Numerical solution of a bending-torsion model for elastic rods
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AbstractAiming at simulating elastic rods, we discretize a rod model based on a general theory of hyperelasticity for inextensible and unshearable rods. After reviewing this model and discussing topological effects of periodic rods, we prove convergence of the discretized functionals and stability of a corresponding discrete flow. Our experiments numerically confirm thresholds, e.g., for Michell’s instability, and indicate a complex energy landscape, in particular in the presence of impermeability.
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1999 ◽
Vol 22
(1)
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pp. 155-160
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2007 ◽
Vol 42
(2)
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pp. 216-232
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1995 ◽
Vol 36
(5)
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pp. 730-736
2001 ◽
Vol 38
(24-25)
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pp. 4395-4437
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2017 ◽
Vol 74
(2)
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pp. 1060-1090
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