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
- Jérôme M. Colin (ORCID: https://orcid.org/0000-0002-7806-160X)
Institutions
- Institut Pprime (FR)
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