2005
DOI: 10.1016/j.jmatprotec.2005.06.007
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A variational upper-bound method for analysis of upset forging of rings

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Cited by 19 publications
(26 citation statements)
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“…(16)- (19) are still valid for this case, but the natural ones, as shown in Eqs. (14) and (15) reflecting the interfacial friction conditions, must be replaced by …”
Section: Variational Approachmentioning
confidence: 99%
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“…(16)- (19) are still valid for this case, but the natural ones, as shown in Eqs. (14) and (15) reflecting the interfacial friction conditions, must be replaced by …”
Section: Variational Approachmentioning
confidence: 99%
“…(1) and (2) are of kinematically admissible, and the means used for the purpose of minimization is based on the ordinary calculus. The upper-bound solution determined in this way does not account for the natural boundary conditions of the velocity field as considered in Yeh and Yang [3][4][5] and Yeh and Wu [14]. In the work of Yeh and Yang [3][4][5], the method that uses a variational approach to aim at determining the upper-bound solution is proposed, and is termed the variational upperbound (VUB) method.…”
Section: Introductionmentioning
confidence: 99%
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“…Chandra and Srivastava [27] investigated the axisymmetric upsetting by using boundary element analysis to evaluate the ring compression test results. Yeh and Wu [28] studied the upsetting of rings. They used a variational upper-bound (VUB) model which was neglected in the traditional upper bound method to predict the barrelling profile of the upset ring and also the total forming energy rate.…”
Section: Introductionmentioning
confidence: 99%
“…5 When the ring specimen is compressed under a fixed condition, the ring will produce an interface from which the metal flows to both inside and outside directions. A study using the indefinite integrals upper bound method in the ring compression process shows that the method can clearly give natural boundary conditions which conventional method neglects, 6 and accurately predicts the interface position and deformation law of billet shape in the compression process.…”
Section: Introductionmentioning
confidence: 99%