Beilstein J. Nanotechnol.2016,7, 2013–2022, doi:10.3762/bjnano.7.192
phosphate, potassium titanyl phosphate or lithium niobate. This effect can be ascribed to the fractal-like shape or statistical self-similarity of the AuNP arrangement [14]. The concept of fractal-like design in optics was introduced for the first time by Stockman [14]. In a chain of particles, the self
PDF
Figure 1:
XPS spectra for the AuNPs drop-cast on a) quartz and b) glass.
Beilstein J. Nanotechnol.2016,7, 1267–1277, doi:10.3762/bjnano.7.117
, UMR 7239, Metz, F-57045, France 10.3762/bjnano.7.117 Abstract By analyzing the problem of high pressure torsion (HPT) in the rigid plastic formulation, we show that the power hardening law of plastically deformed materials leads to self-similarity of HPT, admitting a simple mathematical description
-similarity. Outside these ranges, the plasticity problem still has to be solved for each value of β. The results obtained have important practical implications for the proper design and analysis of HPT experiments.
Keywords: deformation mechanisms; high pressure torsion; nanocrystalline metals; self
physical process simple to describe emerges naturally, and the answer often has to do with the self-similarity of the process [15]. Self-similarity makes a complex process simple to describe because the process just repeats itself at different scales of time or space. For example, the self-similarity of
PDF
Figure 1:
Schematic geometry of the constrained HPT process (the notation is defined in the main text).