2020
DOI: 10.1051/cocv/2020038
|View full text |Cite
|
Sign up to set email alerts
|

The continuum limit of interacting dislocations on multiple slip systems

Abstract: In this paper we derive the continuum limit of a multiple-species, interacting particle system by proving a Γ-convergence result on the interaction energy as the number of particles tends to infinity. As the leading application, we consider n edge dislocations in multiple slip systems. Since the interaction potential of dislocations has a logarithmic singularity at zero with a sign that depends on the orientation of the slip systems, the interaction energy is unbounded from below. To make the minimization pr… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

0
0
0

Publication Types

Select...

Relationship

0
0

Authors

Journals

citations
Cited by 0 publications
references
References 41 publications
0
0
0
Order By: Relevance

No citations

Set email alert for when this publication receives citations?