Acta Mechanica Solida Sinica

, Volume 27, Issue 2, pp 111–121 | Cite as

Size Effects of Elastic Modulus of FCC Metals Based on the Cauchy-Born Rule and Nanoplate Models

Article

Abstract

In the present research, a simple quasi-continuum model, the Cauchy-Born rule model, is used to investigate the size effects of elastic modulus for fcc metals. By considering a nanoplate model and calculating the strain energy for the nano-sized plate under tension and bending, the relationship between the elastic modulus and the plate thickness is found. Size effects of the elastic modulus are displayed by the relative differences of the elastic modulus between the nano-sized plate sample and the bulk sample. By comparing the present results with those of others, the effectiveness of the Cauchy-Born rule model in studying the size effects of material properties are shown.

Key Words

quasi-continuum method Cauchy-Born rule size effect elastic modulus fcc-metal 

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Copyright information

© The Chinese Society of Theoretical and Applied Mechanics and Technology 2014

Authors and Affiliations

  1. 1.State Key Laboratory of Nonlinear Mechanics, Institute of MechanicsChinese Academy of SciencesBeijingChina

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