A formability analysis for the tube-hydroforming process was investigated in the present study. The relationship between hydraulic pressure, outer corner radius of the deformed tube, the tube thickness and the tube yield stress was established based on a proposed theoretical model. Another theoretical model was also developed to calculate the die force generated in the tube-hydroforming process under frictionless condition. In order to validate the theoretical models developed, the two-dimensional finite element simulations were performed as well. The values predicted according to the proposed theoretical models are found to agree very well with those obtained from the finite element simulation results.
A yield criterion and the associated flow rule for the powdered metal compaction was proposed in the present study. In the proposed yield criterion, both the bulk movement and the consolidation of powdered metal in the compaction process were considered. In order to reflect the effect of volume change in the powder deformation, the first invariant of the stress tensor was added in the proposed yield criterion. Some previous yield criteria suggested for bulk materials were also evaluated in the present study to investigate the possible yield locus for the powder compaction. Material constants were introduced in the proposed yield criterion and the experimental procedures for the determination of these material constants were established. The states of stress predicted by the proposed yield criterion for the deformation of powder in the compaction process were compared with those obtained from the triaxial compaction test. The good agreement between the predicted values and the experimental results confirms the validity of the proposed yield criterion.
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