An Upper Bound Solution for Continued Compression of a Cylinder

Abstract

A sequential upper bound method for the cylindrical compression test is developed. The method uses rigid and plastic regions to build up a kinematically admissible velocity field. A technique for calculating the power dissipation in continued compression is described. A numerical method is only necessary to evaluate ordinary integrals. An illustrative example presented shows that some important parameters of the process are not sensitive to the friction factor if its value is high enough. This observation is in qualitative agreement with a finite element solution.

Keywords

• continued compression
• friction
• rigid region
• singularity
• upper bound method