Publication:
Static and dynamic analyses of nanoscale rectangular plates incorporating surface energy

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eg-ar-yasothor-2017.pdf (6.35 MB)

Issued Date

2017-08-01

Resource Type

Article

Resource Version

Submitted Manuscript Under Review

ISSN

00015970

DOI

10.1007/s00707-015-1521-1

Other identifier(s)

2-s2.0-84954178064

Rights

Mahidol University

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SCOPUS

Bibliographic Citation

Acta Mechanica. Vol.228, No.8 (2017), 2849-2863

Suggested Citation

Y. Sapsathiarn, R. K.N.D. Rajapakse Static and dynamic analyses of nanoscale rectangular plates incorporating surface energy. Acta Mechanica. Vol.228, No.8 (2017), 2849-2863. doi:10.1007/s00707-015-1521-1 Retrieved from: https://repository.li.mahidol.ac.th/handle/20.500.14594/42573

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Title

Static and dynamic analyses of nanoscale rectangular plates incorporating surface energy

Author(s)

Y. Sapsathiarn
 R. K.N.D. Rajapakse

Other Contributor(s)

Mahidol University
 Carleton University

Abstract

© 2016, Springer-Verlag Wien. In this paper, the Gurtin–Murdoch continuum theory is applied to develop a new continuum mechanics model for static and dynamic analyses of nanoscale rectangular plates. The relevant governing equations are established from basic principles. Analytical solutions for static and free vibration of nanoscale rectangular plates are presented for selected boundary conditions. A finite element method for the analysis of rectangular nanoplates is also developed to solve general cases that cannot be solved analytically. Expressions for stiffness and mass matrices and the load vector are derived by using a weighted residual formulation. A selected set of numerical results is presented to investigate the size-dependent static and free vibration response of plates and the influence of surface material properties and boundary conditions.

Keyword(s)

Engineering

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URI

https://repository.li.mahidol.ac.th/handle/20.500.14594/42573

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Scopus 2016-2017