Numerical Analysis of Elliptic-Hyperbolic Plastic Flow in Torsion

Abstract
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.

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