Comptes Rendus
Determinations of both length scale and surface elastic parameters for fcc metals
Comptes Rendus. Mécanique, Volume 342 (2014) no. 5, pp. 315-325.

In the present research, a systematical study of trans-scale mechanics theory is performed. The surface/interface energy density varying with material deformation is considered, and the general surface/interface elastic constitutive equations are derived. New methods to determine the material length scale parameter and the surface elastic parameters based on a simple quasi-continuum method, i.e. the Cauchy–Born rule, are developed and applied to typical fcc metals. In the present research, the material length parameters will be determined through an equivalent condition of the strain energy density calculated by adopting the strain gradient theory and by adopting the Cauchy–Born rule, respectively. Based on the surface constitutive equations obtained in the present research, the surface elastic parameters are calculated by using the Gibbs definition of surface energy density and the Cauchy–Born rule method.

Published online:
DOI: 10.1016/j.crme.2014.03.004
Keywords: Trans-scale mechanics, Cauchy–Born rule, Surface energy density, Length scale, Surface elastic parameter

Jingru Song 1; Jianyun Liu 1; Hansong Ma 1; Lihong Liang 1; Yuegaung Wei 1

1 State-Key Laboratory of Nonlinear Mechanics, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, PR China
     author = {Jingru Song and Jianyun Liu and Hansong Ma and Lihong Liang and Yuegaung Wei},
     title = {Determinations of both length scale and surface elastic parameters for fcc metals},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {315--325},
     publisher = {Elsevier},
     volume = {342},
     number = {5},
     year = {2014},
     doi = {10.1016/j.crme.2014.03.004},
     language = {en},
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Jingru Song; Jianyun Liu; Hansong Ma; Lihong Liang; Yuegaung Wei. Determinations of both length scale and surface elastic parameters for fcc metals. Comptes Rendus. Mécanique, Volume 342 (2014) no. 5, pp. 315-325. doi : 10.1016/j.crme.2014.03.004.

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