Deformation of an ellipsoidal ferrogel sample in a uniform magnetic field |
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Authors: | Yu L Raikher O V Stolbov |
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Institution: | (1) Institute of Mechanics of Continuous Media, Ural Division, Russian Academy of Science, Perm’, 614013 |
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Abstract: | The elongation of a ferroelastic material sample (whose initial shape is a sphere or an ellipsoid of revolution) under the
action of an external magnetic field is studied in an in approximation of small strains. For a sphere, there is a classical
estimate obtained under the assumption that elongating in the direction of the field, it becomes a spheroid and the stress
and strain fields remain uniform. In the present calculation, it is assumed that the body is an ellipsoid (a sphere in a particular
case) only in the absence of an external field; the shape of the sample in the presence of a field is not specified in advance
but is found from the condition of balance of surface forces (elastic and magnetic). For the spherical case, the problem is
solved exactly: it is shown, that the contour of the deformed body is described by a third-order algebraic equation. The case
where the initial configuration is an ellipsoid of revolution is studied numerically. It is shown that in all versions, the
refined solution leads to an appreciable increase in the elongation of the sample compared to the classical estimate.
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 46, No. 3, pp. 153–164, May–June, 2005. |
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Keywords: | small strains ferrogel magnetoelasticity magnetic-deformation effect |
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