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The effects of the foam and FGM distributions on thermomechanical buckling response of sandwich plates

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Abstract

This study investigates the thermomechanical buckling properties of sandwich plates containing functionally graded layers, isotropic layers, and foam core layers. The sinusoidal high order shear theory is employed as a modeling tool to accomplish this objective. The energy equation of the sandwich plate is utilized by incorporating the displacement and strain of each layer into the equations of motion. Moreover, the equation accounts for the nonlinearity of temperature escalation. The sandwich plate is created by layering functional grading and/or applying ceramic Si3N4 (silicon nitride) and metal Inconel718 material in an isotropic manner. This approach is used to analyze five distinct plate behaviors. This study examines five symmetrical sandwich plates, which is a departure from previous research. Some models include a foam core layer with a void fraction of 60%. The analysis findings suggest that the foam void ratio, foam distribution within the layer height, and the materials used for different layer types have a significant impact on the buckling behavior of the sandwich plate.

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Authors and Affiliations

  1. Mechanical Engineering Department, Karabuk University, Karabuk, Turkey

    Ismail Esen & Erhan Eren

  2. Civil Engineering Department, Karabuk University, Karabuk, Turkey

    Zehra Sule Garip

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  1. Ismail Esen
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Appendix

Appendix

The shape functions or all boundary conditions is presented in below table: See Table 4.

Table 4 \(x\)m and \(y\)n functions for different boundary conditions [54] (Sobhy 2013)
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Esen, I., Garip, Z.S. & Eren, E. The effects of the foam and FGM distributions on thermomechanical buckling response of sandwich plates. Acta Mech 235, 1319–1343 (2024). https://doi.org/10.1007/s00707-023-03808-8

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