Striction-induced stresses in a magnetoactive elastomer

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Abstract

The possibility to determine the magnetostriction coefficient a of a magnetoactive elastomer is theoretically demonstrated by way of simple isometric experiment, when the force is measured that emerges in result of application of a field in the direction along which the dimension of the sample is fixed. It is shown that the value of a may be found from analyzing the dependence of the force (or surface pression) on the aspect ratio of the sample.

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About the authors

O. V. Stolbov

Institute of Continuous Media Mechanics, Perm Federal Research Center of the Ural Branch of the Russian Academy of Sciences

Email: raikher@icmm.ru
Russian Federation, Perm, 614018

Yu. L. Raikher

Institute of Continuous Media Mechanics, Perm Federal Research Center of the Ural Branch of the Russian Academy of Sciences

Author for correspondence.
Email: raikher@icmm.ru
Russian Federation, Perm, 614018

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2. Fig. 1. Scheme of isometric testing of the MAE sample.

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3. Fig. 2. Dependence of the average pressure at the end of the cylinder on the aspect ratio for the values ​​of magnetic susceptibility χ0: 3.8 (1), 5.0 (2), 7.5 (3); magnetostriction parameter α = 0.

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4. Fig. 3. Dependence of the average pressure at the end of the cylinder on the aspect ratio for the values ​​of the magnetostriction parameter α: – 0.1 (1), 0 (2), 0.1 (3), 0.2 (4); magnetic susceptibility χ0 = 3.8.

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