An Upper Bound Solution for a Two-Layer Cylinder Subject to Compression and Twist |
| Journal |
Key Engineering Materials (Volumes 345 - 346) |
| Volume |
The Mechanical Behavior of Materials X |
| Edited by |
S.W. Nam, Y.W. Chang, S.B. Lee and N.J. Kim |
| Pages |
37-40 |
| DOI |
10.4028/www.scientific.net/KEM.345-346.37 |
| Online since |
August, 2007 |
| Authors |
Gow Yi Tzou,
Sergei Alexandrov
|
| Keywords |
Limit Load, Maximum Friction Law, Singular Velocity Field, Twist, Two-Layer Cylinder |
| 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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