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Bending of a Three-Layered Plate with Surface Stresses

  • Holm AltenbachEmail author
  • Victor A. Eremeyev
Chapter
Part of the Advanced Structured Materials book series (STRUCTMAT, volume 81)

Abstract

We discuss here the bending deformations of a three-layered plate taking into account surface and interfacial stresses. The first-order shear deformation plate theory and the Gurtin-Murdoch model of surface stresses will be considered and the formulae for stiffness parameters of the plate are derived. Their dependence on surface elastic moduli will be analyzed.

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Notes

Acknowledgements

V.A.E. acknowledges financial support from the Russian Science Foundation under the grant Methods of microstructural nonlinear analysis, wave dynamics and mechanics of composites for research and design of modern metamaterials and elements of structures made on its base (No 15-19-10008).

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Copyright information

© Springer Nature Singapore Pte Ltd. 2018

Authors and Affiliations

  1. 1.Faculty of Mechanical EngineeringOtto-von-Guericke-Universität MagdeburgMagdeburgGermany
  2. 2.Gdańsk University of TechnologyGdańskPoland
  3. 3.South Federal UniversityRostov on DonRussia

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