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A Double-Strand Elastic Rod Theory

Moakher, Maher ; Maddocks, John H.

In: Archive for Rational Mechanics and Analysis, 2005, vol. 177, no. 1, p. 53-91

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    Titre
    • A Double-Strand Elastic Rod Theory
    Auteur
    • Moakher, Maher. Laboratoire de Modélisation Mathématique et Numérique dans les Sciences de l'Ingénieur, Ecole Nationale d'Ingénieurs de Tunis, B.P. 37, 1002, Tunis, Tunisia
    • Maddocks, John H.. Institut Mathématique B, Ecole Polytechnique, Fédérale de Lausanne, CH-1015, Lausanne, Switzerland
    Type de document
    • Postprint
    Langue
    • Anglais
    Publié dans
    • Archive for Rational Mechanics and Analysis, 2005, vol. 177, no. 1, p. 53-91. Springer-Verlag
    Autre version électronique
    Classification
    • Mathématiques
    Identifiant OAI-PMH
    • oai:doc.rero.ch:311160
    Summary
    Abstract.: Motivated by applications in the modeling of deformations of the DNA double helix, we construct a continuum mechanics model of two elastically interacting elastic strands. The two strands are described in terms of averaged, or macroscopic, variables plus an additional small, internal or microscopic, perturbation. We call this composite structure a birod. The balance laws for the macroscopic configuration variables of the birod can be cast in the form of a classic Cosserat rod model with coupling to the internal balance laws through the constitutive relations. The internal balance laws for the microstructure variables also take a mathematical form analogous to that for a Cosserat rod, but with coupling to the macroscopic system through terms corresponding to distributed force and couple loads