On the magneto-elastic properties of elastomer-ferromagnet composites

DOI10.1016/S0022-5096(01)00108-9zbMath0999.74050OpenAlexW1977336294MaRDI QIDQ5958035

Liliana Borcea, Oscar P. Bruno

Publication date: 13 March 2002

Published in: Journal of the Mechanics and Physics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-5096(01)00108-9

zbMATH Keywords

composite materialsstress-strain relationmagneto-elastic interactionsminimum energy principlenon-magnetic elastic matrixrandom ferromagnetic rigid inclusions

Mathematics Subject Classification ID

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

Related Items (15)

Multiplicative magneto-elasticity of magnetosensitive polymers incorporating micromechanically-based network kernels ⋮ Surface magnetoelasticity theory ⋮ A nonlinear theory for fibre-reinforced magneto-elastic rods ⋮ Effective balance equations for elastic composites subject to inhomogeneous potentials ⋮ Homogenization-based constitutive models for magnetorheological elastomers at finite strain ⋮ Magnetodeformation of ferrogels and ferroelastomers. effect of microstructure of the particles' spatial disposition ⋮ The quaternion beam model for hard-magnetic flexible cantilevers ⋮ Dynamic viscoelastic modeling of magnetorheological elastomers ⋮ Magnetostrictive composites in the dilute limit ⋮ Magneto-elastic modeling of composites containing chain-structured magnetostrictive particles ⋮ Bending of hard-magnetic soft beams: a finite elasticity approach with anticlastic bending ⋮ Transversely isotropic nonlinear magneto-active elastomers ⋮ A thermodynamically consistent model of magneto-elastic materials under diffusion at large strains and its analysis ⋮ On finitely strained magnetorheological elastomers ⋮ Unified magnetomechanical homogenization framework with application to magnetorheological elastomers

Uses Software

• FSQP
• FFSQP(f77)

Cites Work

• The solution of the equations of linear elasticity for an infinite region containing two spherical inclusions
• The effective elastic moduli of composite materials containing spherical inclusions at non-dilute concentrations
• Group expansions for the bulk properties of a statistically homogeneous, random suspension
• THE OVERALL ELASTIC MODULI OF A DILUTE SUSPENSION OF SPHERES
• An averaged-equation approach to particle interactions in a fluid suspension
• Equivalent Norms for Sobolev Spaces
• The determination of the bulk stress in a suspension of spherical particles to order c 2
• Sedimentation in a dilute dispersion of spheres
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