Magnetoelastic modelling of elastomers

In this paper we first summarize the equations governing the deformation of magneto-sensitive (MS) elastic solids with particular reference to elastomers whose mechanical properties may be changed rapidly by the application of a magnetic field. These ‘smart materials’ typically consist of micron-siz...

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Bibliographic Details
Published inEuropean journal of mechanics, A, Solids Vol. 22; no. 4; pp. 497 - 507
Main Authors Dorfmann, A., Ogden, R.W.
Format Journal Article
LanguageEnglish
Published Paris Elsevier Masson SAS 01.07.2003
Elsevier
Subjects
Applied sciences
Elastomers
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Magnetoelasticity
Mechanical properties
Physical properties
Physics
Polymer industry, paints, wood
Properties and testing
Solid mechanics
Static elasticity
Static elasticity (thermoelasticity...)
Structural and continuum mechanics
Technology of polymers
Magnetoelasticity
Elastomers
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Summary:In this paper we first summarize the equations governing the deformation of magneto-sensitive (MS) elastic solids with particular reference to elastomers whose mechanical properties may be changed rapidly by the application of a magnetic field. These ‘smart materials’ typically consist of micron-sized ferrous particles dispersed within an elastomeric matrix. Constitutive relations for isotropic MS-elastic solids are examined. The equations are then applied to a representative geometry appropriate for applications, that in which the material is confined to a circular cylindrical tube in the presence of a radial magnetic field. The material is then subject to an axial shear deformation. Results are illustrated for two specific material models, for each of which the shear stiffness of the material increases with the magnetic field strength, as observed in experiments on MS elastomers.
ISSN:0997-7538
1873-7285
DOI:10.1016/S0997-7538(03)00067-6