A direct theory of affine rods |
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| Affiliation: | 1. International Research Center M&MoCS, Università degli Studi dell’Aquila, Via Giovanni Gronchi 18 - Zona industriale di Pile, L’Aquila 67100, Italy;2. Dipartimento di Ingegneria e Scienze dell’Informazione e Matematica, Università degli Studi dell’Aquila, Via Vetoio, Coppito, L’Aquila 67100, Italy;3. Laboratoire des Sciences de l’Ingénieur pour l’ Environnement, Université de La Rochelle, 23 avenue Albert Einstein BP 33060, La Rochelle 17031, France;4. Research Institute for Mechanics, National Research Lobachevsky State University of Nizhni Novgorod, Russia;5. Dipartimento di Fisica, Universitá degli studi Federico II, Naples, Italy;1. Department of Aerospace Engineering and Mechanics University of Minnesota Minneapolis, MN 55455-0153, USA;2. Department of Engineering and Architecture University of Parma Parma, 43100, Italy;3. Construction Technologies Institute - National Research Council of Italy (ITC-CNR) San Giuliano Milanese, 20098, Italy |
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| Abstract: | A direct theory of affine rods is developed from first principles. To concentrate on the central aspects of the model, we use an axiomatic format and tools from Lie group theory. To facilitate comparisons with other theories, we propose an identification procedure to derive the constitutive relations of the affine rod from those of a rod modeled as a three-dimensional body. |
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