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- W2166249570 abstract "We develop a general computational model for a elastic rod which allows for extension and shear. The model, similar in mathematical construction to Cosserat rod theory, allows a wider variety of problems to be studied than previous models. In the first section we develop the continuous mathematical model, discretize the system to allow implementation on a computer, and then verify the model’s output against classical buckling tests. We then develop a novel analytic solution for the critical buckling length of a vertically oriented, shearable elastic beam subject to gravity and show that the model’s treatment of shear is correct. In the experimental section we analyze a number of different phenomena with the rod model. To begin, we explain the mechanical response of helically coiling tendrils. After self-collision is introduced, we explore the formation of plectonemes and solenoids in a highly extensible elastic string. We discuss a sheet adhering to a surface in several different regimes and use the rod model to discover a self-similarity solution in the low-damping limit. Physical entanglement is investigated in an experiment where randomly tumbled strings are used to derive scaling laws for the dynamics governing entanglement. Models for active" @default.
- W2166249570 created "2016-06-24" @default.
- W2166249570 creator A5058948739 @default.
- W2166249570 date "2013-10-17" @default.
- W2166249570 modified "2023-09-27" @default.
- W2166249570 title "Discrete Differential Geometry and Physics of Elastic Curves" @default.
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