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Equilibrium Configurations Of Two-Dimensional Stressed Domains On The Surface Of Isotropic And Cubic Crystals

Author

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  • GEOFFROY PRÉVOT

    (Institut des NanoSciences de Paris, UMR CNRS 7588, Université Pierre et Marie Curie-Paris 6, 140, Rue de Lourmel, 75015 Paris, France)

  • BERNARD CROSET

    (Institut des NanoSciences de Paris, UMR CNRS 7588, Université Pierre et Marie Curie-Paris 6, 140, Rue de Lourmel, 75015 Paris, France)

Abstract

In this paper, we derive analytical formulations of the elastic energy of a stressed domain on a crystalline substrate. Taking care of the singularity of the elastic Green function atr = 0, we obtain a universal expression for the isotropic case. By using the analogy between electric dipolar and elastic interactions, we developed similar analytical calculations for the (001) surface of a cubic crystal.We showed that the anisotropy of the boundary energy and the anisotropy of the substrate govern the shape of the domains, favoring either compact shapes or stripe configurations. The analytical approach adopted in this paper also allows us to discuss the role of elastic anisotropy for the existence of attractive interactions between domains.

Suggested Citation

  • Geoffroy Prévot & Bernard Croset, 2009. "Equilibrium Configurations Of Two-Dimensional Stressed Domains On The Surface Of Isotropic And Cubic Crystals," Surface Review and Letters (SRL), World Scientific Publishing Co. Pte. Ltd., vol. 16(04), pages 545-562.
    • Handle: RePEc:wsi:srlxxx:v:16:y:2009:i:04:n:s0218625x09012925
    DOI: 10.1142/S0218625X09012925
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