In the present study, an enriched continuum mechanics framework is employed to study the
surface effects on bending behavior of silver nanowires (NWs) resting on elastic
substrate. The Timoshenko beam theory and the Laplace-Young equation are employed to
investigate static behavior of silver NWs lying on Winkler-Pasternak elastic substrate.
Three types of boundary conditions are considered as doubly simply supported (S-S), doubly
clamped (C-C) and cantilevered (C-F). Analytical solutions are obtained for NWs with
surface crystallographic orientation of  subjected to a concentrated external force.
By defining different normalized contact stiffness, extensive numerical results are
carried out to study the influence of effective parameters such as substrate, surface,
aspect ratio (L/D) and diameter on
the stiffness of NWs. According to the obtained results, the effect of surface and its
rate of variation on stiffness of NWs lying on Winkler and Winkler-Pasternak elastic
foundation models are more significant in (C-F) type of boundary condition compared to the
NWs without foundation. By increasing the modulus of elastic substrate, the effect of
shear deformation increases which it is more considerable in (C-C) and (S-S) NWs resting
on the Winkler-Pasternak and Winkler substrate models, respectively.