Buckling analysis of three-dimensional functionally graded Euler-Bernoulli nanobeams based on the nonlocal strain gradient theory

Document Type : Research Paper

Authors

1 Department of Mechanical Engineering, University of Jiroft, Jiroft, Iran

2 Department of Mechanical Engineering, Isfahan University of Technology, Isfahan, Iran

3 Engineering Graphics Center, Sharif University of Technology, Tehran, Iran

Abstract

This paper presents a nonlocal strain gradient theory for capturing size effects in buckling analysis of Euler-Bernoulli nanobeams made of three-dimensional functionally graded materials. The material properties vary according to any function. These models can degenerate to the classical models if the material length-scale parameters is assumed to be zero. The Hamilton's principle applied to drive the governing equation and boundary conditions. Generalized differential quadrature method used to solve the governing equation. The effects of some parameters, such as small-scale parameters and constant material parameters are studied.

Keywords

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Volume 53, Issue 1
March 2022
Pages 24-40
  • Receive Date: 03 November 2021
  • Revise Date: 31 January 2022
  • Accept Date: 02 February 2022
  • First Publish Date: 03 February 2022