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Structural responses of functionally graded graphene nanoplatelets-reinforced composite plates using inverse hyperbolic shear deformation theory.

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Title: Structural responses of functionally graded graphene nanoplatelets-reinforced composite plates using inverse hyperbolic shear deformation theory.
Authors: Kumar, Sumit1 (AUTHOR) sumit.sumit903@gmail.com, Sahoo, Rosalin1 (AUTHOR) rosalin.civ@iitbhu.ac.in, Panda, Rachit1 (AUTHOR) rachitpanda.rs.civ24@itbhu.ac.in
Source: Archive of Applied Mechanics. Dec2025, Vol. 95 Issue 12, p1-21. 21p.
Subject Terms: *COMPOSITE plates, *GRAPHENE, *FINITE element method, *FUNCTIONALLY gradient materials, *MECHANICAL vibration research, *MECHANICAL buckling, *SHEAR (Mechanics)
Abstract: In this work, the inverse hyperbolic shear deformation theory (IHSDT) is used to examine the bending, buckling, and free vibration responses of functionally graded graphene nanoplatelets-reinforced composite (FG-GNPRC) plates. This theory ensures that there are no traction forces on both the top and bottom sides of the plate. It achieves this without needing to use a shear correction factor, and it allows for a nonlinear distribution of transverse shear stresses across the plate. The study utilizes a finite element approach incorporating a nonlinear function based on inverse hyperbolic sine function. A C0 finite element model is created for the GNPRC plate in the framework of IHSDT to determine the structural responses of the plate in MATLAB environment. It studies graphene nanoplatelets (GPLs) distributions, patterned as UD, FG-X, FG-O, and FG-A throughout the thickness in composite plate. The weight fraction (wt%) of GPLs varies along the thickness direction and is evenly distributed throughout the matrix of each layer, follows a specific distribution pattern. The Halpin–Tsai micromodel is used to estimate the effective Young's modulus of the GNPRC plate, and the rule of mixtures is used to calculate the Poisson's ratio and mass density. The plate domain is discretized using an eight-noded elements, each with 56 degrees of freedom. Further the analysis looks at the effects of a variety of factors, including the number of layers (NL) of GNPRC plate, length/thickness, and length/width ratio of GPLs, wt% of GPLs, and dispersion patterns of GPLs on the structural responses of FG-GNPRC plate. The numerical results demonstrate that the rigidity of plates can be significantly enhances by incorporating GPLs and the outcomes were compared with prior findings in order to evaluate the performance and effectiveness of the suggested mathematical approach. [ABSTRACT FROM AUTHOR]
Database: Academic Search Index
Description
Abstract:In this work, the inverse hyperbolic shear deformation theory (IHSDT) is used to examine the bending, buckling, and free vibration responses of functionally graded graphene nanoplatelets-reinforced composite (FG-GNPRC) plates. This theory ensures that there are no traction forces on both the top and bottom sides of the plate. It achieves this without needing to use a shear correction factor, and it allows for a nonlinear distribution of transverse shear stresses across the plate. The study utilizes a finite element approach incorporating a nonlinear function based on inverse hyperbolic sine function. A C0 finite element model is created for the GNPRC plate in the framework of IHSDT to determine the structural responses of the plate in MATLAB environment. It studies graphene nanoplatelets (GPLs) distributions, patterned as UD, FG-X, FG-O, and FG-A throughout the thickness in composite plate. The weight fraction (wt%) of GPLs varies along the thickness direction and is evenly distributed throughout the matrix of each layer, follows a specific distribution pattern. The Halpin–Tsai micromodel is used to estimate the effective Young's modulus of the GNPRC plate, and the rule of mixtures is used to calculate the Poisson's ratio and mass density. The plate domain is discretized using an eight-noded elements, each with 56 degrees of freedom. Further the analysis looks at the effects of a variety of factors, including the number of layers (NL) of GNPRC plate, length/thickness, and length/width ratio of GPLs, wt% of GPLs, and dispersion patterns of GPLs on the structural responses of FG-GNPRC plate. The numerical results demonstrate that the rigidity of plates can be significantly enhances by incorporating GPLs and the outcomes were compared with prior findings in order to evaluate the performance and effectiveness of the suggested mathematical approach. [ABSTRACT FROM AUTHOR]
ISSN:09391533
DOI:10.1007/s00419-025-02971-9