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Geometrically non-linear thermoelastic analysis of functionally graded shells using finite element method

Hosseini Kordkheili, S. A ; Sharif University of Technology | 2007

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  1. Type of Document: Article
  2. DOI: 10.1002/nme.2035
  3. Publisher: 2007
  4. Abstract:
  5. A finite element formulation governing the geometrically non-linear thermoclastic behaviour of plates and shells made of functionally graded materials is derived in this paper using the updated Lagrangian approach. Derivation of the formulation is based on rewriting the Green-Lagrange strain as well as the 2nd Piola-Kirchhoff stress as two second-order functions in terms of a through-the-thickness parameter. Material properties are assumed to vary through the thickness according to the commonly used power law distribution of the volume fraction of the constituents. Within a non-linear finite element analysis framework, the main focus of the paper is the proposal of a formulation to account for non-linear stress distribution in FG plates and shells, particularly, near the inner and outer surfaces for small and large values of the grading index parameter. The non-linear heat transfer equation is also solved for thermal distribution through the thickness by the Rayleigh-Ritz method. Advantages of the proposed approach are assessed and comparisons with available solutions are presented. Copyright © 2007 John Wiley & Sons, Ltd
  6. Keywords:
  7. Finite element method ; Heat transfer ; Nonlinear equations ; Plates (structural components) ; Shells (structures) ; Stress concentration ; Thermoelasticity ; Non-linear finite element analysis ; Non-linear stress distribution ; Rayleigh-Ritz method ; Functionally graded materials
  8. Source: International Journal for Numerical Methods in Engineering ; Volume 72, Issue 8 , 2007 , Pages 964-986 ; 00295981 (ISSN)
  9. URL: https://onlinelibrary.wiley.com/doi/abs/10.1002/nme.2035