REVIEW ARTICLES: Viscoplasticity: Experiment and Modelling

Single Crystal Hardening

[+] Author and Article Information
J. L. Bassani

Department of Mechanical Engineering and Applied Mechanics, University of Pennsylvania, Philadelphia, PA 19104

Appl. Mech. Rev 43(5S), S320-S327 (May 01, 1990) doi:10.1115/1.3120835 History: Online April 30, 2009


The hardening behavior of individual slip systems under multislip deformations is reinterpreted, which leads to a new analytical description of hardening. Most significantly, the transition from stage I (single slip easy glide) to stage II (multiple slip) hardening for “single slip” orientations of the tensile axis and, generally, the orientation dependence of hardening is well predicted. Even within a time-independent framework the hardening description leads to a unique determination of the active set of slips. Numerical calculations are based on an extremum principle and utilize a modified quadratic programming algorithm.

Copyright © 1990 by American Society of Mechanical Engineers
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