Title page for ETD etd-05192006-093252

Type of Document Master's Thesis
Author Portier, Sarah
Author's Email Address portier@vt.edu
URN etd-05192006-093252
Title Implementation of Third Order Plate Theory for use in Existing Finite Element Software
Degree Master of Science
Department Aerospace and Ocean Engineering
Advisory Committee
Advisor Name Title
Kapania, Rakesh K. Committee Chair
Hughes, Owen F. Committee Member
Patil, Mayuresh J. Committee Member
  • Static Condensation
  • Finite Element
  • Third Order Plate Theory
  • Plate Element
Date of Defense 2006-05-12
Availability restricted
Sandwich plates and layered composites are common in many structural applications because of their combination of high stiffness and low weight. These plates combine top and bottom layers of high Young’s modulus with intermediate layers of material carrying predominantly shear loads. Finite elements developed for the analysis of sandwich plates need to accurately model transverse shear stresses through the plate thickness.

This study was inspired by an Office of Naval Research project to investigate the suitability of steel sandwich plates as ship hulls. A finite element implementation based on a third-order shear deformation element was used in a standard finite element program to model transverse shear stresses in a simply supported plate. Four elements based on third-order theory are developed and tested.

Using static condensation to reduce the number of degrees of freedom required by a third-order plate element does not preserve the element’s accuracy in either displacements or stresses, and stresses do not converge with refinement of the mesh. For the thin isotropic plate case, some condensed elements give reasonable displacement and stress results, but only for certain choices of mesh and the element is less versatile than one based on first order plate theory. None of the condensed elements give good results for composite plates of any thickness.

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