Self-Organization in Viscous Liquids
V. I. Zasimchuk, O. E. Zasimchuk, O. S. Gatsenko
G.V. Kurdyumov Institute for Metal Physics, NAS of Ukraine, 36 Academician Vernadsky Blvd., UA-03142 Kyiv, Ukraine
Received: 14.08.2016; final version - 29.09.2017. Download: PDF
In this article, an amorphous solid is considered as a liquid with a very large coefficient of viscosity $\eta$. Its behaviour is studied by means of the continuity equation and Navier–Stokes equations. As revealed, the process of the relaxation of a liquid to a stress–strain loading can be unstable. An additional stationary state of a liquid, besides well-known one, is found. In this state, zones of the high and low densities are periodically alternate (by coordinate) that provides the plasticity of an amorphous solid.
Key words: amorphous solid, Navier–Stokes equations, equation of continuity, stability, stationary state, self-organization, periodical shear bands, hydrodynamic flow channels, plastic deformation.
PACS: 47.10.ad, 61.43.Dq, 62.10.+s, 66.20.Cy, 83.10.Ff, 83.50.Ax, 83.60.-a
Citation: V. I. Zasimchuk, O. E. Zasimchuk, and O. S. Gatsenko, Self-Organization in Viscous Liquids, Metallofiz. Noveishie Tekhnol., 39, No. 10: 1435—1443 (2017) (in Russian)