• Corpus ID: 241033497

A geometrically exact model for thin magneto-elastic shells

@inproceedings{Pezzulla2021AGE,
  title={A geometrically exact model for thin magneto-elastic shells},
  author={Matteo Pezzulla and Dong Jin Yan and Pedro M. Reis},
  year={2021}
}
We develop a reduced model for hard-magnetic, thin, linear-elastic shells that can be actuated through an external magnetic field, with geometrically exact strain measures. Assuming a reduced kinematics based on the Kirchhoff-Love assumption, we derive a reduced two-dimensional magneto-elastic energy that can be minimized through numerical analysis. In parallel, we simplify the reduced energy by expanding it up to the second order in the displacement field and provide a physical interpretation… 

Figures from this paper

References

SHOWING 1-10 OF 60 REFERENCES
Magneto-active elastic shells with tunable buckling strength
TLDR
This work develops a theoretical model for thin magnetic elastic shells, which rationalizes the underlying mechanism, in excellent agreement with experiments, and presents a robust mechanism to dynamically tune the buckling strength of shells, exploiting the coupling between mechanics and magnetism.
A Weak Form Implementation of Nonlinear Axisymmetric Shell Equations With Examples
We present a weak form implementation of the nonlinear axisymmetric shell equations. This implementation is suitable to study the nonlinear deformations of axisymmetric shells, with the capability
A nonlinear theory for fibre-reinforced magneto-elastic rods
We derive a model for the finite motion of a fibre-reinforced magneto-elastic rod. The reinforcing particles are assumed weakly and uniformly magnetized, rigid and firmly embedded into the
A refined theory of magnetoelastic buckling matches experiments with ferromagnetic and superparamagnetic rods
TLDR
A magnetic “stick–slip” model is proposed to explain the sudden bending transition of an elastic rod experiencing a uniform induction field applied at a normal angle with respect to its long axis and it is demonstrated that the magnetoelastic buckling corresponds to a classical Landau second-order transition.
Buckling of a pressurized hemispherical shell subjected to a probing force
We study the buckling of hemispherical elastic shells subjected to the combined effect of pressure loading and a probing force. We perform an experimental investigation using thin shells of nearly
Geometry-induced rigidity in nonspherical pressurized elastic shells.
TLDR
A predictive framework is proposed that rationalizes the dependence of the local rigidity of an indented shell on the curvature in the neighborhood of the locus of indentation, the in-out pressure differential, and the material properties.
Eversion of bistable shells under magnetic actuation: A model of nonlinear shapes
© 2016 IOP Publishing Ltd.We model in closed form a proven bistable shell made from a magnetic rubber composite material. In particular, we incorporate a non-axisymmetrical displacement field, and we
...
1
2
3
4
5
...