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A novel higher-order modeling of an auxetic metamaterial reinforced cylindrical shell

  • Mohanad Hatem Shadhar (Department of Civil Engineering, College of Engineering, Al-Iraqia University) ;
  • Zaid A. Mohammed (Al-Bayan University, Technical College of Engineering, Department of Medical Instrument Technical Engineering) ;
  • Yasir W. Abduljaleel (Department of Civil Engineering, College of Engineering, Al-Iraqia University) ;
  • Juan Jose Flores Fiallos (Universidad Nacional de Chimborazo) ;
  • Lenin Santiago Orozco Cantos (Universidad Nacional de Chimborazo) ;
  • Victor Miguel Toalombo Vargas (Universidad Nacional de Chimborazo) ;
  • Navin Kedia (NIMS School of Civil Engineering, NIMS University Rajasthan) ;
  • Muhannad Riyadh Alasiri (Civil Engineering Department, College of Engineering, King Khalid University) ;
  • Saiful Islam (Civil Engineering Department, College of Engineering, King Khalid University)
  • Received : 2024.09.17
  • Accepted : 2025.07.22
  • Published : 2025.10.25
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Abstract

This research advances a sophisticated continuum framework for analyzing cylindrical shells enhanced by auxetic (negative Poisson's ratio) metamaterial cores. A unique kinematic description, specifically formulated to capture non-uniform strain distributions through the shell's thickness, replaces conventional shear deformation theories. The analyzed composite system integrates a metallic phase (copper) incorporating architectured, three-dimensional graphene-origami reinforcements. The effective macroscopic properties of this complex material are determined via an empirically-informed micromechanical homogenization scheme, enabling the rigorous definition of constitutive behavior within the shell's intrinsic curvilinear geometry. Governing equations describing the coupled structural response are systematically derived through an energy-based variational principle. A comprehensive numerical investigation then explores the influence of critical design parameters on the shell's mechanical performance under quasi-static transverse loading. Key variables examined include the geometric folding characteristics of the graphene-origami reinforcement, its volumetric concentration within the matrix, and the effect of uniform and non-uniform thermal field environments. Results quantitatively illustrate the significant impact of these factors on load-displacement characteristics, stress redistribution, and the overall structural efficiency of the auxetic-reinforced shell system.

Keywords

Acknowledgement

The authors extend their appreciation to the Deanship of Research and Graduate Studies at King Khalid University for funding this work through Large Research Project under grant number RGP2/601/45.

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