This paper is concerned mainly with restrictions on constitutive equations of idealized elastic-viscoplastic materials in the presence of finite deformation. The development is confined to the purely mechanical theory utilizing a constitutive model that includes unloading and allows for suitable definition of plastic strain. With the use of a physically plausible assumption concerning non-negative work in a closed cycle of deformation, two local inequalities are derived which place restrictions on the nonlinear constitutive response functions of the idealized material. Further implications of these inequalities relating the various response functions are dicussed. In the absence of rate effects in the stress response, the results correspond to those appropriate for rate-independent plasticity.
Skip Nav Destination
Constitutive Restrictions for Idealized Elastic-Viscoplastic Materials
P. M. Naghdi
Department of Mechanical Engineering, University of California, Berkeley, Calif. 94720
- Views Icon Views
- Share Icon Share
- Search Site
Naghdi, P. M. (March 1, 1984). "Constitutive Restrictions for Idealized Elastic-Viscoplastic Materials." ASME. J. Appl. Mech. March 1984; 51(1): 93–101. https://doi.org/10.1115/1.3167603
Download citation file:
Get Email Alerts
2021 Timoshenko Medal Acceptance Speech: Presented at the AMD Awards Event on November 3, 2021.
J. Appl. Mech (February 2022)