Common nonlocal elastic constitutive relation and material-behavior modeling of nanostructures

IF 4.2 Q2 NANOSCIENCE & NANOTECHNOLOGY

Proceedings of the Institution of Mechanical Engineers Part N-Journal of Nanomaterials Nanoengineering and Nanosystems Pub Date : 2017-06-01 DOI:10.1177/2397791417712870

A. Naderi, A. Saidi

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引用次数: 3

Abstract

This article reviews conventional nonlocal elasticity constitutive relation which is frequently used for mechanical analyses of nanostructures. It is shown here that since this constitutive relation has been essentially derived based on infinite-body assumption, it cannot consider the nonlocal effects at all points of a nanoscale body accurately. Also, it is shown that although the nonlocal constitutive relations can potentially consider the surface effects, that constitutive relation has been obtained substantially by ignoring those effects. So, it cannot also consider the surface effects accurately. Therefore, the conventional nonlocal constitutive relation generally is not accurate for material-behavior modeling and consequently mechanical analysis of nanostructures. Furthermore, common nonlocal constitutive law is examined in buckling problem of Timoshenko beam-columns to show another limitation of that constitutive law. Finally, some special cases for which that constitutive relation can be used more accurately are proposed.

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纳米结构的非局部弹性本构关系及材料-行为模型

本文综述了纳米结构力学分析中常用的非局部弹性本构关系。本文的研究表明，由于该本构关系本质上是基于无限体假设推导出来的，它不能准确地考虑纳米尺度物体所有点的非局部效应。研究还表明，尽管非局部本构关系可以潜在地考虑表面效应，但该本构关系基本上是在忽略表面效应的情况下获得的。因此，它也不能准确地考虑表面效应。因此，传统的非局部本构关系通常不准确地用于材料行为建模和纳米结构的力学分析。此外，还考察了Timoshenko梁柱屈曲问题中常见的非局部本构律，揭示了该本构律的另一局限性。最后，给出了本构关系可以更准确应用的一些特殊情况。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Proceedings of the Institution of Mechanical Engineers Part N-Journal of Nanomaterials Nanoengineering and Nanosystems NANOSCIENCE & NANOTECHNOLOGY-

CiteScore

6.00

自引率

1.70%

发文量

期刊介绍： Proceedings of the Institution of Mechanical Engineers Part N-Journal of Nanomaterials Nanoengineering and Nanosystems is a peer-reviewed scientific journal published since 2004 by SAGE Publications on behalf of the Institution of Mechanical Engineers. The journal focuses on research in the field of nanoengineering, nanoscience and nanotechnology and aims to publish high quality academic papers in this field. In addition, the journal is indexed in several reputable academic databases and abstracting services, including Scopus, Compendex, and CSA's Advanced Polymers Abstracts, Composites Industry Abstracts, and Earthquake Engineering Abstracts.