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A Note on the Thermomechanics of Curvature Flows in IR3 and on Surfaces in IR3

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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.

Sommario.In questo lavoro si derivano le equazioni di evoluzione per curve in IR3 e su superfici di IR3, utilizzando un bilancio di forze configurazionali, una versione meccanica del secondo principio e opportune ipotesi costitutive. Sono trattati sia il caso isotropo che anisotropo.

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Authors and Affiliations

  1. Dipartimento di Matematica, Università di Torino, Via C. Alberto 10, 10123, Torino, Italy

    Paolo Cermelli

  2. Department of Mathematics, Carnegie Mellon University, Pittsburgh, PA, 15213, U.S.A.

    Morton E. Gurtin & Mikhail M. Shvartsman

Authors
  1. Paolo Cermelli
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  2. Morton E. Gurtin
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  3. Mikhail M. Shvartsman
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Cermelli, P., Gurtin, M.E. & Shvartsman, M.M. A Note on the Thermomechanics of Curvature Flows in IR3 and on Surfaces in IR3 . Meccanica 33, 587–599 (1998). https://doi.org/10.1023/A:1004347921672

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  • DOI: https://doi.org/10.1023/A:1004347921672

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