Effect of Surface Stress on the Buckling of Nonlocal Nanoplates Subject to Material Uncertainty

Abstract At the nano scale, the effect of surface stress becomes prominent as well as the so-called small scale effect. Furthermore due to difficulties in making accurate measurements at nano-scale as well as due to due to molecular defects and manufacturing tolerances, there exists a certain degree...

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Main Authors: I. S. Radebe, S. Adali
Format: Article
Language:English
Published: Marcílio Alves
Series:Latin American Journal of Solids and Structures
Subjects:
Online Access:http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252015000901666&lng=en&tlng=en
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author I. S. Radebe
S. Adali
author_facet I. S. Radebe
S. Adali
author_sort I. S. Radebe
collection DOAJ
description Abstract At the nano scale, the effect of surface stress becomes prominent as well as the so-called small scale effect. Furthermore due to difficulties in making accurate measurements at nano-scale as well as due to due to molecular defects and manufacturing tolerances, there exists a certain degree of uncertainty in the determination of the material properties of nano structures This, in turn, introduces some degree of uncertainty in the computation of the mechanical response of the nano-scale components. In the present study a convex model is employed to take surface tension, small scale parameter and the elastic constants as uncertain-but-bounded quantities in the buckling analysis of rectangular nanoplates. The objective is to determine the lowest buckling load for a given level of uncertainty to obtain a conservative estimate by taking the worst-case variations of material properties. Moreover the sensitivity of the buckling load to material uncertainties is also investigated.
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spelling doaj.art-d7dbbf81cea347ae9a0aca6d6a46f6e82022-12-22T00:55:41ZengMarcílio AlvesLatin American Journal of Solids and Structures1679-78251291666167610.1590/1679-78251468S1679-78252015000901666Effect of Surface Stress on the Buckling of Nonlocal Nanoplates Subject to Material UncertaintyI. S. RadebeS. AdaliAbstract At the nano scale, the effect of surface stress becomes prominent as well as the so-called small scale effect. Furthermore due to difficulties in making accurate measurements at nano-scale as well as due to due to molecular defects and manufacturing tolerances, there exists a certain degree of uncertainty in the determination of the material properties of nano structures This, in turn, introduces some degree of uncertainty in the computation of the mechanical response of the nano-scale components. In the present study a convex model is employed to take surface tension, small scale parameter and the elastic constants as uncertain-but-bounded quantities in the buckling analysis of rectangular nanoplates. The objective is to determine the lowest buckling load for a given level of uncertainty to obtain a conservative estimate by taking the worst-case variations of material properties. Moreover the sensitivity of the buckling load to material uncertainties is also investigated.http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252015000901666&lng=en&tlng=enNanoplatessurface stressbucklingmaterial uncertaintynonlocal theorysensitivity analysis
spellingShingle I. S. Radebe
S. Adali
Effect of Surface Stress on the Buckling of Nonlocal Nanoplates Subject to Material Uncertainty
Latin American Journal of Solids and Structures
Nanoplates
surface stress
buckling
material uncertainty
nonlocal theory
sensitivity analysis
title Effect of Surface Stress on the Buckling of Nonlocal Nanoplates Subject to Material Uncertainty
title_full Effect of Surface Stress on the Buckling of Nonlocal Nanoplates Subject to Material Uncertainty
title_fullStr Effect of Surface Stress on the Buckling of Nonlocal Nanoplates Subject to Material Uncertainty
title_full_unstemmed Effect of Surface Stress on the Buckling of Nonlocal Nanoplates Subject to Material Uncertainty
title_short Effect of Surface Stress on the Buckling of Nonlocal Nanoplates Subject to Material Uncertainty
title_sort effect of surface stress on the buckling of nonlocal nanoplates subject to material uncertainty
topic Nanoplates
surface stress
buckling
material uncertainty
nonlocal theory
sensitivity analysis
url http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252015000901666&lng=en&tlng=en
work_keys_str_mv AT isradebe effectofsurfacestressonthebucklingofnonlocalnanoplatessubjecttomaterialuncertainty
AT sadali effectofsurfacestressonthebucklingofnonlocalnanoplatessubjecttomaterialuncertainty