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Application of isogeometric method for shear buckling study of graded porous nanocomposite folded plates

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Abstract

The present study employs isogeometric analysis (IGA) to investigate the shear buckling instability of functionally graded porous nanocomposite folded (FG-PNF) plates reinforced by graphene platelets (GPLs). The distribution of GPLs along the thickness direction is assumed to be uniform or non-uniform, and both symmetric and asymmetric porosity distributions are included. The weak form equation is derived using a logarithmic higher-order shear deformation theory (HSDT) as a displacement field according to the principle of virtual work. To analyze folded plates, the geometry is divided into two patches, and the stability equations of each patch are discretized using IGA as a reliable and effective numerical method. The stiffens and geometric stiffness matrices of each patch are transformed into the global coordinate system for assembling, and the continuity condition along the intersection line is satisfied by adding the stiffness matrix of the bending strip to the total stiffness matrix of the FG-PNF plate. A comprehensive comparison study is conducted to demonstrate the accuracy and reliability of the proposed methodology. Finally, parametric studies are carried out to investigate the effects of FG distribution of materials, crank angle, general boundary conditions and geometrical parameters on the critical shear buckling load of FG-LNF plates.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Lamerd Branch, Islamic Azad University, Lamerd, Iran

    Hassan Mohammadi

  2. Cyber-Physical Simulation Group, Department of Mechanical Engineering, Technical University of Darmstadt, Dolivostr. 15, Darmstadt, 64293, Hessen, Germany

    Mohammad Shojaee

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  1. Hassan Mohammadi
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Hassan Mohammadi and Mohammad Shojaee were responsible for writing—reviewing and editing, writing—original draft, visualization, validation, supervision, software, resources, project administration, methodology, investigation, funding acquisition, formal analysis, data curation and conceptualization.

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Correspondence to Hassan Mohammadi.

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Mohammadi, H., Shojaee, M. Application of isogeometric method for shear buckling study of graded porous nanocomposite folded plates. Arch Appl Mech 94, 315–331 (2024). https://doi.org/10.1007/s00419-023-02522-0

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