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A note on the thermomechanics of curvature flow in IR<sup>3</sup> and on surfaces in IR<sup>3</sup>
Journal article

A note on the thermomechanics of curvature flow in IR3 and on surfaces in IR3

Paolo Cermelli, Morton E Gurtin and Mikhail M Shvartsman
Meccanica, Vol.33, pp.587-599
1998
DOI: https://doi.org/10.1023/A:1004347921672

Abstract

motion by curvature configurational balance curve shortening equation defects on interfaces continuum mechanics thermomechanics curvature flow Applied Mathematics

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.

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