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Thermomechanical Buckling of FGM Skew Plate

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Design and Modeling of Mechanical Systems - V (CMSM 2021)

Part of the book series: Lecture Notes in Mechanical Engineering ((LNME))

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Abstract

In this paper, thermomechanical-buckling response of functionally graded (FGM) skew plates subjected to different thermal loadings is investigated by utilizing the finite element method based on the Love-Kirchhoff assumptions. Only membrane and bending parts are taken into account in the formulation, whereas the transverse shear strains are neglected. By using the variational principle, the weak form of equilibrium equations is derived. Then, the displacement and strain of the FGM skew plate are discretized using a four nodes finite element leading to the construction of the geometric and material stiffness matrices. The critical buckling load is determined, then by the resolution of the eigenvalue problem. Two types of thermal loadings, namely uniform and non-uniform temperature rises through the thickness direction are taken into account. The thermomechanical properties of the FGM skew plate are temperature-dependent and can vary continuously through the thickness direction of the constituents according to a power- law distribution. Different numerical simulations are performed, where the validity of the formulation is first checked through a comparative study. Next, parametric analysis is carried out. The influence of several important parameters such as power-law index, thermal effects and skew angle is presented and discussed. It is concluded that these parameters play a significant role in the thermomechanical buckling response of FGM skew plates.

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Author information

Authors and Affiliations

  1. Modeling, Mechanics, Energetic and Materials (M2EM) Unit, National Engineering School of Gabes, University of Gabes, Gabes, Av. Omar Ibn El Khattab, Zrig Eddakhlania 6029, Gabes, Tunisia

    Souhir Zghal

  2. High Institute of Applied Science and Technology of Gabes, University of Gabes, Rue Omar ibn el Khattab - CP. 6072, Gabes, Tunisia

    Souhir Zghal

  3. Laboratory of Electromechanical Systems (LASEM), National Engineering School of Sfax, University of Sfax, B.P W3038, Sfax, Tunisia

    Sourour Trabelsi & Fakhreddine Dammak

Authors
  1. Souhir Zghal
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  2. Sourour Trabelsi
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  3. Fakhreddine Dammak
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Corresponding author

Correspondence to Souhir Zghal .

Editor information

Editors and Affiliations

  1. National School of Engineers of Sfax (ENIS), Sfax, Tunisia

    Lassaad Walha

  2. College of Engineering, Jeddah University, Sfax, Tunisia

    Abdessalem Jarraya

  3. École Nationale d'Ingénieurs de Gabès, Zrig Gabes, Tunisia

    Fathi Djemal

  4. National Engineering School of Monastir (ENIM), Monastir, Tunisia

    Mnaouar Chouchane

  5. National Engineering School of Monastir (ENIM), Monastir, Tunisia

    Nizar Aifaoui

  6. Department of Mechanical Engineering, National School of Engineers of Sfax (ENIS), Sfax, Tunisia

    Fakher Chaari

  7. Sfax Preparatory Engineering Institute, Sfax, Tunisia

    Moez Abdennadher

  8. National Engineering School of Monastir (ENIM), Monastir, Tunisia

    Abdelmajid Benamara

  9. National School of Engineers of Sfax (ENIS), Sfax, Tunisia

    Mohamed Haddar

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Zghal, S., Trabelsi, S., Dammak, F. (2023). Thermomechanical Buckling of FGM Skew Plate. In: Walha, L., et al. Design and Modeling of Mechanical Systems - V. CMSM 2021. Lecture Notes in Mechanical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-031-14615-2_10

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  • DOI: https://doi.org/10.1007/978-3-031-14615-2_10

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-14614-5

  • Online ISBN: 978-3-031-14615-2

  • eBook Packages: EngineeringEngineering (R0)

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