A nonlocal elasticity approach for the in-plane static analysis of Nanoarches

Serhan Aydin Aya; Olcay Oldac; Ekrem Tufekci

doi:10.11159/icnfa16.142

A nonlocal elasticity approach for the in-plane static analysis of Nanoarches

Serhan Aydin Aya, Olcay Oldac, Ekrem Tufekci

Department of Mechanical Engineering

Istanbul Technical University

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

1 Citation (Scopus)

Abstract

Eringen's nonlocal elasticity theory is incorporated into classical beam model considering the effects of axial extension and the shear deformation to capture unique static behavior of the nanobeams under continuum mechanics theory. The governing differential equations are obtained for curved beams and solved exactly by using the initial value method. Circular uniform beam with concentrated loads are considered. The effects of shear deformation, axial extension, geometric parameters and small scale parameter on the displacements and stress resultants are investigated.

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/icnfa16.142
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
In-plane statics
Initial value method
Nanoarches
Nonlocal elasticity

Access to Document

10.11159/icnfa16.142

Cite this

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title = "A nonlocal elasticity approach for the in-plane static analysis of Nanoarches",

abstract = "Eringen's nonlocal elasticity theory is incorporated into classical beam model considering the effects of axial extension and the shear deformation to capture unique static behavior of the nanobeams under continuum mechanics theory. The governing differential equations are obtained for curved beams and solved exactly by using the initial value method. Circular uniform beam with concentrated loads are considered. The effects of shear deformation, axial extension, geometric parameters and small scale parameter on the displacements and stress resultants are investigated.",

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

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

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year = "2016",

doi = "10.11159/icnfa16.142",

language = "English",

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Aya, SA, Oldac, O & Tufekci, E 2016, A nonlocal elasticity approach for the in-plane static analysis of Nanoarches. 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/icnfa16.142

A nonlocal elasticity approach for the in-plane static analysis of Nanoarches. / Aya, Serhan Aydin; Oldac, Olcay; 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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PY - 2016

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N2 - Eringen's nonlocal elasticity theory is incorporated into classical beam model considering the effects of axial extension and the shear deformation to capture unique static behavior of the nanobeams under continuum mechanics theory. The governing differential equations are obtained for curved beams and solved exactly by using the initial value method. Circular uniform beam with concentrated loads are considered. The effects of shear deformation, axial extension, geometric parameters and small scale parameter on the displacements and stress resultants are investigated.

AB - Eringen's nonlocal elasticity theory is incorporated into classical beam model considering the effects of axial extension and the shear deformation to capture unique static behavior of the nanobeams under continuum mechanics theory. The governing differential equations are obtained for curved beams and solved exactly by using the initial value method. Circular uniform beam with concentrated loads are considered. The effects of shear deformation, axial extension, geometric parameters and small scale parameter on the displacements and stress resultants are investigated.

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A nonlocal elasticity approach for the in-plane static analysis of Nanoarches

Abstract

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Keywords

Access to Document

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