In the context of the theory of a directed or Cosserat curve, the implications of invariance requirements for constrained elastic rods are re-examined.
In this paper, a model for the deformation of a rotating prismatic rod-like body is developed and analyzed. The novel feature of the model is its incorporation of the Poisson effect. As a result, it provides realistic solutions for the deformed states of steadily rotating rods. The model presented in this paper is also simplified to a nonlinear version of a classical model for rotating rods. Numerical continuation is used to solve the boundary value problems associated with these models.
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