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Nonlinear magnetoelastic deformations of elastomers
Ist Teil von
Acta mechanica, 2004, Vol.167 (1-2), p.13-28
Ort / Verlag
Wien: Springer
Erscheinungsjahr
2004
Link zum Volltext
Quelle
SpringerLink (Online service)
Beschreibungen/Notizen
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. [PUBLICATION ABSTRACT]