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On the magneto-elastic properties of elastomer-ferromagnet composites. (English) Zbl 0999.74050

Summary: 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 particle volume fraction. Our solution accounts for fully coupled magneto-elastic interactions; the distribution of magnetization in the composite is calculated from the basic minimum energy principle of magneto-elasticity.

MSC:

74F15 Electromagnetic effects in solid mechanics
74Q15 Effective constitutive equations in solid mechanics
82D45 Statistical mechanics of ferroelectrics
78A48 Composite media; random media in optics and electromagnetic theory
74G65 Energy minimization in equilibrium problems in solid mechanics
74E30 Composite and mixture properties

Software:

FSQP; FFSQP(f77)
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Full Text: DOI

References:

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