Size-dependent nonlinear response of thin elastic films with nano-scale thicknes

2020-01-24 21:59:46

The films nano elastic dependent

责任者: Lim, C.W.;He, L.H. 单位: Dept. of Building & Constr., City Univ. of Hong Kong, China 来源出处: International Journal of Mechanical Sciences(Int. J. Mech. Sci. (UK)),2004/11/,46(11):1715-26 摘要: The paper aims at modeling of size-dependent geometrically nonlinear response of thin elastic films with nano-scale thickness based on a continuum approach. The film is assumed elastically isotropic, and the Kirchhoffs hypothesis is adopted to approximate the deformation kinetics. By using Hamiltons principle, the governing equations and associated boundary conditions for the films incorporating nonlinearity in von Karmans sense are derived. The model is then applied to analyze the bending, buckling and vibration of simply supported micro- and nano-films in plane strains. Differing from the results predicted by the conventional plate theory neglecting surface effect, the proposed model and solutions involve intrinsic length scales. Consequently, the new model leads to the conclusion that the static and dynamic responses of micro- and nano-film are scaling dependent. The significance of surface effect is more profound for smaller scales 关键词: bending;buckling;elasticity;thin films;vibrations;thin elastic films;nanoscale thickness;size dependent geometrically nonlinear response;continuum approach;elastically isotropic;Kirchhoffs hypothesis;bending;buckling;vibration;dynamic responses;deformation kinetics;Hamilton principle