Theory of Elasticity at the Nanoscale

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Geometrically nonlinear higher-gradient elasticity with energetic boundaries (2013, background): “In other models (e.g. dell’Isola and Romano, 1986, 1987; dell’Isola and Kosinski, 1993; Vardoulakis et al., 1996; Exadaktylos et al., 1996; Exadaktylos, 1998; Exadaktylos and Vardoulakis, 1998; Danescu and Sidoroff, 1998; Exadaktylos, 1999; Steinmann, 2008) it is assumed that some surfaces may…”
Second strain gradient elasticity of nano-objects (2016, methodology): “Nano-porous materials were also modelled by means of surface elasticity concepts in Duan et al. (2009) and Dormieux and Kondo (2013).”
On the shell theory on the nanoscale with surface stresses (2011, background): “The discussions on the application of the continuum mechanics and the mechanics of structures in the nanoscale are very extensive, see Duan et al. (2008) among others.”