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

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Haghani Ahmad

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Journal Paper

Paper Information

Journal: Mechanics of Advanced and Smart Materials journal Year:2024 | Volume:4 | Issue:3 Page(s): 328-349

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Information Journal Paper

Title

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

Author(s)

Haghani Ahmad | Issue Writer Certificate

Keywords

Nonlocal strain gradient theory

buckling of beam

Composite

Graphene nano-platelets

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.

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