<p>This study introduces a multifunctional hybrid sandwich plate that integrates an auxetic honeycomb (AH) core with laminated functionally graded carbon nanotube-reinforced composite (FG-CNTRC) face sheets, hereafter referred to as the AH-FGCNTRC sandwich plate. By combining the negative Poisson’s ratio characteristics of auxetic cores with the stiffness-tailoring capability of CNT-reinforced graded laminates, the proposed configuration enables simultaneous lightweight design, enhanced load-carrying capacity, and improved vibration performance. An accurate and computationally efficient analytical model is developed within the framework of Reddy’s third-order shear deformation theory (RTSDT), allowing precise representation of transverse shear effects without the need for empirical correction factors. The governing equations are derived using Hamilton’s principle and solved through a Navier-type analytical procedure. The formulation is validated against benchmark solutions to demonstrate its reliability for engineering analysis and design. A comprehensive parametric investigation is conducted to evaluate the influence of auxetic geometric parameters, CNT distribution patterns (UD, FG-V, FG-X, FG-O), nanotube orientation, and laminate stacking sequences on the static deflection and natural frequencies of the hybrid plate. The results demonstrate that coordinated tuning of core topology and face-sheet gradation provides significant flexibility in controlling stiffness, weight efficiency, and vibration characteristics.</p>

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Hybrid Sandwich Plates with Auxetic Honeycomb Cores and Laminated FG-CNTRC Face Sheets: Analytical Investigation of Static and Vibrational Behavior

  • Viet-Tam Tran,
  • Thanh-Tung Pham,
  • Hoang-Nam Nguyen,
  • Minh-Tu Tran

摘要

This study introduces a multifunctional hybrid sandwich plate that integrates an auxetic honeycomb (AH) core with laminated functionally graded carbon nanotube-reinforced composite (FG-CNTRC) face sheets, hereafter referred to as the AH-FGCNTRC sandwich plate. By combining the negative Poisson’s ratio characteristics of auxetic cores with the stiffness-tailoring capability of CNT-reinforced graded laminates, the proposed configuration enables simultaneous lightweight design, enhanced load-carrying capacity, and improved vibration performance. An accurate and computationally efficient analytical model is developed within the framework of Reddy’s third-order shear deformation theory (RTSDT), allowing precise representation of transverse shear effects without the need for empirical correction factors. The governing equations are derived using Hamilton’s principle and solved through a Navier-type analytical procedure. The formulation is validated against benchmark solutions to demonstrate its reliability for engineering analysis and design. A comprehensive parametric investigation is conducted to evaluate the influence of auxetic geometric parameters, CNT distribution patterns (UD, FG-V, FG-X, FG-O), nanotube orientation, and laminate stacking sequences on the static deflection and natural frequencies of the hybrid plate. The results demonstrate that coordinated tuning of core topology and face-sheet gradation provides significant flexibility in controlling stiffness, weight efficiency, and vibration characteristics.