Analytical Solutions for Circular Bars Subjected to Large Strain Plastic Torsion

[+] Author and Article Information
K. W. Neale

Université de Sherbrooke, Sherbrooke, QC, Canada

S. C. Shrivastava

Department of Civil Engineering and Applied Mechanics, McGill University, Montréal, QC, Canada

J. Appl. Mech 57(2), 298-306 (Jun 01, 1990) (9 pages) doi:10.1115/1.2891989 History: Received October 10, 1988; Revised July 01, 1989; Online March 31, 2008


The inelastic behavior of solid circular bars twisted to arbitrarily large strains is considered. Various phenomenological constitutive laws currently employed to model finite strain inelastic behavior are shown to lead to closed-form analytical solutions for torsion. These include rate-independent elastic-plastic isotropic hardening J 2 flow theory of plasticity, various kinematic hardening models of flow theory, and both hypoelastic and hyperelastic formulations of J 2 deformation theory. Certain rate-dependent inelastic laws, including creep and strain-rate sensitivity models, also permit the development of closed-form solutions. The derivation of these solutions is presented as well as numerous applications to a wide variety of time-independent and rate-dependent plastic constitutive laws.

Copyright © 1990 by The American Society of Mechanical Engineers
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