Pattern Formation in a 2D Elastic Solid
Abstract
We present a dynamical theory of a two-dimensional martensitic transition in an elastic solid, connecting a high-temperature phase which is nondegenerate and has triangular symmetry, and a low-temperature phase which is triply degenerate and has oblique symmetry. A global mode-based Galerkin method is employed to integrate the deterministic equation of motion, the latter of which is derived by the variational principle from a nonlinear, nonlocal Ginzburg-Landau theory which includes the sound-wave viscosity. Our results display (i) the phenomenon of surface nucleation, and (ii) the dynamical selection of a length scale of the resultant patterns.
Keywords
Cite
@article{arxiv.cond-mat/9704239,
title = {Pattern Formation in a 2D Elastic Solid},
author = {A. C. E. Reid and R. J. Gooding},
journal= {arXiv preprint arXiv:cond-mat/9704239},
year = {2015}
}
Comments
LaTeX, 14 pages with four post-script figures included by psfig. Three of these are colour, but viewable in black-and-white. Presented at the conference "Collective Phenomena in Physics: Pattern Formation in Fluids and Materials", University of Western Ontario, London, June 1996