An Upper Bound Solution for a Two-Layer Cylinder Subject to Compression and Twist

Gow Yi Tzou; Sergei Alexandrov

doi:10.4028/www.scientific.net/KEM.345-346.37

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HomeKey Engineering MaterialsKey Engineering Materials Vols. 345-346An Upper Bound Solution for a Two-Layer Cylinder...

An Upper Bound Solution for a Two-Layer Cylinder Subject to Compression and Twist

Abstract:

The choice of a kinematically admissible velocity field has a great effect on the predictive capacity of upper bound solutions. It is always advantageous, in addition to the formal requirements of the upper bound theorem, to select a class of velocity fields satisfying some additional conditions that follow from the exact formulation of the problem. In the case of maximum friction law, such an additional condition is that the real velocity field is singular in the vicinity of the friction surface. In the present paper this additional condition is incorporated in the class of kinematically admissible velocity fields chosen for a theoretical analysis of two - layer cylinders subject to compression and twist. An effect of the angular velocity of the die on process parameters is emphasized and discussed.

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Key Engineering Materials (Volumes 345-346)

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37-40

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https://doi.org/10.4028/www.scientific.net/KEM.345-346.37

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Online since:

August 2007

Authors:

Gow Yi Tzou, Sergei Alexandrov

Keywords:

Limit Load, Maximum Friction Law, Singular Velocity Field, Twist, Two-Layer Cylinder

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