Dislocation Gliding in the Two Interfaces of a Layer Embedded in a Matrix

Summary The equilibrium positions of two edge dislocations of opposite Burgers vectors, each one gliding in one of the two interfaces of a thin layer embedded in a matrix of infinite extension, have been theoretically determined from a Peach–Koehler force analysis. The stability of the equilibrium positions of the two dislocations have been characterized as a function of the ratio between the shear modulus of the layer and the one of the matrix. A supercritical bifurcation has been identified such that beyond a critical shear modulus ratio, the stable positions of the two dislocations correspond to a vertical configuration. Below this critical ratio, two symmetrical shifted configurations have been found to be stable, the vertical one being unstable.

Authors

Institutions

Publication Details

Journal
The Quarterly Journal of Mechanics and Applied Mathematics
Published
2025-12-01
DOI
https://doi.org/10.1093/qjmam/hbaf013
Primary Topic
Nonlocal and gradient elasticity in micro/nano structures
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Dislocation Gliding in the Two Interfaces of a Layer Embedded in a Matrix

Jérôme M. Colin
The Quarterly Journal of Mechanics and Applied Mathematics
Nonlocal and gradient elasticity in micro/nano structures
article

Dislocation Gliding in the Two Interfaces of a Layer Embedded in a Matrix

Jérôme M. Colin
article en

Abstract

Summary The equilibrium positions of two edge dislocations of opposite Burgers vectors, each one gliding in one of the two interfaces of a thin layer embedded in a matrix of infinite extension, have been theoretically determined from a Peach–Koehler force analysis. The stability of the equilibrium positions of the two dislocations have been characterized as a function of the ratio between the shear modulus of the layer and the one of the matrix. A supercritical bifurcation has been identified such that beyond a critical shear modulus ratio, the stable positions of the two dislocations correspond to a vertical configuration. Below this critical ratio, two symmetrical shifted configurations have been found to be stable, the vertical one being unstable.

The Quarterly Journal of Mechanics and Applied MathematicsVol. 79(2)
Institut Pprime (FR)
Openalex Percentile: Top 43%
Nonlocal and gradient elasticity in micro/nano structures
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.