An extended crystal plasticity model for latent hardening in polycrystals |
| |
Authors: | Swantje Bargmann Bob Svendsen Magnus Ekh |
| |
Affiliation: | 1.Institute of Mechanics,Dortmund University of Technology,Dortmund,Germany;2.Chair of Material Mechanics, Center for Computational Engineering Science, Juelich Aachen Research Alliance,RWTH Aachen University,Aachen,Germany;3.Division of Material and Computational Mechanics, Department of Applied Mechanics,Chalmers University of Technology,Gothenburg,Sweden |
| |
Abstract: | In this contribution, a computational approach to modeling size-dependent self- and latent hardening in polycrystals is presented.
Latent hardening is the hardening of inactive slip systems due to active slip systems. We focus attention on the investigation
of glide system interaction, latent hardening and excess dislocation development. In particular, latent hardening results
in a transition to patchy slip as a first indication and expression of the development of dislocation microstructures. To
this end, following Nye (Acta Metall 1:153–162, 1953), Kondo (in Proceedings of the second Japan national congress for applied mechanics. Science Council of Japan, Tokyo, pp.
41–47, 1953), and many others, local deformation incompatibility in the material is adopted as a measure of the density of geometrically
necessary dislocations. Their development results in additional energy being stored in the material, leading to additional
kinematic-like hardening effects. A large-deformation model for latent hardening is introduced. This approach is based on
direct exploitation of the dissipation principle to derive all field relations and (sufficient) forms of the constitutive
relations as based on the free energy density and dissipation potential. The numerical implementation is done via a dual-mixed
finite element method. A numerical example for polycrystals is presented. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|