Skip to main content Accessibility help
×
Home
Hostname: page-component-99c86f546-z5d2w Total loading time: 1.073 Render date: 2021-12-03T13:34:33.954Z Has data issue: true Feature Flags: { "shouldUseShareProductTool": true, "shouldUseHypothesis": true, "isUnsiloEnabled": true, "metricsAbstractViews": false, "figures": true, "newCiteModal": false, "newCitedByModal": true, "newEcommerce": true, "newUsageEvents": true }

Continuum Dislocation Dynamics Based on the Second Order Alignment Tensor

Published online by Cambridge University Press:  14 January 2014

Thomas Hochrainer*
Affiliation:
Universität Bremen, IW3, Am Biologischen Garten 2,28359 Bremen, Germany.
Get access

Abstract

In the current paper we present a continuum theory of dislocations based on the second-order alignment tensor in conjunction with the classical dislocation density tensor (Kröner-Nye-tensor) and a scalar dislocation curvature measure. The second-order alignment tensor is a symmetric second order tensor characterizing the orientation distribution of dislocations in elliptic form. It is closely connected to total densities of screw and edge dislocations introduced in the literature. The scalar dislocation curvature density is a conserved quantity the integral of which represents the total number of dislocations in the system. The presented evolution equations of these dislocation density measures partly parallel earlier developed theories based on screw-edge decompositions but handle line length changes and segment reorientation consistently. We demonstrate that the presented equations allow predicting the evolution of a single dislocation loop in a non-trivial velocity field.

Type
Articles
Copyright
Copyright © Materials Research Society 2014 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Groma, I., Csikor, F. F. and Zaiser, M., Acta Mater. 51, 12711281 (2003).CrossRef
Arsenlis, A. et al. ., J. Mech. Phys. Solids 52, 12131246 (2004).CrossRef
Zaiser, M. and Hochrainer, T., Scripta Mater. 54, 717721 (2006)CrossRef
Hochrainer, T. MRS Proceedings, 1535, mmm2012-a-0343 doi:10.1557/opl.2013.451. (2013)CrossRef
Hochrainer, T., Zaiser, M. and Gumbsch, P., Philos. Mag. 87, 12611282 (2007)CrossRef
Hochrainer, T., Sandfeld, S., Zaiser, M. and Gumbsch, P., J. Mech. Phys. Solids. (in print)
Ebrahimi, A., Monavari, M. and Hochrainer, T., MRS Proceedings (this volume)
Acharya, A., J. Mech. Phys. Solids 49, 761784 (2001).CrossRef
Sedlacek, R., Kratochvil, J. and Werner, E., Philos. Mag. 83, 37353752 (2003)CrossRef

Send article to Kindle

To send this article to your Kindle, first ensure no-reply@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about sending to your Kindle. Find out more about sending to your Kindle.

Note you can select to send to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be sent to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

Continuum Dislocation Dynamics Based on the Second Order Alignment Tensor
Available formats
×

Send article to Dropbox

To send this article to your Dropbox account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your <service> account. Find out more about sending content to Dropbox.

Continuum Dislocation Dynamics Based on the Second Order Alignment Tensor
Available formats
×

Send article to Google Drive

To send this article to your Google Drive account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your <service> account. Find out more about sending content to Google Drive.

Continuum Dislocation Dynamics Based on the Second Order Alignment Tensor
Available formats
×
×

Reply to: Submit a response

Please enter your response.

Your details

Please enter a valid email address.

Conflicting interests

Do you have any conflicting interests? *