Physics – Condensed Matter – Materials Science
Scientific paper
2001-05-24
Physics
Condensed Matter
Materials Science
15 pages, 6 figures, submitted to the Journal of the Mechanics and Physics of Solids
Scientific paper
10.1016/S0022-5096(01)00133-8
We present two approaches for coarse-graining interplanar potentials and determining the corresponding macroscopic cohesive laws based on energy relaxation and the renormalization group. We analyze the cohesive behavior of a large---but finite---number of interatomic planes and find that the macroscopic cohesive law adopts a universal asymptotic form. The universal form of the macroscopic cohesive law is an attractive fixed point of a suitably-defined renormalization-group transformation.
Nguyen O. T.
Ortiz Mauricio
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