Coherency stresses in multilayers
Résumé
The determination of the elastic state of coherently matched layers is of importance in a wide range of domains: epitaxial films on a substrate with different crystal structures, deformation of a lamella welded on a substrate, lamellar crystals. It is shown that the elastic state of coherently matched multilayers depends on two coupled field quantities: the stress (or equivalently the elastic strain), and the curvature. A general method, is derived to determine these fields, and the contribution of curvature on stress relaxation is emphasized. Detailed applications are given for the case of stress-free dilatation, and pure shear.
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