Carnegie Mellon University
Browse

On the dynamics of crystalline motion

Download (4.77 MB)
journal contribution
posted on 1996-01-01, 00:00 authored by Yoshikazu Giga, Morton E. Gurtin, José Matias
Abstract: "Solids can exist in polygonal shapes with boundaries unions of flat pieces called facets. Analyzing the growth of such crystalline shapes is an important problem in materials science. In this paper we derive equations that govern the evolution of such shapes; we formulate the corresponding initial-value problem variationally; and we use this formulation to establish a comparison principle for crystalline evolutions. This principle asserts that two evolving crystals one initially inside the other will remain in that configuration for all time."

History

Publisher Statement

All Rights Reserved

Date

1996-01-01

Usage metrics

    Exports

    RefWorks
    BibTeX
    Ref. manager
    Endnote
    DataCite
    NLM
    DC