Paradoxical Bending Behavior of Shearable Nonlinearly Elastic Rods |
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| Authors: | Friedemann Schuricht Bernhard Werner |
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| Institution: | (1) Max-Planck-Institute for Mathematics in the Sciences, Inselstrasse 22-26, 04103 Leipzig, Germany;(2) Universität Leipzig, Fakultät für Mathematik und Informatik, Augustusplatz 10, 04109 Leipzig, Germany |
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| Abstract: | In nonlinear elasticity the exact geometry of deformation is combined with general constitutive relations. This allows a very sophisticated interaction of deformations in different material directions. Based on the Cosserat theory for planar deformations of nonlinearly elastic rods we demonstrate some paradoxical bending effects caused by a nontrivial interaction of extension, flexure, and shear. The analytical results are illustrated by numerical examples. |
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| Keywords: | nonlinear elasticity rod theory material behavior boundary value problems qualitative analysis |
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