold die compaction, sintering and hot/cold forging. In the present study a Þnite element based computational model has been formulated to study the hot forging stage with particular reference to forging of P/M connecting rods. In order to achieve this purpose, a new Þnite element formulation has been developed to model the powder deformation under a given thermo-mechanical loading. Essentially, the computational model is formulated based on a visco-plastic Green type material model considering an independent idealization of strain rates into a total deformation part and a dilatational part, and the yield criterion takes into account the pressure sensitivity. The model is set in a perturbed Lagrangian functional, leading to a three Þeld mixed formulation with velocity, Lagrangian multiplier/pressure and volumetric strain rates as three basic unknowns in the Þnite element domain. The developed Þnite element model can be used right from the compressible domain to the incompressible domain with the Lagrangian multiplier becoming then the pressure. A relative density-dependent visco-plastic type of friction law is used for characterizing the friction behaviour between the powder preform and the die. The required various material parameters are determined from experiments on aluminium powder preforms. In order to facilitate the non-isothermal deformation study, a powder-based transient thermal analysis has been developed. A computational scheme has been used to couple the mechanical and thermal calculations. Using the developed three-dimensional code, hot forging of automotive components can be simulated and which in the present study is exempliÞed by simulation of hot forging of a P/M connecting rod.