Rev. Phys. Appl. (Paris) 23, 445-459 (1988)
DOI: 10.1051/rphysap:01988002304044500

Temperature and rate dependent theory of plasticity of crystalline solids

P. Perzyna

Institute for Fundamental Technological Research, Polish Academy of Sciences, Swietokrzyska 21, 00- 049 Warsaw, Poland

Abstract
The paper shows a new approach for formulation of temperature and rate dependent models of plastic behaviour of crystalline solids. It has several particular objectives. The first is to give a very brief overview of recent developments of large strain constitutive laws for crystalline rate dependent plasticity.The second is to investigate how the main mechanisms on crystalline slip system can be incorporated in the general framework of continuum rate dependent large plastic deformation constitutive structure. The internal state variables have been precisely interpreted. Based on main mechanisms for crystalline slip system the evolution equations for the internal state variables introduced are proposed. The third objective is to illustrate how to include additional features such as work hardening, thermal softening etc. in constitutive structure proposed. Next objective is to focus attention on temperature dependence of plastic behaviour. The final goal is the discussion how these propositions can be extended to develop theories for large deformation,temperature and rate dependent, polycrystalline behaviour.

PACS
6170L - Slip, creep, internal friction and other indirect evidence of dislocations.
6220F - Deformation and plasticity.
8140E - Cold working, work hardening: post deformation annealing, recovery and recrystallisation: textures.
8140L - Deformation, plasticity and creep.

Key words
slip -- plasticity -- plastic behaviour -- crystalline solids -- strain constitutive laws -- slip systems -- plastic deformation -- internal state variables -- work hardening -- thermal softening