Static stability analysis of FG thick plate supported by three parameters foundation under general boundary conditions

  • سال انتشار: 1403
  • محل انتشار: مجله مکانیک کاربردی محاسباتی، دوره: 55، شماره: 3
  • کد COI اختصاصی: JR_JCAM-55-3_005
  • زبان مقاله: انگلیسی
  • تعداد مشاهده: 193
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نویسندگان

Abdeldjallil Meksi

Department of Civil Engineering, Faculty of Architecture and Civil Engineering, University of Sciences and Technology Mohamed Boudiaf, Oran ۳۱۰۰۰, Algeria

Rabbab Bachir Bouiadjra

Material and Hydrology Laboratory, Civil Engineering Department, Faculty of Technology, Djillali Liabes University, Sidi Bel Abbes ۲۲۰۰۰, Algeria

Samir Benyoucef

Material and Hydrology Laboratory, Civil Engineering Department, Faculty of Technology, Djillali Liabes University, Sidi Bel Abbes ۲۲۰۰۰, Algeria

Abdelhakim Bouhadra

Material and Hydrology Laboratory, Civil Engineering Department, Faculty of Technology, Djillali Liabes University, Sidi Bel Abbes ۲۲۰۰۰, Algeria

Mohamed Bourada

Material and Hydrology Laboratory, Civil Engineering Department, Faculty of Technology, Djillali Liabes University, Sidi Bel Abbes ۲۲۰۰۰, Algeria

Mofareh Ghazwani

Department of Mechanical Engineering, Faculty of Engineering, Jazan University, P.O Box ۴۵۱۲۴, Jazan, Kingdom of Saudia Arabia

Abdelouahed Tounsi

Material and Hydrology Laboratory, Civil Engineering Department, Faculty of Technology, Djillali Liabes University, Sidi Bel Abbes ۲۲۰۰۰, Algeria

چکیده

In this paper, an analytical solution for exploring the buckling characteristics of functionally graded (FG) plate is presented based on a quasi-۳D shear deformation theory. It is considered that the plate is subjected to different types of in-plane compressive load. The FG plate is placed on three-parameter foundation Winkler-Pasternak-Kerr. The overall material properties of FG plate are assumed to be varied across the thickness and are estimated through the Voigt micromechanical model. The governing equations are obtained on the base of the quasi-۳D deformation theory that contain undetermined integral forms and involves only four unknowns to derive. Equations of motion are derived from the principal of virtual work and the analytical solution is used to determine the critical buckling loads. By the discussion of numerical examples and the comparison with those of the reports in the literature, the convergence and the reliability of the present approach are validated. Finally, the parametric investigations of the in-plane buckling are carried out, including the influence of boundary conditions, elastic foundation, plate geometric parameters and power law index. The results reveal that the critical buckling loads are strongly influenced by several parameters such as boundary conditions, elastic foundation parameters and geometric shape of the plate.

کلیدواژه ها

Mechanical Buckling, In-plane compressive load, plate, elastic foundation, Boundary conditions

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