An Analysis of the Plane-Strain Compression of Viscoplastic Materials

[+] Author and Article Information
M. J. Adams

Unilever Research Ltd., Port Sunlight Laboratory

B. J. Briscoe, G. M. Corfield, C. J. Lawrence, T. D. Papathanasiou

Department of Chemical Engineering and Chemical Technology, Imperial College of Science, Technology and Medicine, London, UK

J. Appl. Mech 64(2), 420-424 (Jun 01, 1997) (5 pages) doi:10.1115/1.2787325 History: Received February 15, 1996; Revised August 12, 1996; Online October 25, 2007


A theoretical analysis for the plane-strain compression of viscoplastic materials with a Tresca wall boundary condition is described. The analysis is based upon the incorporation of a viscoplastic associated flow rule into the cycloidal solution originally developed for rigid-perfectly plastic materials. The evolution of the calculated stress field suggests that the influence of strain rate hardening is similar to that reported previously for strain hardening. The calculated strain fields are elliptical in form and are consistent with those measured for a viscoplastic paste. Previous analyses of the compression of viscoplastic materials have employed the lubrication approximation for fluid flows with a resulting kinematic inconsistency in the predicted velocity fields.

Copyright © 1997 by The American Society of Mechanical Engineers
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