Abstract

The presence of nanoparticles in an elastic solid introduces disturbances that can vary significantly from the ones predicted by classical elasticity. In this study, we were able to determine that nanoscale effects introduced via a coherent interface model can indeed result in complex, non-local displacement and stress fields near the free surface of a substrate. The specific geometry is defined by a spherical nanoparticle near a straight boundary. The system is loaded either through a far-field uniaxial tension or a transformation strain (eigenstrain) in the particle itself. The elastic field can be fully determined using a three-dimensional displacement formulation that incorporates a well-established interface model.

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