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

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


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.


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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

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