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Effects of material properties estimations on the thermo-elastic analysis for functionally graded thick spheres and cylinders

Ghaderi, P ; Sharif University of Technology | 2008

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  1. Type of Document: Article
  2. DOI: 10.1115/IMECE2007-41475
  3. Publisher: 2008
  4. Abstract:
  5. In this paper effects of material properties estimations, used for particulate reinforced composites, on the thermo-mechanical response of functionally graded sphere and cylinder are presented. A numerical solution for an arbitrary material gradation is obtained for each geometry independently. With this assumption, the governing partial differential equations are reduced to an ordinary differential equation in each geometry. The thermo-elastic solution for hollow sphere is derived using spherical symmetry. However, plane strain and axial symmetry are assumed for solving hollow cylinder. In the numerical method, radial domain is divided into some finite sub-domains and material properties are assumed to be constant in each sub-domain. With this assumption, the governing thermal and mechanical equations in each sub-domain are an ODE with constant coefficients. Imposing the continuity conditions at the interface of the adjacent sub-domains, together with the global boundary conditions, a set of linear algebraic equations are derived. Solving the linear algebraic equations, the thermo-elastic responses for the thick-walled FG sphere and cylinder are obtained. Three methods of gradation are used for comparing the effects of different material properties estimations on the results; Rule of Mixtures as a conventional method, Mori-Tanaka estimation and self-consistent scheme. The results show that estimations for material properties could be influential to the thermo-elastic response for some profiles of volume fractions of constituents. However, the effect on elastic response is negligible. Copyright © 2007 by ASME
  6. Keywords:
  7. Material properties estimations ; Constant coefficients ; Functionally graded thick sphere ; Global boundary condition ; Linear algebraic equation ; Particulate-reinforced composites ; Self-consistent scheme ; Thermo-mechanical response ; Thermoelastic analysis ; Functionally graded materials ; Algebra ; Boundary conditions ; Cylinders (shapes) ; Differential equations ; Linear algebra ; Linear equations ; Numerical methods ; Particle reinforced composites ; Spheres ; Strain ; Thermoelasticity ; Materials science ; Ordinary differential equations
  8. Source: ASME International Mechanical Engineering Congress and Exposition, IMECE 2007, Seattle, WA, 11 November 2007 through 15 November 2007 ; Volume 10 PART B , 2008 , Pages 843-846 ; 0791843041 (ISBN); 9780791843048 (ISBN)
  9. URL: https://asmedigitalcollection.asme.org/IMECE/proceedings-abstract/IMECE2007/43041/843/327445