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

  • Chapter
Materials with Internal Structure

Part of the book series: Springer Tracts in Mechanical Engineering ((STME))

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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Authors and Affiliations

  1. Otto von Guericke University Magdeburg, Universitätplatz 2, 39106, Magdeburg, Germany

    Victor A. Eremeyev

  2. South Scientific Centre of RASci & South Federal University, Milchakova St. 8a, 344090, Rostov on Don, Russia

    Victor A. Eremeyev

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  1. Victor A. Eremeyev
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Editors and Affiliations

  1. Department of Structural and Geotechnical Engineering, Sapienza University of Rome, Rome, Italy

    Patrizia Trovalusci

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Eremeyev, V.A. (2016). On the Effective Properties of Elastic Materials and Structures at the Micro- and Nano-Scale Considering Various Models of Surface Elasticity. In: Trovalusci, P. (eds) Materials with Internal Structure. Springer Tracts in Mechanical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-319-21494-8_3

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  • DOI: https://doi.org/10.1007/978-3-319-21494-8_3

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-21493-1

  • Online ISBN: 978-3-319-21494-8

  • eBook Packages: EngineeringEngineering (R0)

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