A catalogue of stable equilibria of planar extensible or inextensible elastic rods for all possible Dirichlet boundary conditions

@inproceedings{Manning2013ACO,
  title={A catalogue of stable equilibria of planar extensible or inextensible elastic rods for all possible Dirichlet boundary conditions},
  author={Robert S. Manning},
  year={2013}
}
We catalogue configurations that locally minimize energy for a planar elastic rod (extensibleshearable or inextensible-unshearable) subject to arbitrary Dirichlet boundary conditions in position and orientation. Via a combination of analysis and computation, we determine several bifurcation surfaces in the 3-parameter space of boundary conditions and explore how they depend on the rod material parameters, including in the inextensible limit. For each possible boundary condition, we find all… CONTINUE READING
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