EQUILIBRIUM CONFIGURATIONS OF TWO-DIMENSIONAL STRESSED DOMAINS ON THE SURFACE OF ISOTROPIC AND CUBIC CRYSTALS

Geoffroy Prévot and Bernard Croset
Additional contact information
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

Surface Review and Letters (SRL), 2009, vol. 16, issue 04, 545-562

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.

Keywords: Elastic anisotropy; 2D stressed domains; equilibrium configurations (search for similar items in EconPapers)
Date: 2009
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0218625X09012925
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:srlxxx:v:16:y:2009:i:04:n:s0218625x09012925

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0218625X09012925

Access Statistics for this article

Surface Review and Letters (SRL) is currently edited by S Y Tong

More articles in Surface Review and Letters (SRL) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().