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Micromechanical Models for Analyzing Bending of Porous/Perfect FG Plates in a Hygro-Thermomechanical Environment by a Quasi-3D Theory

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Mechanics of Composite Materials Aims and scope

An analytical formulation based on a quasi-3D shear deformation theory is proposed to examine the bending response of functionally porous/perfect plates supported on a Kerr/Pasternak/Winkler elastic foundation in hygro-thermo-mechanical conditions. Two kinds of plates, perfect and porous, were studied. For the perfect plates, Mori–Tanaka, LRVE, Voigt, and Reuss models were employed to calculate their mechanical properties changing across the thickness. For the porous plates, different porosity patterns were considered to estimate their mechanical properties. After establishing the governing equations, the Navier solution for simply supported plates was used to calculate their displacements and stresses. The results obtained were compared with data published in the literature, and a good agreement was revealed. Some numerical results were used to investigate the effects of the porosity function, porosity percentage, micromechanical models, and the elastic foundation on the displacements and stresses of a simply supported porous/perfect plate under hygro-thermo-mechanical loadings. The results obtained reveal that these variables have a great influence on the response of the plate in hygro-thermo-mechanical environments.

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Authors and Affiliations

  1. Department of Civil Engineering, University of Ferhat Abbas, Sétif 1, Algeria

    M. Mekerbi

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

    M. Mekerbi, R. Bachir Bouiadjra, S. Benyoucef & A. Tounsi

  3. Department of Civil Engineering, University Mustapha Stambouli of Mascara, Mascara, Algeria

    R. Bachir Bouiadjra

  4. Department of Mathematics, Al-Aflaj College of Science and Humanities, Prince Sattam bin Abdulaziz University, 710-11912, Al-Aflaj, Saudi Arabia

    M. M. Selim

  5. YFL (Yonsei Frontier Lab), Yonsei University, Seoul, Korea

    A. Tounsi

  6. Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261, Dhahran, Eastern Province, Saudi Arabia

    A. Tounsi

  7. Interdisciplinary Research Center for Construction and Building Materials, KFUPM, Dhahran, Saudi Arabia

    A. Tounsi

  8. Department of Mathematics, Govt. College University Faisalabad, Faisalabad, 38000, Pakistan

    M. Hussain

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  1. M. Mekerbi
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Correspondence to S. Benyoucef.

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Mekerbi, M., Bachir Bouiadjra, R., Benyoucef, S. et al. Micromechanical Models for Analyzing Bending of Porous/Perfect FG Plates in a Hygro-Thermomechanical Environment by a Quasi-3D Theory. Mech Compos Mater 59, 693–712 (2023). https://doi.org/10.1007/s11029-023-10125-7

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