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Postbuckling of viscoelastic micro/nanobeams embedded in visco-Pasternak foundations based on the modified couple stress theory

Postbuckling of viscoelastic micro/nanobeams embedded in visco-Pasternak foundations based on the... This paper investigates the postbuckling analysis of a viscoelastic microbeam embedded in a double layer viscoelastic foundation. This viscoelastic microbeam is modeled using the Kelvin–Voigt model and the modified couple stress theory. A material length scale parameter is utilized to describe the size-dependent behavior of the viscoelastic microbeam. The visco-Pasternak foundation used in this study contains a viscoelastic medium and a shear layer. This microbeam is subjected to an axial compressive load at the beam ends which can change as a function of time. According to the Euler–Bernoulli beam theory and von-Karman nonlinearity, the time-dependent equations of motion are derived by Hamilton’s principle. The nonlinear equations of motion are directly solved under the simply supported boundary condition. Both time-dependent deflection and viscoelastic buckling load are investigated. Finally, the influences of the material length scale parameter, parameters of the visco-Pasternak foundation and the material viscosity coefficient on the dynamic postbuckling response are studied. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Mechanics of Time-Dependent Materials Springer Journals

Postbuckling of viscoelastic micro/nanobeams embedded in visco-Pasternak foundations based on the modified couple stress theory

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References (70)

Publisher
Springer Journals
Copyright
Copyright © Springer Nature B.V. 2019
Subject
Engineering; Solid Mechanics; Classical Mechanics; Characterization and Evaluation of Materials; Polymer Sciences
ISSN
1385-2000
eISSN
1573-2738
DOI
10.1007/s11043-019-09439-8
Publisher site
See Article on Publisher Site

Abstract

This paper investigates the postbuckling analysis of a viscoelastic microbeam embedded in a double layer viscoelastic foundation. This viscoelastic microbeam is modeled using the Kelvin–Voigt model and the modified couple stress theory. A material length scale parameter is utilized to describe the size-dependent behavior of the viscoelastic microbeam. The visco-Pasternak foundation used in this study contains a viscoelastic medium and a shear layer. This microbeam is subjected to an axial compressive load at the beam ends which can change as a function of time. According to the Euler–Bernoulli beam theory and von-Karman nonlinearity, the time-dependent equations of motion are derived by Hamilton’s principle. The nonlinear equations of motion are directly solved under the simply supported boundary condition. Both time-dependent deflection and viscoelastic buckling load are investigated. Finally, the influences of the material length scale parameter, parameters of the visco-Pasternak foundation and the material viscosity coefficient on the dynamic postbuckling response are studied.

Journal

Mechanics of Time-Dependent MaterialsSpringer Journals

Published: Dec 17, 2019

Keywords: Viscoelastic; Modified couple stress theory; Micro/nanobeams; Postbuckling; Visco-Pasternak foundation

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