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Correction published on 27 May 2016, see Sensors 2016, 16(6), 781.

Open AccessArticle
Sensors 2015, 15(11), 28543-28562; doi:10.3390/s151128543

Modelling the Size Effects on the Mechanical Properties of Micro/Nano Structures

1
Department of Mechanical Engineering, Isfahan University of Technology, Isfahan 84156-83111, Iran
2
Advanced NEMS Group, École Polytechnique Fédérale de Lausanne (EPFL), Lausanne CH-1015, Switzerland
3
Department of Mechanical Engineering, Urmia University, Urmia 57561-51818, Iran
*
Authors to whom correspondence should be addressed.
Academic Editors: Montserrat Calleja and Priscila M. Kosaka
Received: 7 August 2015 / Revised: 20 October 2015 / Accepted: 26 October 2015 / Published: 11 November 2015
(This article belongs to the Special Issue Nanomechanics for Sensing and Spectrometry)
View Full-Text   |   Download PDF [1044 KB, uploaded 31 May 2016]   |  

Abstract

Experiments on micro- and nano-mechanical systems (M/NEMS) have shown that their behavior under bending loads departs in many cases from the classical predictions using Euler-Bernoulli theory and Hooke’s law. This anomalous response has usually been seen as a dependence of the material properties on the size of the structure, in particular thickness. A theoretical model that allows for quantitative understanding and prediction of this size effect is important for the design of M/NEMS. In this paper, we summarize and analyze the five theories that can be found in the literature: Grain Boundary Theory (GBT), Surface Stress Theory (SST), Residual Stress Theory (RST), Couple Stress Theory (CST) and Surface Elasticity Theory (SET). By comparing these theories with experimental data we propose a simplified model combination of CST and SET that properly fits all considered cases, therefore delivering a simple (two parameters) model that can be used to predict the mechanical properties at the nanoscale. View Full-Text
Keywords: size effect; Young’s modulus; residual stress; couple stress; grain boundary; surface elasticity; surface stress; length scale parameter size effect; Young’s modulus; residual stress; couple stress; grain boundary; surface elasticity; surface stress; length scale parameter
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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MDPI and ACS Style

Abazari, A.M.; Safavi, S.M.; Rezazadeh, G.; Villanueva, L.G. Modelling the Size Effects on the Mechanical Properties of Micro/Nano Structures. Sensors 2015, 15, 28543-28562.

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