Saxena, Prashant
(2017)
Finite deformations and incremental axisymmetric motions of a magnetoelastic tube.
Mathematics and Mechanics of Solids.
p. 108128651769750.
ISSN 1081-2865
Abstract
A thick-walled circular cylindrical tube made of an incompressible magnetoelastic material is subjected to a finite
static deformation in the presence of an internal pressure, an axial stretch, and an azimuthal or an axial magnetic field.
The dependence of the static magnetoelastic deformation on the intensity of the applied magnetic �eld is analysed for
two different magnetoelastic energy density functions. Then, superimposed on this static con�guration, incremental
axisymmetric motions of the tube and their dependence on the applied magnetic field and deformation parameters are
studied. In particular, we show that magnetoelastic coupled waves exist only for particle motions in the azimuthal
direction. For particle motion in radial and axial directions, only purely mechanical waves are able to propagate when
magnetic field is absent. The wave speeds as well as the stability of the tube can be controlled by changing the internal
pressure, axial stretch, and applied magnetic field that demonstrates the applicability of magneto-elastomers as wave
guides and vibration absorbers.
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