2004
DOI: 10.1016/j.ijmecsci.2004.09.003
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Size-dependent nonlinear response of thin elastic films with nano-scale thickness

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Cited by 224 publications
(105 citation statements)
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References 15 publications
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“…However, this relaxation was not considered in the previous studies on the elastic nanoplate (Lim & He 2004;Lu et al 2006;) using modified continuum mechanics models, while atomistic or atomistic-based studies have confirmed and discussed this phenomenon (Park & Klein 2007;Zhang et al 2010b;Park 2012). 2. u 0 (x, y) = v 0 (x, y) = 0.…”
Section: Formulationmentioning
confidence: 99%
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“…However, this relaxation was not considered in the previous studies on the elastic nanoplate (Lim & He 2004;Lu et al 2006;) using modified continuum mechanics models, while atomistic or atomistic-based studies have confirmed and discussed this phenomenon (Park & Klein 2007;Zhang et al 2010b;Park 2012). 2. u 0 (x, y) = v 0 (x, y) = 0.…”
Section: Formulationmentioning
confidence: 99%
“…The results in these studies suggest that accounting for axial strain relaxation may be necessary to improve the accuracy and predictive capability of analytical surface elastic theories. However, this surface-stress-induced relaxation phenomenon has not been accounted for in previous investigations of nanoplates with surface effects (Lim & He 2004;Lu et al 2006;, owing to their particular prescribed in-plane boundary conditions. Therefore, different in-plane constraints will be defined in this work in order to catch all the possible phenomena induced by the surface effects.…”
Section: Introductionmentioning
confidence: 99%
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“…9. In the following simulation, the nondimensional strain-independent surface stress parameter is introduced by (Lim & He, 2004). However, by considering the surface stress effects in the current model, we can find that the phase wave velocity increases with decrease of the size of the nanowire under surface tension.…”
Section: Flexural Wave Motionmentioning
confidence: 92%
“…A general model for elastically isotropic solids with surface stress was suggested by [Gurtin and Murdoch 1975a;1975b;1978]. This model was adopted recently by some authors to analyze the elastic responses of nanoscale thin films [Lim and He 2004;Lu et al 2006]. We especially focus on the investigation of the thermomechanical properties in thin film with a thickness ranging from a few nanometers to several tens of nanometers, and the finite element method (FEM) for the thin film structure is also implemented based on the continuum model.…”
Section: Studiedmentioning
confidence: 99%