A VARIATIONAL PRINCIPLE FOR CONSTRUCTING THE EQUATIONS OF ELASTOPLASTICITY FOR FINITE DEFORMATIONS

Authors
Citation
Av. Shitikov, A VARIATIONAL PRINCIPLE FOR CONSTRUCTING THE EQUATIONS OF ELASTOPLASTICITY FOR FINITE DEFORMATIONS, Journal of applied mathematics and mechanics, 59(1), 1995, pp. 147-150
Citations number
4
Categorie Soggetti
Mathematics,Mathematics,Mechanics
ISSN journal
00218928
Volume
59
Issue
1
Year of publication
1995
Pages
147 - 150
Database
ISI
SICI code
0021-8928(1995)59:1<147:AVPFCT>2.0.ZU;2-E
Abstract
A variational principle of maximum dissipation of mechanical energy is proposed for constructing the governing equations of elastoplastic fl ow for finite deformations, based on the assumption that part of the d issipation is due to a change in the tenser of the internal variables. The required equations are obtained for the isothermal process by usi ng a previously proposed subdivision of the complete metric tenser int o elastic and plastic parts (but without invoking the idea of the rate of plastic deformation). The system of differential equations include s the equations for the tenser of the internal variables.