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Linear and Nonlinear Bending Analysis of Circular Sandwich Plates with FG Porous Core Reinforced with Graphene Nanoplatelets

Hashemijoo, Mohammad Erfan | 2023

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 56232 (08)
  4. University: Sharif University of Technology
  5. Department: Mechanical Engineering
  6. Advisor(s): Fallah Rajabzadeh, Famida
  7. Abstract:
  8. In this study non-linear bending of circular sandwich plates with functionally graded (FG) porous core reinforced with graphene nanoplatelets (GPL) is investigated using refined shear deformation theory (RSDT). Displacement field of this theory is considered so that different theories can be introduced to estimate transverse shear strain. Equilibrium equations and boundary conditions are derived using minimum total potential energy principle. The equations are reformulated using potential and stress functions and analytical solution is obtained using perturbation method along with Fourier series. Validations are performed for two cases of linear and non-linear bending of circular plate and shear shape functions with higher accuracy are chosen. Results of non-linear bending of circular sandwich plate are then presented and it is observed for maximum and minimum volume fraction of GPL in midplane, deflection and radial stress are minimum, respectively. Also, parametric studies are performed considering different amounts of porosity and volume fraction of GPL. According to the observations, in the case of single-layer and sandwich plates with clamped support conditions, linear solutions can be used as an alternative to non-linear solution when w/h<0.2 and w/h<0.15, respectively. Whereas for simple support conditions, the range of validity of linear solution for single-layer and sandwich plates is w/h<0.15 and w/h<0.1, respectively
  9. Keywords:
  10. Circular Plate ; Circular Sandwich Plate ; Porous Core (foam) ; Graphene Nanosheets ; Perturbation Method ; Nonlinear Bending ; Linear Bending ; Refined Shear Deformation

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