Out-of-plane static analysis of Nanoarches using Eringen's nonlocal elasticity theory

Serhan Aydin Aya; Ekrem Tufekci

doi:10.11159/icnfa16.143

Out-of-plane static analysis of Nanoarches using Eringen's nonlocal elasticity theory

Serhan Aydin Aya, Ekrem Tufekci

Department of Mechanical Engineering

Istanbul Technical University

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

Out-of-plane static behavior of circular nanobeams with point loads are investigated. Inclusion of small length scales such as lattice spacing between atoms, surface properties, grain size etc. are considered in the analysis by employing Eringen's nonlocal elasticity theory in the formulations. The nonlocal equations are arranged in cylindrical coordinates and applied to the beam theory. The effect of shear deformation is considered. The governing differential equations are solved exactly by using the initial value method. The displacements, rotation angle about the normal and tangential axes and the force resultants are established.

Original language	English
Title of host publication	Proceedings of the 2nd World Congress on New Technologies, NEWTECH 2016
Publisher	Avestia Publishing
ISBN (Print)	9781927877265
DOIs	https://doi.org/10.11159/icnfa16.143
Publication status	Published - 2016
Event	Proceedings of the 2nd World Congress on New Technologies, NEWTECH 2016 - Budapest, Hungary Duration: 18 Aug 2016 → 19 Aug 2016

Publication series

Name	Proceedings of the World Congress on New Technologies
ISSN (Electronic)	2369-8128

Conference

Conference	Proceedings of the 2nd World Congress on New Technologies, NEWTECH 2016
Country/Territory	Hungary
City	Budapest
Period	18/08/16 → 19/08/16

Bibliographical note

Publisher Copyright:
© Avestia Publishing, 2017.

Keywords

Exact solution
Initial value method
Nanoarches
Nonlocal elasticity
Out-of-plane statics

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10.11159/icnfa16.143

Cite this

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title = "Out-of-plane static analysis of Nanoarches using Eringen's nonlocal elasticity theory",

abstract = "Out-of-plane static behavior of circular nanobeams with point loads are investigated. Inclusion of small length scales such as lattice spacing between atoms, surface properties, grain size etc. are considered in the analysis by employing Eringen's nonlocal elasticity theory in the formulations. The nonlocal equations are arranged in cylindrical coordinates and applied to the beam theory. The effect of shear deformation is considered. The governing differential equations are solved exactly by using the initial value method. The displacements, rotation angle about the normal and tangential axes and the force resultants are established.",

keywords = "Exact solution, Initial value method, Nanoarches, Nonlocal elasticity, Out-of-plane statics",

author = "Aya, {Serhan Aydin} and Ekrem Tufekci",

note = "Publisher Copyright: {\textcopyright} Avestia Publishing, 2017.; Proceedings of the 2nd World Congress on New Technologies, NEWTECH 2016 ; Conference date: 18-08-2016 Through 19-08-2016",

year = "2016",

doi = "10.11159/icnfa16.143",

language = "English",

isbn = "9781927877265",

series = "Proceedings of the World Congress on New Technologies",

publisher = "Avestia Publishing",

booktitle = "Proceedings of the 2nd World Congress on New Technologies, NEWTECH 2016",

address = "Canada",

}

Aya, SA & Tufekci, E 2016, Out-of-plane static analysis of Nanoarches using Eringen's nonlocal elasticity theory. in Proceedings of the 2nd World Congress on New Technologies, NEWTECH 2016. Proceedings of the World Congress on New Technologies, Avestia Publishing, Proceedings of the 2nd World Congress on New Technologies, NEWTECH 2016, Budapest, Hungary, 18/08/16. https://doi.org/10.11159/icnfa16.143

Out-of-plane static analysis of Nanoarches using Eringen's nonlocal elasticity theory. / Aya, Serhan Aydin; Tufekci, Ekrem.
Proceedings of the 2nd World Congress on New Technologies, NEWTECH 2016. Avestia Publishing, 2016. (Proceedings of the World Congress on New Technologies).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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Y1 - 2016

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AB - Out-of-plane static behavior of circular nanobeams with point loads are investigated. Inclusion of small length scales such as lattice spacing between atoms, surface properties, grain size etc. are considered in the analysis by employing Eringen's nonlocal elasticity theory in the formulations. The nonlocal equations are arranged in cylindrical coordinates and applied to the beam theory. The effect of shear deformation is considered. The governing differential equations are solved exactly by using the initial value method. The displacements, rotation angle about the normal and tangential axes and the force resultants are established.

KW - Exact solution

KW - Initial value method

KW - Nanoarches

KW - Nonlocal elasticity

KW - Out-of-plane statics

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T3 - Proceedings of the World Congress on New Technologies

BT - Proceedings of the 2nd World Congress on New Technologies, NEWTECH 2016

PB - Avestia Publishing

T2 - Proceedings of the 2nd World Congress on New Technologies, NEWTECH 2016

Y2 - 18 August 2016 through 19 August 2016

ER -

Out-of-plane static analysis of Nanoarches using Eringen's nonlocal elasticity theory

Abstract

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Keywords

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