Thermal environment effects on wave dispersion behavior of inhomogeneous strain gradient nanobeams based on higher order refined beam theory. Issue 12 (1st December 2016)

• Record Type: Journal Article
• Authors: Ebrahimi, Farzad; Barati, Mohammad Reza
• Is Part Of: Journal of thermal stresses. Volume 39:Issue 12(2016)
• Page Start: 1560
• Page End: 1571
• Publication Date: 2016-12-01
• Subjects: Mori–Tanaka model -- nonhomogeneous nanobeams -- nonlocal wave propagation -- small-scale modeling -- strain gradient theory -- thermal environment; Thermal stresses -- Periodicals; 620.1121
• DOI: 10.1080/01495739.2016.1219243
• Languages: English
• ISSNs: 0149-5739

Abstract

ABSTRACT: In this article, an analytical model for the wave propagation analysis of inhomogeneous functionally graded (FG) nanobeam in thermal environment is developed based on nonlocal strain gradient theory, in which the stress accounts for not only the nonlocal elastic stress field but also the strain gradients stress field. The nanobeam is modeled through a higher order shear deformable refined beam theory which has a trigonometric shear stress function. The temperature field supposed to have a nonlinear distribution across the nanobeam thickness. Temperature-dependent material properties of nanobeams are spatially graded based on Mori–Tanaka model. The governing equations of the temperature-dependent functionally graded (FG) nanobeam are derived using the Hamilton's principle. Numerical examples show that the characteristics of the wave propagation of FG nanobeam are influenced by various parameters such as nonlocality parameter, length scale parameter, gradient index, and temperature changes.