23
Views
5
CrossRef citations to date
0
Altmetric
Original Articles

Dynamic dislocation pile-ups

&
Pages 707-719 | Received 08 Nov 1982, Accepted 22 Dec 1982, Published online: 01 Dec 2006
 

Abstract

The motion of a continuous distribution of dislocations moving under a constant imposed stress towards a small locked dislocation is considered. This problem can be modelled as a non-linear partial differential equation for a complex stress function if a linear stress–velocity law is assumed. If the initial density of the distribution is sufficiently small. the dynamic pile-up that occurs can be described using matched asymptotic expansions. In particular, the force on the locked dislocation is derived as a function of time, It is further shown that the solution remains valid when the velocity in proportional to any positive power of the stress.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.