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<p>This study explores the thermomechanical 3D wave propagation behavior of a sandwich nanosensor plate with an auxetic core, leveraging nonlocal strain gradient elasticity and sinusoidal higher-order shear deformation theories. The plate comprises functionally graded ceramic (Si<sub>3</sub>N<sub>4</sub>) and metal (Ti<sub>6</sub>Al<sub>4</sub>V) face layers, with an auxetic Ti<sub>6</sub>Al<sub>4</sub>V core having a negative Poisson's ratio. Governing equations are derived using Hamilton's principle, leading to the Navier solution for 3D wave propagation. The results indicate that increasing the <i>β₁</i> parameter enhances phase velocities and wave frequencies, while smaller <i>β₃</i> values significantly impact stiffness and frequency. These findings provide a framework for optimizing the design of nanosensors, ensuring improved performance and reliability in high-temperature applications across various industries.</p>

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The effect of an auxetic core layer and symmetric FGM face layers on the 3D wave propagation response of sandwich nanoplates

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年2月19日

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  • Mustafa Eroğlu,
  • İsmail Esen,
  • Mehmet Akif Koç

摘要

This study explores the thermomechanical 3D wave propagation behavior of a sandwich nanosensor plate with an auxetic core, leveraging nonlocal strain gradient elasticity and sinusoidal higher-order shear deformation theories. The plate comprises functionally graded ceramic (Si3N4) and metal (Ti6Al4V) face layers, with an auxetic Ti6Al4V core having a negative Poisson's ratio. Governing equations are derived using Hamilton's principle, leading to the Navier solution for 3D wave propagation. The results indicate that increasing the β₁ parameter enhances phase velocities and wave frequencies, while smaller β₃ values significantly impact stiffness and frequency. These findings provide a framework for optimizing the design of nanosensors, ensuring improved performance and reliability in high-temperature applications across various industries.