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Analytical solution for static and free vibration analysis of functionally graded CNT-reinforced sandwich plates

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Abstract

In this work, application of trigonometric shear deformation theory (TSDT) with the Navier’s solution technique is explored to determine the static, free vibration and corresponding mode shape of carbon nanotubes (CNTs)-reinforced sandwich plates for different stacking sequences with different material properties. In the TSDT, the distribution of the displacement is nonlinear along the thickness of the plate. Detailed investigation is carried out after validating the obtained results with the results presented in the existing literature. The deflections, stresses, natural frequency and corresponding mode shape of functionally graded (FG) CNTs-reinforced sandwich plates with different span thickness ratios, core to face sheet thickness ratios, volume fractions and distribution of CNTs are presented and studied in detail.

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Acknowledgments

The corresponding author acknowledges IIT (BHU) for supporting this work.

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  1. Department of Civil Engineering, Indian Institute of Technology (Banaras Hindu University), Varanasi, UP, 221005, India

    Surya Dev Singh & Rosalin Sahoo

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  1. Surya Dev Singh
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  2. Rosalin Sahoo
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Correspondence to Rosalin Sahoo.

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Singh, S.D., Sahoo, R. Analytical solution for static and free vibration analysis of functionally graded CNT-reinforced sandwich plates. Arch Appl Mech 91, 3819–3834 (2021). https://doi.org/10.1007/s00419-021-01979-1

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