Bi-continuum modelling of layered structures and crystalline interfaces
Materials Science
2007-05-23 v2
Abstract
The bi-continuum model composed of two interpenetrating and dynamically coupled material continua is analysed as a simplified but relatively accurate way to describe some physical phenomena in crystalline solids. The essential novelty of our approach consists in treating a crystalline medium as bi-continuum, even if the crystalline lattice is structurally single-component. Particular attention is paid to the oscillatory behaviour of solutions on the atomic level. Starting from a discrete atomic chain, the basic formulation of the bi-continuum model is derived. The essential features of the model, including accuracy of the results as functions of physical parameters, are discussed.
Cite
@article{arxiv.cond-mat/0202273,
title = {Bi-continuum modelling of layered structures and crystalline interfaces},
author = {M. Sztyren},
journal= {arXiv preprint arXiv:cond-mat/0202273},
year = {2007}
}
Comments
14 pages, 6 Poscript figures, corrected some typos