Powder compaction mechanical model for diffusion coupled with stress field

An analytical model was developed to investigate the coupled effects of stress field and surface diffusion bonding during powder compaction taking elastic contact stress distribution as the initial condition. The stress function including the term of surface energy is introduced for describing the surface diffusion evolution and its influence on stress distributions. Simultaneously, stress-induced chemical potential gradients may promote (or impede) diffusion bonding. Effects of external load amplitude, temperature and stress distribution along the bond interface are obtained using the present model. The results showed the effect of initial bonded width and stress distributions in the cases of adhesional and un-adhesional contact, respectively. Furthermore, the powder densification process was analyzed under the initial condition of stress distribution derived from elastic contact with adhesion.