# On evolving natural curvature for an inextensible, unshearable, viscoelastic rod

@inproceedings{Rajagopal2022OnEN, title={On evolving natural curvature for an inextensible, unshearable, viscoelastic rod}, author={K. R. Rajagopal and Casey Rodriguez}, year={2022} }

. We formulate and consider the problem of an inextensible, unshearable, viscoelastic rod, with evolving natural conﬁguration, moving on a plane. We prove that the dynamic equations describing quasistatic motion of an Eulerian strut, an inﬁnite dimensional dynamical system, are globally well-posed. For every value of the terminal thrust, these equations contain a smooth embedded curve of static solutions (equilibrium points). We characterize the spectrum of the linearized equations about an…

## One Citation

### On an elastic strain-limiting special Cosserat rod model

- Biology
- 2022

The intrinsic set of nonlinear constitutive relations, between the geometrically exact strains and the components of the contact force and contact couple are introduced, describing a uniform, hyperelastic, strain-limiting special Cosserat rod.

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