期刊名称:Lecture Notes in Engineering and Computer Science
印刷版ISSN:2078-0958
电子版ISSN:2078-0966
出版年度:2018
卷号:2235&2236
页码:757-760
出版社:Newswood and International Association of Engineers
摘要:In this paper, exact analytical solutions are developed to
describe the size-dependent nonlinear bending behavior of
cantilever nano-beams subjected to an end force. Geometric
and equilibrium equations of the deformed element are used in
conjunction with a nonlocal differential constitutive relation to
obtain large deformation of the nano-beam. Here, the nanobeam
is considered to be inextensible and the Euler-Bernoulli
hypotheses are adopted. Applicability and accuracy of the
present formulations are confirmed by comparing the
predicted results with those reported in the literature.
Furthermore, by using the exact solution presented in this
investigation, the deformed configurations of the nano-beams
are determined for different loading conditions. Our results
reveal that the nano-beam exhibits a softening behavior when
nonlocality is increasing.