Finite deformations and incremental axisymmetric motions of a magnetoelastic tube

Saxena, P. (2018) Finite deformations and incremental axisymmetric motions of a magnetoelastic tube. Mathematics and Mechanics of Solids, 23(6), pp. 950-983. (doi: 10.1177/1081286517697502)

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 field is analysed for two different magnetoelastic energy density functions. Then, superimposed on this static configuration, 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 a 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.

• Item Type: Articles
• Additional Information: This work was supported by the Indian Science and Engineering Research Board’s Ramanujan fellowship.
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Saxena, Dr Prashant
• Authors: Saxena, P.
• Subjects: Q Science > QA Mathematics; T Technology > TA Engineering (General). Civil engineering (General)
• College/School: College of Science and Engineering > School of Engineering > Infrastructure and Environment
• Journal Name: Mathematics and Mechanics of Solids
• Publisher: SAGE Publications
• ISSN: 1081-2865
• ISSN (Online): 1741-3028
• Published Online: 14 March 2017
• Copyright Holders: Copyright © 2017 The Author
• First Published: First published in Mathematics and Mechanics of Solids 23(6): 950-983
• Publisher Policy: Reproduced in accordance with the publisher copyright policy