Encyclopedia of Continuum Mechanics

Living Edition
| Editors: Holm Altenbach, Andreas Öchsner

Size Effect in Nanomaterials

Living reference work entry
DOI: https://doi.org/10.1007/978-3-662-53605-6_170-1



By size effect we mean a dependence of a material parameter such as Young’s modulus on a specimen size which is used for the parameter determination.

Experimental Observation

In mechanics of materials at the macroscale, the size effect may appear in many cases as a result of influence of dislocations, microcracks, voids, grains, and subgrains (see, e.g., reviews Bažant 1999, 2000; Diebels and Steeb 2002). At the nanoscale the size effect may appear at the level of a single crystal, and it is mostly determined by surface-/interface-related phenomena. Indeed, a nanostructured material can be characterized by high ratio of material particles localized in the vicinity of a surface or interfaces to ones located in the bulk. A typical dependence of a material property P on a specimen of characteristic size L is shown in Fig. 1. Here P corresponds to the value of P at the macroscale, which formally corresponds to the limit L →. ...
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Authors and Affiliations

  1. 1.Faculty of Civil and Environmental EngineeringGdańsk University of TechnologyGdańskPoland

Section editors and affiliations

  • Victor A. Eremeyev
    • 1
  1. 1.Faculty of Civil and Environmental EngineeringGdańsk University of TechnologyGdańskPoland