Nanoparticles under the influence of surface/interface elasticity

Mi, Changwen; Kouris, Demitris

doi:10.2140/jomms.2006.1.763

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Nanoparticles under the influence of surface/interface elasticity

Changwen Mi and Demitris A. Kouris

Vol. 1 (2006), No. 4, 763–791

DOI: 10.2140/jomms.2006.1.763

Abstract

We investigate the effect of surface/interface elasticity in the presence of nanoparticles, embedded in a semi-infinite elastic medium. The work is motivated by the technological significance of self-organization of strained islands in multilayered systems. Islands, adatom-clusters, or quantum dots are modeled as inhomogeneities, with properties that differ from the ones of the surrounding material. Within the framework of continuum elasticity theory, the Papkovitch–Neuber displacement methodology coupled with Gurtin’s surface elasticity yields an analytical solution. The elastic field is expressed in terms of four sets of spherical and cylindrical harmonics. Surface elasticity introduces an additional length scale and results suggest that local stresses are significantly affected by the size of the nanoparticles.

Keywords

surface/interface effects, inhomogeneity, half-space

Milestones

Received: 23 December 2005

Accepted: 2 February 2006

Published: 1 August 2006

Authors

Changwen Mi
Department of Mechanical Engineering University of Wyoming Laramie WY 82071 United States

Demitris A. Kouris
Department of Mechanical Engineering University of Wyoming Laramie WY 82071 United States

Vol. 1, No. 4, 2006

Changwen Mi and Demitris A. Kouris

Abstract

Keywords

Milestones

Authors