eCommons

 

The Physics Of Singular Dislocation Structures In Continuum Dislocation Dynamics

Other Titles

Abstract

Dislocations play an important role in the deformation behaviors of metals. They not only interact via long-range elastic stress, but also interact with shortrange interactions; they annihilate, tangle, get stuck, and unstuck. These interaction between dislocations lead to interesting dislocation wall formation at the mesoscales. A recently developed continuum dislocation dynamics model that shows dislocation wall structures, is presented and explored in two and three dimensions. We discuss both mathematical and numerical aspects of simulating the model; the validity of our methods are explored and we show that the model has physical analogies to turbulence. We explain why and how the walls are formed in our continuum dislocation dynamics model. We propose modifications for more traditional slip dynamical laws, which lead them to form dislocation wall structures. Furthermore, we argue that defect physics may generate more singular structures than the density jumps that have traditionally been observed within fluid dynamics, and that development and enhancement of mathematical and numerical schemes will be necessary to incorporate the microscale defect physics that ought to determine the evolution of the singularity (replacing traditional entropy conditions).

Journal / Series

Volume & Issue

Description

Sponsorship

Date Issued

2013-01-28

Publisher

Keywords

Dislocation dynamics; Hyperbolic conservation laws; Singular dislocation structures

Location

Effective Date

Expiration Date

Sector

Employer

Union

Union Local

NAICS

Number of Workers

Committee Chair

Sethna, James Patarasp

Committee Co-Chair

Committee Member

Cohen, Itai
Henley, Christopher Lee

Degree Discipline

Physics

Degree Name

Ph. D., Physics

Degree Level

Doctor of Philosophy

Related Version

Related DOI

Related To

Related Part

Based on Related Item

Has Other Format(s)

Part of Related Item

Related To

Related Publication(s)

Link(s) to Related Publication(s)

References

Link(s) to Reference(s)

Previously Published As

Government Document

ISBN

ISMN

ISSN

Other Identifiers

Rights

Rights URI

Types

dissertation or thesis

Accessibility Feature

Accessibility Hazard

Accessibility Summary

Link(s) to Catalog Record