On the Effective Properties of Elastic Materials and Structures at the Micro- and Nano-Scale Considering Various Models of Surface Elasticity

  • Victor A. Eremeyev

Abstract

We discuss influence of surface properties on effective (apparent) properties of materials and structures such as Young’s modulus of a porous rod or bending stiffness of a nanosized plate. We consider various models of surface elasticity by Gurtin–Murdoch, Steigman–Ogden, and its generalizations. Difference between models is discussed, and formulas for some effective properties are given.

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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  • Victor A. Eremeyev
    • 1
    • 2
  1. 1.Otto von Guericke University MagdeburgMagdeburgGermany
  2. 2.South Scientific Centre of RASci & South Federal UniversityRostov on DonRussia

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