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 J2 flow theory of plasticity, various kinematic hardening models of flow theory, and both hypoelastic and hyperelastic formulations of J2 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.
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June 1990
Research Papers
Analytical Solutions for Circular Bars Subjected to Large Strain Plastic Torsion
K. W. Neale,
K. W. Neale
Universite´ de Sherbrooke, Sherbrooke, QC, Canada
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S. C. Shrivastava
S. C. Shrivastava
Department of Civil Engineering and Applied Mechanics, McGill University, Montre´al, QC, Canada
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K. W. Neale
Universite´ de Sherbrooke, Sherbrooke, QC, Canada
S. C. Shrivastava
Department of Civil Engineering and Applied Mechanics, McGill University, Montre´al, QC, Canada
J. Appl. Mech. Jun 1990, 57(2): 298-306 (9 pages)
Published Online: June 1, 1990
Article history
Received:
October 10, 1988
Revised:
July 1, 1989
Online:
March 31, 2008
Citation
Neale, K. W., and Shrivastava, S. C. (June 1, 1990). "Analytical Solutions for Circular Bars Subjected to Large Strain Plastic Torsion." ASME. J. Appl. Mech. June 1990; 57(2): 298–306. https://doi.org/10.1115/1.2891989
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