Radial point interpolation‐Chebychev method with asymptotic numerical method for nonlinear buckling analysis of graphene oxide powder‐reinforced composite beams

Author:

Askour Omar12,Rammane Mohammed3,Mesmoudi Said1,Hilali Youssef45,Bourihane Oussama5

Affiliation:

1. Hassan First University of Settat Ecole Nationale des Sciences Appliquées, LISA Laboratory Berrechid Morocco

2. Mathematics, Computer Science and Communication Systems Laboratory National School of Applied Sciences of Safi, Cadi Ayyad University Safi Morocco

3. Laboratory of Materials, Signals, Systems and Physical Modeling Department of Physics, Faculty of Sciences of Agadir, University Ibn Zohr Agadir Morocco

4. Hassan First University of Settat Faculty of Sciences and Techniques Settat Morocco

5. Laboratory of Mechanical Engineering Faculty of Science and Technology Fez, University Sidi Mohamed Ben Abdellah Fez Morocco

Abstract

SummaryThis study aims to analyze the buckling and post‐buckling behaviors of multilayer nanocomposite beams reinforced with graphene oxide powders (GOPs) at low concentrations. The GOPs are randomly oriented and evenly distributed throughout the composite layers, with their weight fraction varying in the thickness direction. The Halpin‐Tsai model is employed to estimate each layer's effective material properties. The nonlinear governing equations for the FG‐GOPRC beam are derived based on the first‐order shear deformation beam theory, and a nonlinear algebraic system is formulated using the principle of potential energy. In this research, a comprehensive parametric analysis is conducted to examine the influence of various factors on the buckling and post‐buckling behaviors of the composite beams. These factors include the distribution pattern and weight fraction of graphene platelets (GPLs) nanofillers, as well as the geometry, size, slenderness ratio, and boundary conditions of the beams. Through the analysis, the study highlights the significant strengthening effect of these factors on the buckling and post‐buckling performance of the composite beams. The findings from this investigation contribute to a deeper understanding of the behavior of multilayer nanocomposite beams reinforced with GOPs. This knowledge can be valuable in designing and optimizing of composite structures for enhanced buckling resistance and post‐buckling performance.

Publisher

Wiley

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