Geodesic
Energies for incoherent films: an analytical approach
Paolo Cermelli1 ; Morton E. Gurtin2 ; Giovanni Leoni3
1Università degli Studi di Torino, Italy
2Carnegie Mellon University, Pittsburgh, USA
3Carnegie-Mellon University, Pittsburgh, USA
Interfaces and free boundaries, Tome 1 (1999) no. 1, pp. 81-105

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DOI

This work discusses the role of interfacial energy for problems involving an epitaxial layer on a rigid substrate. Using the calculus of variations, resulting microstructures are determined for a large class of interfacial energies; the qualitative features of these microstructures demonstrate a strong dependence on the smoothness and convexity of the energy. This work is meant to provide insight into deciding appropriate energies for a large class of incoherent interfaces.
DOI : 10.4171/ifb/5
Classification : 46-XX, 60-XX
Mots-clés : Incoherent films, calculus of variations

Paolo Cermelli  1   ; Morton E. Gurtin  2   ; Giovanni Leoni  3

1 Università degli Studi di Torino, Italy
2 Carnegie Mellon University, Pittsburgh, USA
3 Carnegie-Mellon University, Pittsburgh, USA 
Paolo Cermelli; Morton E. Gurtin; Giovanni Leoni. Energies for incoherent films: an analytical approach. Interfaces and free boundaries, Tome 1 (1999) no. 1, pp. 81-105. doi: 10.4171/ifb/5
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