Continuity in Rigid Viscoplastic Flow

Classical plasticity models evolve state variables in a spatially independent manner through (local) ordinary differential equations, such as in the update of the rotation field in crystal plasticity. This approach emanates from how the deformation has been described, e.g. the multiplicative decomposition of the deformation gradient. In the present work, a continuity condition is derived for the elastic spin field from a conservation law for Burgers vector content---a consequence of an averaged field theory of dislocation mechanics. This results in a nonlocal evolution equation for the rotation field in rigid viscoplasticity. The continuity condition provides a theoretical basis for assumptions of co-rotation models of crystal plasticity.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Mechanical Engineering

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2014

Author dc:creator

• Mach, Justin C.

Contributors dc:contributor

• Beaudoin, Armand J.

• Engineering, Mechanical

Identifier

(UMI)AAI3363028

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/72229