Multi-level analysis of localisation problems


Type
Conference Object
Change log
Authors
Sluys, LJ 
Estrin, Y 
Wells, GN 
Abstract

Localisation processes, such as shear banding and necking, have been investigated following a macroscopic and a microscopic approach. Both approaches have been formulated within a finite deformation plasticity framework. Additional terms have been used to regularise the problem and solve mesh dependency. In the macroscopic model viscosity is introduced as a means to control the thickness of the shear band, while in the microscopic model the nonlocal interaction of dislocations acts as a stabiliser. The micro-mechanical model is formulated in a crystal plasticity framework. A diffusion term that represents cross-slip of dislocations is included in the evolution equations for dislocation densities. The effect of the viscous term (macro-model) and the diffusion-like term (micro-model) in the constitutive relation on the resulting formation of localised shear modes is studied. An analysis of a strip in tension oriented for multiple slip is presented for both models.

Description
Keywords
shear banding, finite deformation plasticity, single crystal plasticity
Journal Title
Conference Name
2nd European Conference on Computational Mechanics
Journal ISSN
Volume Title
Publisher
Publisher DOI
Publisher URL