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<p>A novel and straightforward first-order shear deformation theory (FSDT) has been developed to analyze the buckling behavior of isotropic and orthotropic composite plates. Unlike traditional FSDTs, such as those proposed by Reissner and Mindlin, this new approach introduces an innovative formulation that requires only four unknown functions instead of five. This reduction is achieved by explicitly incorporating the bending and shear components of the transverse displacement, augmented by optimized shear correction factors. The main contributions of this study include: (1) the derivation of simplified yet accurate governing equations using Hamilton’s principle, (2) the development of a closed-form solution for a simply supported rectangular plate under in-plane loading via Navier’s method, and (3) the demonstration of the theory’s superior accuracy and computational efficiency compared to classical plate theory, traditional FSDT, and higher-order theories such as Reddy’s plate theory (RPT). Benchmark examples highlight that the proposed theory closely matches the performance of RPT while maintaining a lower computational complexity.</p>

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Mechanical behavior of composite structures using a new refined first-order model

  • 期刊论文

  • 发表日期：

    2025年1月29日

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  • Yassine Khalfi,
  • Benoumrane Sallai,
  • Soufiane Guella,
  • Lynda Amel Bouayed,
  • Bachir Bouiadjra Bachir

摘要

A novel and straightforward first-order shear deformation theory (FSDT) has been developed to analyze the buckling behavior of isotropic and orthotropic composite plates. Unlike traditional FSDTs, such as those proposed by Reissner and Mindlin, this new approach introduces an innovative formulation that requires only four unknown functions instead of five. This reduction is achieved by explicitly incorporating the bending and shear components of the transverse displacement, augmented by optimized shear correction factors. The main contributions of this study include: (1) the derivation of simplified yet accurate governing equations using Hamilton’s principle, (2) the development of a closed-form solution for a simply supported rectangular plate under in-plane loading via Navier’s method, and (3) the demonstration of the theory’s superior accuracy and computational efficiency compared to classical plate theory, traditional FSDT, and higher-order theories such as Reddy’s plate theory (RPT). Benchmark examples highlight that the proposed theory closely matches the performance of RPT while maintaining a lower computational complexity.