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Structural Engineering and Mechanics
  Volume 65, Number 4, February25 2018 , pages 465-476
DOI: https://doi.org/10.12989/sem.2018.65.4.465
 


Stability analysis of porous multi-phase nanocrystalline nonlocal beams based on a general higher-order couple-stress beam model
Farzad Ebrahimi and Mohammad Reza Barati

 
Abstract
    This article investigates buckling behavior of a multi-phase nanocrystalline nanobeam resting on Winkler-Pasternak foundation in the framework of nonlocal couple stress elasticity and a higher order refined beam model. In this model, the essential measures to describe the real material structure of nanocrystalline nanobeams and the size effects were incorporated. This non-classical nanobeam model contains couple stress effect to capture grains micro-rotations. Moreover, the nonlocal elasticity theory is employed to study the nonlocal and long-range interactions between the particles. The present model can degenerate into the classical model if the nonlocal parameter, and couple stress effects are omitted. Hamilton\'s principle is employed to derive the governing equations and the related boundary conditions which are solved applying an analytical approach. The buckling loads are compared with those of nonlocal couple stress-based beams. It is showed that buckling loads of a nanocrystalline nanobeam depend on the grain size, grain rotations, porosities, interface, elastic foundation, shear deformation, surface effect, nonlocality and boundary conditions.
 
Key Words
    buckling; higher-order theory; nanocrystalline nanobeam; nonlocal couple stress theory
 
Address
Farzad Ebrahimi and Mohammad Reza Barati: Department of Mechanical Engineering, Faculty of Engineering, Imam Khomeini International University, Qazvin, Iran P.O.B. 16818-34149
 

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