期刊
MECHANICS RESEARCH COMMUNICATIONS
卷 62, 期 -, 页码 25-30出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.mechrescom.2014.08.004
关键词
Nonlocal elasticity; Gradient elasticity; Euler-Bernoulli nanobeam
类别
资金
- Polo delle Scienze e delle Tecnologie - University of Naples Federico II - through the research project FARO
This paper is concerned with the bending problem of nanobeams starting from a nonlocal thermodynamic approach. A new coupled nonlocal model, depending on two nonlocal parameters, is obtained by using a suitable definition of the free energy. Unlike previous approaches which directly substitute the expression of the nonlocal stress into the classical equilibrium equations, the proposed approach provides a methodology to recover nonlocal models starting from the free energy function. The coupled model can then be specialized to obtain a nanobeam formulation based on the Eringen nonlocal elasticity theory and on the gradient elastic model. The variational formulations are consistently provided and the differential equations with the related boundary conditions are thus derived. Nanocantilevers are solved in a closed-form and numerical results are presented to investigate the influence of the nonlocal parameters. (C) 2014 Elsevier Ltd. All rights reserved.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据