Journal
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
Volume 116, Issue -, Pages 1-11Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijengsci.2017.03.007
Keywords
Nanoporous nanobeam; Wave dispersion; Nonlocal strain gradient; Phase velocity; Thermal loading
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In this paper, a general bi-Helmholtz nonlocal strain-gradient elasticity model is developed for wave dispersion analysis of porous double-nanobeam systems in thermal environments. The present model incorporates three scale coefficients to examine wave dispersion relations much accurately. Porosity-dependent material properties of inhomogeneous nanobeams are defined via a modified power-law function. Based on Hamilton's principle, the governing equations of double-nanobeam system on elastic substrate are obtained. Solving analytically these equations gives wave frequencies and phase velocities as a function of wave number. It is demonstrated that phase velocities of a nanoporous double-nanobeam system rely on the porosities, thermal loading, material gradation, non local parameters, strain gradient parameter, interlayer springs, elastic substrate and wave number. (C) 2017 Elsevier Ltd. All rights reserved.
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