Wave propagation of functionally graded porous nanobeams based on non-local strain gradient theory

. In this paper, attention is paid to the prediction of wave propagation behaviors of functionally graded materials (FG) porous nanobeams based on Reddy’s higher-order shear deformation beam theory in conjunction with the non-local strain gradient theory. The governing equations of the porous nanobe...

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Bibliographic Details
Published in:European physical journal plus 2018-09, Vol.133 (9), p.368, Article 368
Main Authors: She, Gui-Lin, Yan, Kun-Ming, Zhang, Yan-Long, Liu, Hai-Bo, Ren, Yi-Ru
Format: Article
Language:English
Subjects:
Applied and Technical Physics
Atomic
Beam theory (structures)
Boundary conditions
Complex Systems
Condensed Matter Physics
Deformation
Eigenvalues
Euler-Bernoulli beams
Functionally gradient materials
Graphene
Hamilton's principle
Hypotheses
Inertia
Investigations
Magnetic fields
Mathematical and Computational Physics
Molecular
Optical and Plasma Physics
Parameters
Physics
Physics and Astronomy
Porosity
Porous materials
Propagation
Regular Article
Shear deformation
Theoretical
Timoshenko beams
Vibration analysis
Viscoelasticity
Wave propagation
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Summary:. In this paper, attention is paid to the prediction of wave propagation behaviors of functionally graded materials (FG) porous nanobeams based on Reddy’s higher-order shear deformation beam theory in conjunction with the non-local strain gradient theory. The governing equations of the porous nanobeams are derived with the help of the Hamilton principle. By solving an eigenvalue problem, the analytic dispersion relation is obtained. The results of Euler-Bernoulli beam and Timoshenko beam models are also presented. The influences of non-local parameter, strain gradient parameter, power law index and porosity volume fraction on the wave propagation are discussed in detail.
ISSN:2190-5444
2190-5444
DOI:10.1140/epjp/i2018-12196-5