An Upper-Bound Solution for Tube Cropping

1985 ◽  
Vol 107 (4) ◽  
pp. 365-371
Author(s):  
R. S. Rao ◽  
P. K. Wright
Keyword(s):  
Upper Bound ◽  
Plastic Hinge ◽  
Numerical Differentiation ◽  
Strain Theory ◽  
Deformation Pattern ◽  
Plastic Hinges ◽  
Bound Solution ◽  
Upper Bound Solution ◽  
Collapse Mode ◽  
Thin Walled

An upper-bound solution for the cropping of thin-walled tubes is developed, based on a plastic hinge approach, to predict the load-deflection behavior up to the point of shearing. A simple strain theory is used to estimate the deflection at the maximum cropping load. A deformation pattern (collapse mode) is proposed consisting of plastic hinges and then, for any given deflection, the associated plastic work is calculated. Subsequently, the cropping load is estimated by numerical differentiation with respect to the deflection. Comparisons are made with experiment.

A Control Strategy and Upper Bound Solution for Non-Flat Tool Open Die Forging Automation

1999 ◽  
Author(s):  
T. J. Nye
Keyword(s):  
Control Strategy ◽  
Upper Bound ◽  
Sequence Generation ◽  
Bound Solution ◽  
Upper Bound Solution ◽  
Die Forging ◽  
Strategy Model ◽  
Model Predictions ◽  
Open Die Forging ◽  
Good Agreement

Abstract The open die forging process can provide a number of benefits if its costs can be made competitive through automation. This paper describes a control strategy for automated open die forging forming sequence generation. An upper bound solution for forging with radiused tools is developed, along with a method for using this solution to estimate forming results, a necessary component of the control strategy. Model predictions are compared to physical experimental data using plasticine, and show good agreement.

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