Acta Mechanica

, Volume 167, Issue 1–2, pp 13–28 | Cite as

Nonlinear magnetoelastic deformations of elastomers

  • A. Dorfmann
  • R.W. Ogden


Magneto-sensitive (MS) elastomers are “smart materials” whose mechanical properties may be changed rapidly by the application of a magnetic field. Such materials typically consist of micron-sized ferrous particles dispersed within an elastomeric matrix. The equations governing deformations of these materials were discussed in a recent paper by the present authors and applied in a particular specialization of the constitutive model to the problem of axial shear of a circular cylindrical tube subject to a radial magnetic field. In the present paper we develop the governing equations for a more general form of constitutive model and provide alternative forms of the equations, including a Lagrangian formulation. To illustrate the theory the problem of azimuthal shear of a circular cylindrical tube is formulated and then solved for a specific constitutive law with a magnetic field that is initially radial. The results, which show the stiffening of the azimuthal shear stress/strain response with increasing magnetic field strength, are illustrated graphically.


Magnetic Field Mechanical Property Field Strength Governing Equation Constitutive Model 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag Wien 2003

Authors and Affiliations

  1. 1.Institute of Structural EngineeringWienAustria
  2. 2.Department of MathematicsUniversity of GlasgowGlasgowU.K

Personalised recommendations