| Using a one-dimensional model that takes into account ideal plasticity of the surface layer, we investigate the fragmentation of thin coatings under uniaxial tension. The coating is modeled as a chain of plastically deforming elements that are connected via leaf springs to a uniformly stretched substrate. Each coating element can only withstand a maximum elongation, which is randomly distributed. From simulations of the fragmentation process we find that the average crack spacing L scales with applied strain, i.e., L ~ strain^(-k). Simulations and analytical arguments show that the scaling exponent k depends on the disorder parameters of the model.
for LaTeX users @article{UAHandge2001-64,
author = {U. A. Handge and I. M. Sokolov and A. Blumen},
title = {Disorder and plasticity in the fragmentation of coatings},
journal = {Phys. Rev. E},
volume = {64},
pages = {016109},
year = {2001}
}
\bibitem{UAHandge2001-64} U.A. Handge, I.M. Sokolov, A. Blumen,
Disorder and plasticity in the fragmentation of coatings,
Phys. Rev. E {\bf 64} (2001) 016109 (5 pages).UAHandge2001-64
U.A. Handge, I.M. Sokolov, A. Blumen
Disorder and plasticity in the fragmentation of coatings
Phys. Rev. E,64,2001,016109 (5 pages) |
mk@mat.ethz.ch
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