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.
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Jingru Song 1; Jianyun Liu 1; Hansong Ma 1; Lihong Liang 1; Yuegaung Wei 1
@article{CRMECA_2014__342_5_315_0,
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},
}
TY - JOUR AU - Jingru Song AU - Jianyun Liu AU - Hansong Ma AU - Lihong Liang AU - Yuegaung Wei TI - Determinations of both length scale and surface elastic parameters for fcc metals JO - Comptes Rendus. Mécanique PY - 2014 SP - 315 EP - 325 VL - 342 IS - 5 PB - Elsevier DO - 10.1016/j.crme.2014.03.004 LA - en ID - CRMECA_2014__342_5_315_0 ER -
%0 Journal Article %A Jingru Song %A Jianyun Liu %A Hansong Ma %A Lihong Liang %A Yuegaung Wei %T Determinations of both length scale and surface elastic parameters for fcc metals %J Comptes Rendus. Mécanique %D 2014 %P 315-325 %V 342 %N 5 %I Elsevier %R 10.1016/j.crme.2014.03.004 %G en %F CRMECA_2014__342_5_315_0
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, Frontiers of micro and nanomechanics of materials: Soft or amorphous matter, surface effects, Volume 342 (2014) no. 5, pp. 315-325. doi : 10.1016/j.crme.2014.03.004. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2014.03.004/
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