Mechanic of Advanced and Smart Materials
Quarterly

Study of Buckling and Post-buckling Behavior of Composite Beam Reinforced with Graphene Nanoplatelets Using Non-local Strain Gradient Theory

Document Type : Original Article

Author

Ahmad Haghani

Assistant professor, Department of Mechanical Engineering, Shahrekord Branch, Islamic Azad University, Shahrekord, Iran.

https://doi.org/10.61186/masm.4.2.328
Abstract
Given the increasing use of nanotechnologies in human life and the significance of nano-electromechanical systems, this paper investigates the buckling and post-buckling behavior of Euler-Bernoulli (EB) composite beams (CB) reinforced with graphene nanoplatelets (GPLs), considering the nonlocal strain gradient theory (NSGT). Initially, the elastic properties of the nanocomposite reinforced with GPLs were calculated using the rule of mixtures and the Halpin-Tsai (HT) micromechanical model. Subsequently, the governing equations (GE) for the EB beam were derived using the virtual work principle, the NSGT, and the von Kármán (VK) strain field. These equations were analytically solved, and the achieved findings were checked against those found in existing studies, showing excellent agreement. Finally, the effects of varying the weight fraction and distribution of GPLs in the composite, changes in nonlocal parameter (NP) and strain gradient (SG) parameter, as well as the ratio of beam's length to beam’s thickness, on the critical buckling load were examined and as a results for a constant weight fraction, the critical buckling load is highest in the X pattern, followed by the U and O patterns.

Keywords

Nonlocal strain gradient theory
buckling of beam
composite
graphene nano-platelets
Mechanic of Advanced and Smart Materials
Volume 4, Issue 2
Summer 2024
Pages 328-349

  • Receive Date 26 October 2024
  • Revise Date 11 November 2024
  • Accept Date 16 November 2024

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