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Wave propagation analysis of quasi-3D FG nanobeams in thermal environment based on nonlocal strain gradient theory.

Authors :
Ebrahimi, Farzad
Barati, Mohammad
Source :
Applied Physics A: Materials Science & Processing. Sep2016, Vol. 122 Issue 9, p1-15. 15p. 1 Diagram, 2 Charts, 7 Graphs.
Publication Year :
2016

Abstract

This article examines the application of nonlocal strain gradient elasticity theory to wave dispersion behavior of a size-dependent functionally graded (FG) nanobeam in thermal environment. The theory contains two scale parameters corresponding to both nonlocal and strain gradient effects. A quasi-3D sinusoidal beam theory considering shear and normal deformations is employed to present the formulation. Mori-Tanaka micromechanical model is used to describe functionally graded material properties. Hamilton's principle is employed to obtain the governing equations of nanobeam accounting for thickness stretching effect. These equations are solved analytically to find the wave frequencies and phase velocities of the FG nanobeam. It is indicated that wave dispersion behavior of FG nanobeams is significantly affected by temperature rise, nonlocality, length scale parameter and material composition. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
09478396
Volume :
122
Issue :
9
Database :
Academic Search Index
Journal :
Applied Physics A: Materials Science & Processing
Publication Type :
Academic Journal
Accession number :
130318173
Full Text :
https://doi.org/10.1007/s00339-016-0368-1