Advertisement

A Robust and Consistent First-Order Zigzag Theory for Multilayered Beams

  • Marco Di SciuvaEmail author
  • Marco Gherlone
  • Alexander Tessler
Chapter
Part of the Solid Mechanics and Its Applications book series (SMIA, volume 168)

Abstract

In this paper a recently developed refinedfirst-order zigzag theory for multilayered beams is reviewed from a fresh theoretical perspective. The theory includes the kinematics of Timoshenko beam theory as its baseline. The use of a novel piecewise-linear zigzag function provides a more realistic representation of the deformation states of transverse-shear-flexible multilayered beams. Though the formulation does not enforce full continuity of the transverse-shear stresses across the beam’s depth, yet it is robust in the sense that transverse-shear correction factors are not required to yield accurate results. The new theory is variationally consistent, requires only C 0-continuity for kinematic approximations, and is thus perfectly suited for developing computationally efficient finite elements.

References

  1. 1.
    Liu D, Li X (1996) J Comp Mater 30:1539–1561CrossRefGoogle Scholar
  2. 2.
    Di Sciuva M (1984) Atti Accademia delle Scienze di Torino 118:279–295Google Scholar
  3. 3.
    Di Sciuva M (1986) J Sound Vib 105:425–442CrossRefGoogle Scholar
  4. 4.
    Murakami H (1986) ASME J Appl Mech 53:661–666CrossRefGoogle Scholar
  5. 5.
    Averill RC (1994) Comp Eng 4:381–395CrossRefGoogle Scholar
  6. 6.
    Averill RC, Yip YC (2006) Comp Struct 59:529–546CrossRefGoogle Scholar
  7. 7.
    Tessler A, Di Sciuva M, Gherlone M (2007) NASA/TP-2007–215086Google Scholar
  8. 8.
    MSC/NASTRAN: Reference guide, V 2006.0. MSC Software CorporationGoogle Scholar

Copyright information

© Springer Science+Business Media B.V. 2009

Authors and Affiliations

  • Marco Di Sciuva
    • 1
    Email author
  • Marco Gherlone
  • Alexander Tessler
  1. 1.Department of Aeronautics and Space EngineeringPolitecnico di TorinoTorinoItaly

Personalised recommendations