2007
DOI: 10.1016/j.matdes.2005.12.011
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Effect of natural boundary conditions on the upper-bound analysis of upset forging of ring and disks

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Cited by 10 publications
(8 citation statements)
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“…(24), (25), (27), and (28) can be carried out in terms of elementary functions, which significantly facilitates further numerical integration with respect to ζ.…”
Section: Plastic Work Ratementioning
confidence: 99%
See 1 more Smart Citation
“…(24), (25), (27), and (28) can be carried out in terms of elementary functions, which significantly facilitates further numerical integration with respect to ζ.…”
Section: Plastic Work Ratementioning
confidence: 99%
“…Solutions based on the velocity field proposed in [18] have been derived in [19,20]. Other upper bound solutions for axisymmetric ring forging have been given in [21][22][23][24]. An upper bound solution for ring upsetting between rotating dies has been proposed in [25].…”
Section: Introductionmentioning
confidence: 99%
“…Meanwhile, the constraint on surface traction or force condition due to friction existing on interfacial frictional interface, which, we believe, would also affect metal flow in upset forging of ring or disk as experimentally observed in [1,2,[11][12][13][14], has never been appropriately taken into consideration unless a variational approach is involved to derive it as reported in Refs. [15][16][17].…”
Section: Introductionmentioning
confidence: 99%
“…It was initially proposed by Yeh and Yang [18] and has been successfully applied to the problem of cup ironing [18], plane strain extrusion [19,20] and upset forging of ring or disk [15][16][17]. In the forgoing cited articles where the VUB method was applied, an upper-bound energy dissipation equation has been established as a functional of the velocity field, assumed as an implicit function in prior, and then extremized using the technique of variational calculus in an attempt to derive an equilibrium equation along with a set of associated boundary condition of the velocity field.…”
Section: Introductionmentioning
confidence: 99%
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