Magnetoelastic modelling of elastomers

By A. Dorfmann, Ray W. Ogden. 2003

289 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering

View Paper: https://www.semanticscholar.org/paper/6f9438884cbc3324874e85a1352c1ce6eb79b069

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In Civil and Structural Engineering

Citations in the corpus

Nonlinear magnetoelastic deformations of elastomers (2004, methodology): “which, without the term in mðI4Þ, was used by Dorfmann and Ogden [ 6 ].”
Transversely isotropic nonlinear magneto-active elastomers (2010, background): “B0 give the corresponding Lagrangian forms of the magnetic field vector, denoted Hl, and magnetic induction vector, denoted by Bl. The connections are (see, for example, [ 11 ,12,32])”
The elastic and damping properties of magnetorheological elastomers (2006, background): “Dorfmann and Ogden [31] have showed theoretically, that the influence of a magnetic field makes the shear response of an isotropic MRE stiffer.”
Mechanics of hard-magnetic soft materials (2019, methodology): “, 2018 ), we have developed a constitutive model for ideal hard-magnetic soft materials based on the framework of isotropic magneto-sensitive Cauchy-elastic solids developed by Dorfmann and Ogden (2003) .”
On finitely strained magnetorheological elastomers (2004, background): “10 We would like to mention at this point the recent work of Brigadnov and Dorfmann (2003) and Dorfmann and Ogden (2003) on (isotropic) modeling of similar MREs.”
A theory of finite deformation magneto-viscoelasticity (2013, methodology): “Balance of energy is written in the local form as (cf. Pao (1978), Dorfmann and Ogden (2003)) ρ d dt ( U + 1 2 |v|2 ) + div Q = div (σv) + [ρfm + f] · v + ρR +we, (12) where U and R denote the internal energy and radiant heating per unit mass, Q is the heat flux, σ is the purely mechanical Cauchy…”
Experiments and modeling of iron-particle-filled magnetorheological elastomers (2012, background): “…is a free energy density that depends on the magnetization per unit mass M of the material, in contrast to other recent variational formulations (e.g., Brigadnov and Dorfmann, 2003; Dorfmann and Ogden, 2003), where the magnetic field B is taken as the independent variable (see also Kovetz, 2000).”