Numerical Analysis of Elliptic-Hyperbolic Plastic Flow in Torsion

[+] Author and Article Information
Y. K. Lee, J. L. Swedlow

Center for the Joining of Materials and Department of Mechanical Engineering, Carnegie Institute of Technology, Carnegie-Mellon University, Pittsburgh, Pa. 15213

J. Appl. Mech 47(2), 283-290 (Jun 01, 1980) (8 pages) doi:10.1115/1.3153656 History: Received April 01, 1979; Revised December 01, 1979; Online July 21, 2009


A method for solving elastic-perfectly plastic problems is presented, such that the mixed elliptic-hyperbolic field may be modeled properly. The method is applied to torsion of a rectangular bar which, although coarsely meshed, exhibits features observed experimentally. In particular, initiation and growth of behavior akin to shear banding is captured. A torque-twist curve is obtained well beyond the peak torque.

Copyright © 1980 by ASME
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