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Nonlinear behavior of functionally graded circular plates with various boundary supports under asymmetric thermo-mechanical loading

Fallah, F ; Sharif University of Technology

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  1. Type of Document: Article
  2. DOI: 10.1016/j.compstruct.2012.03.029
  3. Abstract:
  4. The equilibrium equations of the first-order nonlinear von Karman theory for FG circular plates under asymmetric transverse loading and heat conduction through the plate thickness are reformulated into those describing the interior and edge-zone problems of the plate. A two parameter perturbation technique, in conjunction with Fourier series method is used to obtain analytical solutions for nonlinear behavior of functionally graded circular plates with various clamped and simply-supported boundary conditions. The material properties are graded through the plate thickness according to a power-law distribution of the volume fraction of the constituents. The results are verified with known results in the literature. The load-deflection curves for different loadings, boundary conditions, and material constant in a solid circular plate are studied and discussed. It is shown that the behavior of FG plates with clamped or simply-supported boundary conditions are completely different. Under thermo-mechanical loading, snap-through buckling behavior is observed in simply-supported FG plates which are immovable in radial direction. Moreover, it is found that linear theory is inadequate for analyzing FG and also homogenous plates with immovable boundary supports in radial direction and subjected to thermal loading, even for deflections that are normally considered small
  5. Keywords:
  6. Analytical solution ; Circular plate ; Perturbation technique ; Asymmetric loading ; Circular plates ; Equilibrium equation ; First-order ; Fourier series method ; Functionally graded ; Linear theory ; Load-deflection curve ; Material constant ; Material property ; Nonlinear behavior ; Plate thickness ; Power law distribution ; Radial direction ; Snap-through buckling ; Thermal loadings ; Thermo-mechanical loading ; Transverse loading ; Two parameter ; Von Karman theory ; Beams and girders ; Boundary conditions ; Buckling ; Fourier series ; Functionally graded materials ; Nonlinear analysis ; Nonlinear equations ; Perturbation techniques ; Loading
  7. Source: Composite Structures ; Volume 94, Issue 9 , 2012 , Pages 2834-2850 ; 02638223 (ISSN)
  8. URL: http://www.sciencedirect.com/science/article/pii/S0263822312001444