A model for dislocations in epitaxially strained elastic films. (English. French summary) Zbl 1387.49005
The paper deals with the variational model for epitaxially strained films. Starting by some variational formulation studied by E. Bonnetier and A. Chambolle [SIAM J. Appl. Math. 62, No. 4, 1093–1121 (2002; Zbl 1001.49017)] and the authors [Arch. Ration. Mech. Anal. 186, No. 3, 477–537 (2007; Zbl 1126.74029)], within the context of equilibrium configurations of epitaxially strained films without dislocations, the authors propose a new mathematical model, which takes into account also the formation of misfits dislocations. Existence, regularity and some qualitative properties of solutions are studied.
Reviewer: Elvira Mascolo (Firenze)
MSC:
| 49J10 | Existence theories for free problems in two or more independent variables |
| 49J40 | Variational inequalities |
| 74K35 | Thin films |
| 74B05 | Classical linear elasticity |
| 49N60 | Regularity of solutions in optimal control |
Keywords:
epitaxially strained elastic films; misfit dislocations; free boundary problems; regularityReferences:
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