Torsion of chiral Cosserat elastic rods |
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| Authors: | D. Ieşan |
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| Affiliation: | 1. CNRS, UMR 7190, Institut Jean Le Rond d''Alembert, F-75005 Paris, France;2. UPMC Univ Paris 06, UMR 7190, Institut Jean Le Rond d''Alembert, F-75005 Paris, France;3. Oxford Centre for Collaborative Applied Mathematics (OCCAM), Oxford University, UK;4. Laboratoire des Sciences de l''Information et des Systèmes, ENSAM, Lille, France;1. Department of Mathematics, Institute for Physical Science and Technology, Institute for Systems Research, University of Maryland, College Park, MD 20742, USA;2. Department of Mathematics, Zirve University, 27260, Gaziantep, Turkey;1. Singapore University of Technology and Design, SUTD Digital Manufacturing and Design Centre, 8 Somapah Road, Singapore 487372, Singapore;2. Technische Universität Braunschweig, Institut für Angewandte Mechanik, Bienroder Weg 87, 38106 Braunschweig, Germany;3. Norwegian University of Science and Technology, Department of Marine Technology, NTNU, 7491 Trondheim, Norway;1. Department of Applied Mathematics, Faculty of Mathematics and Computer Science, Amirkabir University of Technology, No. 424, Hafez Ave., Tehran, Iran;2. Center for Research and Development in Mathematics and Applications (CIDMA), Department of Mathematics, University of Aveiro, 3810-193 Aveiro, Portugal;1. Facultade de Matemáticas, Lope Gómez de Marzoa, s/n. Campus Sur, 15782, Departamento de Matemática Aplicada, Universidade de Santiago de Compostela, Spain;2. E.T.S. Náutica e Máquinas, Paseo de Ronda, 51, 15011, Departamento de Matemáticas, Universidade da Coruña, Spain |
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| Abstract: | This paper is concerned with the torsion of isotropic chiral Cosserat elastic cylinders. First, the generalized plane strain problem is defined and an existence result is presented. Then, the three-dimensional problem is reduced to the study of some generalized plane strain problems. In general, the torsion of the cylinder is accompanied by bending and extension. The method is applied to study the torsion of a circular cylinder. |
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