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Thermoelastic analysis of functionally graded cylinders under axial loading

Hosseini Kordkheili, S. A ; Sharif University of Technology | 2008

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  1. Type of Document: Article
  2. DOI: 10.1080/01495730701737803
  3. Publisher: 2008
  4. Abstract:
  5. An analytical thermoelasticity solution for hollow finite-length cylinders made of functionally graded materials exposed to thermal loads, internal pressure and axial loadings is presented. For this purpose, the governing differential equations of equilibrium are obtained using the principle of minimum total potential energy. A first-order shear deformation shell theory, which accounts for the transverse shear strains and rotations, is considered for expressing displacement field. The governing differential equations are reduced to a set of linear algebraic equations using Fourier expansion series of the displacement field components in the axial coordinate. Subsequently, solution of the linear algebraic equations yields the thermoelastic response of the problem. The effects of inhomogeneity constant on behavior of the functionally graded cylinder are investigated. According to the results, stress and displacement components behave nonlinearly, especially for the regions near the longitudinal ends of the functionally graded cylinders
  6. Keywords:
  7. Axial loads ; Differential equations ; Fourier series ; Potential energy ; Shear deformation ; Thermoelasticity ; Functionally graded cylinders ; Thermoelastic analysis ; Functionally graded materials
  8. Source: Journal of Thermal Stresses ; Volume 31, Issue 1 , 2008 , Pages 1-17 ; 01495739 (ISSN)
  9. URL: https://www.tandfonline.com/doi/abs/10.1080/01495730701737803