A macroscopic formulation of large deformations elastoplasticity with tensorial structure variables is presented. The novel features are the effect of constitutive relations for the plastic spin and, to a lesser degree of importance, of elastically embedding the structure variables. The plastic spin constitutive relations are obtained for different kinds of initial and induced anisotropies on the basis of the representation theorems for isotropic second-order antisymmetric tensor-valued functions, and their role is illustrated by the analysis of several examples at large homogeneous deformations. In particular the analysis of simple shear with nonlinear kinematic hardening of the evanescent memory type provides, on the basis of the second Liapunov method for stability, conditions on the material constants for the occurrence or not of stress oscillations with monotonically increasing shear strain.
Skip Nav Destination
Article navigation
December 1985
Research Papers
The Plastic Spin
Y. F. Dafalias
Y. F. Dafalias
Department of Civil Engineering, University of California at Davis, Davis, Calif. 95616
Search for other works by this author on:
Y. F. Dafalias
Department of Civil Engineering, University of California at Davis, Davis, Calif. 95616
J. Appl. Mech. Dec 1985, 52(4): 865-871 (7 pages)
Published Online: December 1, 1985
Article history
Received:
June 1, 1984
Online:
July 21, 2009
Connected Content
A correction has been published:
Erratum: “The Plastic Spin” (Journal of Applied Mechanics, 1985, 52, pp. 865–871)
Citation
Dafalias, Y. F. (December 1, 1985). "The Plastic Spin." ASME. J. Appl. Mech. December 1985; 52(4): 865–871. https://doi.org/10.1115/1.3169160
Download citation file:
Get Email Alerts
Nonlinear Isogeometric Analyses of Instabilities in Thin Elastic Shells Exhibiting Combined Bending and Stretching
J. Appl. Mech (January 2025)
Related Articles
Finite Strain Plasticity and Damage in Constitutive Modeling of Metals With Spin Tensors
Appl. Mech. Rev (March,1992)
Phenomenological Theories of Elastoplasticity and Strain Localization at High Strain Rates
Appl. Mech. Rev (March,1992)
Eulerian Framework for Inelasticity Based on the Jaumann Rate and a Hyperelastic Constitutive Relation—Part II: Finite Strain Elastoplasticity
J. Appl. Mech (March,2013)
A Thermodynamical Theory of Plastic Spin and Internal Stress With Dislocation Density Tensor
J. Eng. Mater. Technol (April,1999)
Related Chapters
The Direct Contribution of Spin-Down Compression for Rotochemical Deviations in Stars Containing Mixed- Phase Matter
International Conference on Advanced Computer Theory and Engineering, 4th (ICACTE 2011)
Verifying of a Network Cryptographic Protocol Using the Model Checking Tools
International Conference on Software Technology and Engineering (ICSTE 2012)
Mathematical Background
Vibrations of Linear Piezostructures