47 research outputs found
Phase field modeling of nonlinear material behavior
Materials that undergo internal transformations are usually described in
solid mechanics by multi-well energy functions that account for both elastic
and transformational behavior. In order to separate the two effects, physicists
use instead phase-field-type theories where conventional linear elastic strain
is quadratically coupled to an additional field that describes the evolution of
the reference state and solely accounts for nonlinearity. In this paper we
propose a systematic method allowing one to split the non-convex energy into
harmonic and nonharmonic parts and to convert a nonconvex mechanical problem
into a partially linearized phase-field problem. The main ideas are illustrated
using the simplest framework of the Peierls-Nabarro dislocation model.Comment: 12 pages, 4 figures. v1: as submitted. v2: as published (conclusion
added, unessential part of appendix removed, minor typesetting revisions). To
appear in: K. Hackl (ed.), Proceedings of the IUTAM Symposium on Variational
Concepts with Applications to the Mechanics of Materials, September 22-26,
2008, Bochum. (Springer-Verlag, 2010 presumably
A Nonequilibrium Molecular Dynamics Study of In-Plane Thermal Conductivity of Silicon Thin Films
[Review] Matthew Birchwood (2007) Staging Islam in England: drama and culture, 1640-1685
Matthew Birchwood. Staging Islam in England: Drama and Culture, 1640–1685. Pp. viii + 200. Boydell & Brewer Studies in Renaissance Literature 21. Cambridge: D.S. Brewer, 200