Closed-Form Formulation for Bending Analysis of Functionally Graded Thick Plates

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Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

Due to their continuous material variation and eliminating the mismatch stress field in the thickness direction, Functionally Graded Materials (FGMs) have found wide applications in aerospace and mechanical engineering. This article presents closed-form solution for thick functionally graded plate based on three-dimensional elasticity theory. To this end, first, the characteristic equation of FG plate is derived and general closed-form is obtained analytically. Both positive and negative discriminant of characteristic equation is considered and solved. The presented method is validated with finite element results by considering isotropic thick plate. Several parametric studies are carried out to investigate the effect of geometric and material parameters. The aim of this research is to present analytical solution form for thick FG plate and work out the problem of inconsistency for corresponding displacements field. The presented solution can be used to examine accuracy of various plate theories such as first-order, third order shear deformation theories and other equivalent plate theories.

Language:
English
Published:
Journal of Solid Mechanics, Volume:15 Issue: 2, Spring 2023
Pages:
160 to 173
https://www.magiran.com/p2581845  
سامانه نویسندگان
  • Shaban، Mahdi
    Corresponding Author (1)
    Shaban, Mahdi
    Assistant Professor Department of Mechanical engineering,, Bu-Ali Sina University, Hamedan, Iran
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