Vol. 1, No. 4, 2006

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ISSN: 1559-3959
Nanoparticles under the influence of surface/interface elasticity

Changwen Mi and Demitris A. Kouris

Vol. 1 (2006), No. 4, 763–791

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.

surface/interface effects, inhomogeneity, half-space
Received: 23 December 2005
Accepted: 2 February 2006
Published: 1 August 2006
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