期刊
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
卷 56, 期 4, 页码 1224-1244出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jmps.2007.10.001
关键词
buckling; phase transformation; beams and columns; finite strain; multiwalled carbon nanotubes
We propose to model thick multiwalled carbon nanotubes as beams with non-convex curvature energy. Such models develop stressed phase mixtures composed of smoothly bent sections and rippled sections. This model is motivated by experimental observations and large-scale atomistic-based simulations. The model is analyzed, validated against large-scale simulations, and exercised in examples of interest. It is shown that modelling MWCNTs as linear elastic beams can result in poor approximations that overestimate the elastic restoring force considerably, particularly for thick tubes. In contrast, the proposed model produces very accurate predictions both of the restoring force and of the phase pattern. The size effect in the bending response of MWCNTs is also discussed. (c) 2007 Elsevier Ltd. All rights reserved.
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