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<p>This research delves into the thermo-mechanical 3D wave propagation of foam functionally graded nanoplates with a stretching effect in thermal and magnetic fields using higher-order shear deformation theory and nonlocal strain gradient elasticity theory. The nanoplate consists of a ceramic–metal gradient, combining Si₃N₄ and Ni materials, and includes porosity effects. Two porosity distribution models are considered to represent the foam structure. The governing wave propagation equations are derived using Hamilton’s principle and solved analytically via the Navier method under simply supported boundary conditions. A comprehensive parametric analysis examines the influence of foam type, porosity profile, magnetic field strength, thermal load, and volumetric graphene reinforcement on wave characteristics. The results demonstrate that frequency, phase velocity, and group velocity can be effectively tuned by altering the magnetic field intensity and graphene content under thermal environments. The novelty lies in modeling a functionally graded porous nanoplate with thickness-dependent porosity under nonlocal theory, providing analytical insights into coupled thermo-magneto-mechanical behavior. The findings offer valuable implications for designing nanosensor systems intended for aerospace applications operating under extreme temperatures.</p>

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Effect of the GPL reinforcement on the 3D wave propagation of foam FGM nanoplate with stretching effect

  • 期刊论文

  • 发表日期：

    2025年7月30日

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  • Mustafa Eroğlu

摘要

This research delves into the thermo-mechanical 3D wave propagation of foam functionally graded nanoplates with a stretching effect in thermal and magnetic fields using higher-order shear deformation theory and nonlocal strain gradient elasticity theory. The nanoplate consists of a ceramic–metal gradient, combining Si₃N₄ and Ni materials, and includes porosity effects. Two porosity distribution models are considered to represent the foam structure. The governing wave propagation equations are derived using Hamilton’s principle and solved analytically via the Navier method under simply supported boundary conditions. A comprehensive parametric analysis examines the influence of foam type, porosity profile, magnetic field strength, thermal load, and volumetric graphene reinforcement on wave characteristics. The results demonstrate that frequency, phase velocity, and group velocity can be effectively tuned by altering the magnetic field intensity and graphene content under thermal environments. The novelty lies in modeling a functionally graded porous nanoplate with thickness-dependent porosity under nonlocal theory, providing analytical insights into coupled thermo-magneto-mechanical behavior. The findings offer valuable implications for designing nanosensor systems intended for aerospace applications operating under extreme temperatures.