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Published December 2001 | public
Journal Article

On the magneto-elastic properties of elastomer–ferromagnet composites

Abstract

We study the macroscopic magneto-mechanical behavior of composite materials consisting of a random, statistically homogeneous distribution of ferromagnetic, rigid inclusions embedded firmly in a non-magnetic elastic matrix. Specifically, for given applied elastic and magnetic fields, we calculate the overall deformation and stress–strain relation for such a composite, correct to second order in the particle volume fraction. Our solution accounts for the fully coupled magneto-elastic interactions; the distribution of magnetization in the composite is calculated from the basic minimum energy principle of magneto-elasticity.

Additional Information

© 2001 Elsevier. Received 25 May 2000, Revised 15 March 2001, Accepted 7 August 2001, Available online 25 October 2001. The work of L. Borcea was partially supported by the National Science Foundation under grant numbers DMS-9627407 and DMS-9971209. O. Bruno's effort was sponsored by the Air Force Office of Scientific Research, Air Force Materials Command, USAF, under grant numbers F49620-96-1-0008, F49620-99-1-0010 and F49620-99-1-0193, from DARPA, and through NSF contracts No. DMS-9523292 and DMS-9816802. The US Government is authorized to reproduce and distribute reprints for governmental purposes notwithstanding any copyright notation thereon. The views and conclusions contained herein are those of the authors and should not be interpreted as necessarily representing the official policies or endorsements, either expressed or implied, of the Air Force Office of Scientific Research or the US Government.

Additional details

Created:
August 21, 2023
Modified:
October 19, 2023