Open Access

ABSTRACT

An Analysis of Continued Plane Strain Compression by The Upper Bound Method

Sergei Alexandrov¹, Mustafa Yusof²

1 Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, Russia
2 Faculty of Mechanical Engineering, Universiti Teknologi Malaysia, Malaysia

The International Conference on Computational & Experimental Engineering and Sciences 2009, 10(1), 11-24. https://doi.org/10.3970/icces.2009.010.011

Abstract

An efficient method for quick analysis and design of a class of metal forming processes is proposed. The method is based on the upper bound theorem and deals with continued deformation. Its main advantage is that numerical minimization involved in the upper bound method and solving differential equations for updating the configuration of deforming material are uncoupled. It significantly reduces computation time. Even though the accuracy of the method is unknown in advance, a procedure for verifying its accuracy a posteriori is proposed. The method is applied to plane strain compression of a viscous layer between two rough, parallel plates. In particular, the shape of the free surface in course of deformation is determined and is compared to the shape that might be obtained by means of a typical sequential limit analysis. It is shown that the difference between the shapes is negligible. A consequence of this finding is that the difference between the loads calculated by means of these two methods is also negligible.

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Keywords

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