arXiv:1705.08121 [math.AP]AbstractReferencesReviewsResources
Boundary Behaviour and Confinement of Screw Dislocations
Published 2017-05-23Version 1
In this note we discuss two aspects of screw dislocations dynamics: their behavior near the boundary and a way to confine them inside the material. In the former case, we obtain analytical results on the estimates of collision times (one dislocation with the boundary and two dislocations with opposite Burgers vectors with each other); numerical evidence is also provided. In the latter, we obtain analytical results stating that, under imposing a certain type of boundary conditions, it is energetically favorable for dislocations to remain confined inside the domain.
Comments: 6 pages, 1 figure. contribution to the conference 2017 MRS Spring Meeting
Categories: math.AP
Keywords: boundary behaviour, confinement, screw dislocations dynamics, analytical results, opposite burgers vectors
Tags: conference paper
Related articles: Most relevant | Search more
arXiv:1708.06180 [math.AP] (Published 2017-08-21)
Hypocoercivity without confinement
arXiv:math/0608541 [math.AP] (Published 2006-08-22)
Confinement of vorticity in two dimensional ideal incompressible exterior flow
arXiv:1802.10161 [math.AP] (Published 2018-02-27)
Confinement of vorticity for the 2D Euler-alpha equations