A continuum model for size-dependent deformation of elastic films of nano-scale thickness

By Linghui He, C. W. Lim, Baisheng Wu. 2004

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Size-dependent elastic behavior of FGM ultra-thin films based on generalized refined theory (2009, unknown): “It has been well established that, for MEMS/ NEMS structures and elements with at least one dimension in micro-range, surface effects on their mechanical behavior become increasingly indispensable when the absolute thickness gets smaller (He et al., 2004; Lim and He, 2004; Lu et al., 2006; Huang, 20”
On the shell theory on the nanoscale with surface stresses (2011, methodology): “There are many possibilities to reduce the 3D equilibrium equations to the two-dimensional one. In particular, the procedure in Libai and Simmonds (1998), Chróścielewski et al.”
A surface Cauchy–Born model for nanoscale materials (2006, methodology): “A common thread that connects some of the above works [21, 23, 24] is that they are based on modifications to the surface elasticity formulation of Gurtin and Murdoch [18], in which a surface stress tensor is introduced to augment the bulk stress tensor typically utilized in continuum mechanics.”