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A Comparison of Finite Element Beam Formulations for Thermoelastic Behavior of Functionally Graded Structures

[+] Author Affiliations
Thomas G. Eason, Simón A. Caraballo

University of South Florida

Paper No. IMECE2005-80999, pp. 443-449; 7 pages
doi:10.1115/IMECE2005-80999
From:
  • ASME 2005 International Mechanical Engineering Congress and Exposition
  • Aerospace
  • Orlando, Florida, USA, November 5 – 11, 2005
  • Conference Sponsors: Aerospace Division
  • ISBN: 0-7918-4210-X | eISBN: 0-7918-3769-6
  • Copyright © 2005 by ASME

abstract

Modeling at the structural scale most often requires the use of beam and shell elements. This paper compares two finite element formulations based on first-order shear deformation theory undergoing thermo-mechanical loading. One formulation is a two node beam element employing static condensation based on the work of Chakraborty et al. The second formulation follows a more traditional route using FSOD theory for a three node beam element. Both formulations are used to investigate the behavior of a functionally graded beam under axial and through-the-thickness temperature gradients. Both formulations work well for a constant uniform mechanical or temperature loading. However, for beam structures containing a thermal gradient in the axial direction, the two node beam element performs poorly as compared to the three node element in terms of transverse shearing stress calculated from the equilibrium equation.

Copyright © 2005 by ASME

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