surface effect

Liu, M., Zhang, Y., Wu, J., Gan, Y., & Chen, C. Q. (2016). Analytical solutions for elastic response of coated mesoporous materials to pore pressure. International Journal of Engineering Science, 107, 68-76.

Gurtin–Murdoch continuum surface elasticity model is employed to study the buckling
delamination of ultra thin film–substrate system. The effects of surface deformation and
residual stress on the large deflection of ultra thin film are considered in analysis. A
concept of effective bending rigidity (EBR) for ultra thin plate is proposed on the basis of
Gurtin–Murdoch continuum theory and the principle of minimum potential energy. The
governing equations with EBR are formally consistent with the classical plate theory,

Finite Size Effect on Nanomechanical Mass Detection: Role of Surface Elasticity

Mai Duc Dai, Chang-Wan Kim, and Kilho Eom 

Abstract