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Nonlinear Elastic Analysis of FG Arcs under Thermo-Mechanical Loading

Rouholamini, Reza | 2017

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 50252 (08)
  4. University: Sharif University of Technology
  5. Department: Mechanical Engineering
  6. Advisor(s): Fallah, Famida
  7. Abstract:
  8. Arcs and rings are used extensively in structures such as submarines and bridges due to their particular geometry. On the other hand, in multi-part rocket, due to the high temperature gradients, they form the fastening rings of functional materials (FGM). Considering the importance of this structural element, in this thesis, linear and nonlinear behavior (including bending and post-buckling) of rings made of functionally graded materials under different types of thermo-mechanical loading has been investigated. First, the governing equations are derived from the principle of minimum potential energy, based on the two theorems of Donnell and Love. Donnell's theory equations are solved analytically and numerically using perturbation method, for simply-simply and clamped-clamped boundary conditions and the analytical solution results are compared with the classical method presented in the papers. Once again, the obtained equations are solved using the Love theory by means of disturbances, and the results are compared with the analytical results obtained from Donnell's theory. The results show that the thermal gradient increases the buckling load in FG arcs. On the other hand, the increase in the power law index reduced the critical load for two types of boundary conditions
  9. Keywords:
  10. Functionally Graded Materials (FGM) ; Analytical Method ; Perturbation Method ; First-Order Shear Deformation Theory ; Nonlinear Equations ; Thermomechanical Loading ; Shell Theory

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