| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 772398 | European Journal of Mechanics - A/Solids | 2013 | 7 Pages |
Surface energy effects can play a significant role in the case of nanoscale materials and structures due to their high surface to volume ratio. In this paper, the general three-dimensional asymmetric problem for an elastic layer of nanoscale thickness that is bonded to a rigid substrate and subjected to tangential loading at the surface is considered. Muki's integral transforms method for classical elasticity is extended to investigate the influence of surface energy effects on the elastic field based on the Gurtin–Murdoch continuum model. Hankel integral transforms are used to solve the non-classical boundary value problems related to a tangential concentrated load and a uniformly distributed tangential circular patch load. Explicit analytical solutions are obtained for the corresponding boundary-value problems. Selected numerical results are presented to illustrate the influence of surface energy effects and layer thickness on the elastic field.
► Three dimensional explicit analytical solutions for a nano-film under asymmetric surface loading. ► Hankel integral transforms are used to solve the coupled boundary value problem. ► Deformation dependent surface energy effects are considered.
