Finite element modeling of the deformation of magnetoelastic film

Barham, Matthew; White, Dan; Steigmann, David J.

doi:10.1016/j.jcp.2010.04.007

Cited by 24 publications

(14 citation statements)

References 26 publications

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“…While several constitutive models of MRE behavior exist, and have been used in finite element simulations, these models deal with soft-magnetic material response and hence focus on magnetostrictive mechanisms of actuation [15][16][17][18][19][20][21][22][23][24][25]. Magnetostrictive phenomena are incapable or producing bending in a homogenous MAE cantilever as has been shown previously [11,12].…”

Section: Previous Numerical Modelingmentioning

confidence: 99%

Folding Actuation and Locomotion of Novel Magneto-Active Elastomer (MAE) Composites

Lockette

Sheridan

2013

Volume 1: Development and Characterization of Multifunctional Materials; Modeling, Simulation and Control of Adaptive Systems;

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Magneto-active elastomers (also called magnetorheological elastomers) are most often used in vibration attenuation application due to their ability to increase in shear modulus under a magnetic field. These shear-stiffening materials are generally comprised of soft-magnetic iron particles embedded in a rubbery elastomer matrix. More recently researchers have begun fabricating MAEs using hard-magnetic particles such as barium ferrite. Under the influence of uniform magnetic fields these hard-magnetic MAEs have shown large deformation bending behaviors resulting from magnetic torques acting on the distributed particles and consequently highlight their ability for use as remotely powered actuators. Using the magnetic-torque-driven hard-magnetic MAE materials and an unfilled silicone elastomer, this work develops novel composite geometries for actuation and locomotion. MAE materials are fabricated using 30% v/v 325 mesh barium ferrite particles in Dow Corning HS II silicone elastomers. MAE materials are cured in a 2T magnetic field to create magnetically aligned (anisotropic) materials as confirmed by vibrating sample magnetometry (VSM). Gelest optical encapsulant is used as the uniflled elastomer material. Mechanical actuation tests of cantilevers in bending and of accordion folding structures highlight the ability of the material to perform work in moderate, uniform fields of μ0H = 150 mT. Computational simulations are developed for comparison. Folding structures are also investigated as a means to produce untethered locomotion across a flat surface when subjected to an alternating field similar to scratch drive actuators; geometries investigated show promising results.

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Section: Previous Numerical Modelingmentioning

confidence: 99%

Folding Actuation and Locomotion of Novel Magneto-Active Elastomer (MAE) Composites

Lockette

Sheridan

2013

Volume 1: Development and Characterization of Multifunctional Materials; Modeling, Simulation and Control of Adaptive Systems;

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“…However, such closed-form solutions are not in general possible when the geometry of the material body has finite dimensions. Thus, in order to find solutions to boundary-value problems it is necessary to adopt a numerical approach, and this paper has provided an illustration of this based on the finite element method, which appears not to have been used to any extent thus far for nonlinear magnetoelastic problems; see, however, the papers by Barham et al (2009Barham et al ( , 2010, which develop a finite element analysis of the deformation of thin magnetoelastic films. It should also be mentioned that for nonlinear electroelastic problems, a finite element formulation has been developed by Vu et al (2007).…”

Section: Discussionmentioning

confidence: 99%

Numerical solution of finite geometry boundary-value problems in nonlinear magnetoelasticity

Bustamante

Dorfmann

Ogden

2011

International Journal of Solids and Structures

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Artículo de publicación ISIThis paper provides examples of the numerical solution of boundary-value problems in nonlinear magnetoelasticity involving finite geometry based on the theoretical framework developed by Dorfmann and co-workers. Specifically, using a prototype constitutive model for isotropic magnetoelasticity, we consider two two-dimensional problems for a block with rectangular cross-section and of infinite extent in the third direction. In the first problem the deformation induced in the block by the application of a uniform magnetic field far from the block and normal to its larger faces without mechanical load is examined, while in the second problem the same magnetic field is applied in conjunction with a shearing deformation produced by in-plane shear stresses on its larger faces. For each problem the distribution of the magnetic field throughout the block and the surrounding space is illustrated graphically, along with the corresponding deformation of the block. The rapidly (in space) changing magnitude of the magnetic field in the neighbourhood of the faces of the block is highlighted.Bustamante would like to express his gratitude for the financial support provided by FONDECYT (Chile) under Grant No. 11085024. Dorfmann acknowledges support from the United States – Israel Binational Science Foundation (BSF), Grant No. 2008419. The work of Ogden was supported by Grant No. EP/H016619/1 from the Engineering and Physical Sciences Research Council (UK), and by a grant from the Carnegie Trust for the Universities of Scotland

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“…In this limit the self field may be generated from (26) a posteriori, and plays only a passive role in the analysis. Alternatively, a direct simulation of the field may be based on a discretization of Maxwell's equations in the space surrounding the body [4,19]. In Section 3 we use a result derived in [8] for thin films to show that the tractability of the formulation adopted in [7] is retained when the magnetization and applied fields are comparable in magnitude.…”

Section: From (17)-(19) We Havementioning

confidence: 99%

Magnetoelasticity of highly deformable thin films: Theory and simulation

Barham¹,

Steigmann²,

White³

2012

International Journal of Non-Linear Mechanics

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A nonlinear two-dimensional theory is developed for thin magnetoelastic films capable of large deformations. This is derived directly from the three-dimensional theory. Significant simplifications emerge in the descent from three dimensions to two, permitting the self field generated by the body to be computed a posteriori. The model is specialized to isotropic elastomers and numerical solutions are obtained to equilibrium boundaryvalue problems in which the membrane is subjected to lateral pressure and an applied magnetic field.

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Finite element modeling of the deformation of magnetoelastic film

Cited by 24 publications

References 26 publications

Folding Actuation and Locomotion of Novel Magneto-Active Elastomer (MAE) Composites

Folding Actuation and Locomotion of Novel Magneto-Active Elastomer (MAE) Composites

Numerical solution of finite geometry boundary-value problems in nonlinear magnetoelasticity

Magnetoelasticity of highly deformable thin films: Theory and simulation

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