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A comprehensive computational approach for nonlinear thermal instability of the electrically FG-GPLRC disk based on GDQ method

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Abstract

This is a fundamental study on the buckling temperature and post-buckling analysis of functionally graded graphene nanoplatelet-reinforced composite (FG-GPLRC) disk covered with a piezoelectric actuator and surrounded by the nonlinear elastic foundation. The matrix material is reinforced with graphene nanoplatelets (GPLs) at the nanoscale. The displacement–strain of thermal post-buckling of the FG-GPLRC disk via third-order shear deformation theory and using Von Karman nonlinear plate theory is obtained. The equations of the model are derived from Hamilton’s principle and solved by the generalized differential quadrature method. The direct iterative approach is presented for solving the set of equations that includes highly nonlinear parameters. Finally, the results show that the radius ratio of outer to the inner (Ro/Ri), the geometrical parameter of GPLs, nonlinear elastic foundation, externally applied voltage, and piezoelectric thickness play an essential impact on the thermal post-buckling response of the piezoelectrically FG-GPLRC disk surrounded by the nonlinear elastic foundation. Another important consequence is that, when the effect of the elastic foundation is considered, there is a sinusoidal effect from the Ro/Ri parameter on the thermal post-buckling of the disk and this matter is true for both boundary conditions.

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Acknowledgements

Funding was provide by National Natural Science Foundation of China (Grant No. 51675148).

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Authors and Affiliations

  1. School of Mechanical Engineering, Hangzhou Dianzi University, Hangzhou, 310018, China

    M. S. H. Al-Furjan

  2. State Key Laboratory of Silicon Materials, School of Materials Science and Engineering, Zhejiang University, Hangzhou, 310027, China

    M. S. H. Al-Furjan

  3. Department of Mechanics, Faculty of Engineering, Imam Khomeini International University, Qazvin, Iran

    Hamed Safarpour

  4. Institute of Research and Development, Duy Tan University, Da Nang, 550000, Vietnam

    Mostafa Habibi

  5. Faculty of Electrical–Electronic Engineering, Duy Tan University, Da Nang, 550000, Vietnam

    Mostafa Habibi

  6. Department of Mechanical Engineering, Faculty of Engineering, Tarbiat Modares University, Tehran, Iran

    Mehran Safarpour

  7. Material and Hydrology Laboratory, Civil Engineering Department, Faculty of Technology, University of Sidi Bel Abbes, Sidi Bel Abbès, Algeria

    Abdelouahed Tounsi

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  1. M. S. H. Al-Furjan
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  2. Hamed Safarpour
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  3. Mostafa Habibi
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  5. Abdelouahed Tounsi
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Correspondence to Mostafa Habibi or Abdelouahed Tounsi.

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Al-Furjan, M.S.H., Safarpour, H., Habibi, M. et al. A comprehensive computational approach for nonlinear thermal instability of the electrically FG-GPLRC disk based on GDQ method. Engineering with Computers 38, 801–818 (2022). https://doi.org/10.1007/s00366-020-01088-7

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