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Advances in Nano Research
  Volume 11, Number 1, July 2021 , pages 055-71
DOI: https://doi.org/10.12989/anr.2021.11.1.055
 


Mechanical analysis of bi-functionally graded sandwich nanobeams
Doan Trac Luat, Do Van Thom, Tran Trung Thanh, Phung Van Minh, Tran Van Ke and Pham Van Vinh

 
Abstract
    In this study, the bending, free vibration and buckling analysis of a novel bi-functionally graded sandwich nanobeam are investigated for the first time via a nonlocal refined simple shear deformation theory. The novel sandwich beam consists of one ceramic core and two different functionally graded face sheets, which has a significant potential application in various fields of practical engineering and industry. The Eringen's nonlocal elastic theory has been used in cooperation with a refined simple shear deformation theory as well as Hamilton's principle to derive the equations of motion. Closed-form solution based on Navier's technique is used to solve the equations of motion of simply supported nanobeams. The present numerical results are compared with the available solutions to demonstrate the accuracy of the present theory. The influence of some parameters such as the slender ratio, the power-law index, the skin-core-skin thicknesses and the small-scale parameter on the bending, free vibration and buckling behavior of bi-functionally graded sandwich nanobeams are carried out carefully.
 
Key Words
    bi-functionally graded sandwich beams; nanobeams; nonlocal theory; refined simple shear deformation theory; sandwich beams
 
Address
Doan Trac Luat, Do Van Thom, Tran Trung Thanh, Phung Van Minh, Tran Van Ke and Pham Van Vinh: Department of Solid Mechanics, Le Quy Don Technical University, 236 Hoang Quoc Viet, North Tu Liem, Hanoi, Vietnam
 

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