Title
A note on the thermomechanics of curvature flow in IR3 and on surfaces in IR3
Department/School
Mathematics
Date
1-1-1998
Document Type
Article
Keywords
motion by curvature, configurational balance, curve shortening equation, defects on interfaces, continuum mechanics, thermomechanics, curvature flow
DOI
https://doi.org/10.1023/A:1004347921672
Abstract
Equations for the evolution of curves in IR3 and on surfaces in IR3 are derived from a configurational force balance, a mechanical version of the second law, and suitable constitutive assumptions. Both the isotropic and anisotropic cases are considered.
Volume
33
Published in
Meccanica
COinS
Citation/Other Information
Cermelli, P., Gurtin, M. E. & Shvartsman, M. M. (1998). A note on the thermomechanics of curvature flows in IR3 and on surfaces in IR3. Meccanica 33, 587–599. https://doi.org/10.1023/A:1004347921672