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Finite element modeling of the deformation of magnetoelastic film. (English) Zbl 1198.78003

Summary: Recently a new class of biocompatible elastic polymers loaded with small ferrous particles, a magnetoelastic polymer, has been developed. This engineered material is formed into a thin film using spin casting. An applied magnetic field will deform the film. The magnetic deformation of this film has many possible applications, particularly in microfluidic pumps and pressure regulators. In this paper a finite element method suitable for the transient simulation of arbitrarily shaped three-dimensional magnetoelastic polymers subjected to time-varying magnetic fields is developed. The approach is similar to that employed in finite element magnetohydrodynamic simulations, the key difference is a more complex hyperelastic material model. In order to confirm the validity of the approach, finite element solutions for an axially symmetric thin film are compared to an analytical solution based on the membrane (infinitely thin) approximation. For this particular problem the two approaches give qualitatively similar results and converge as the film thickness approaches zero.

MSC:

78A30 Electro- and magnetostatics
74F15 Electromagnetic effects in solid mechanics
78M10 Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory
74S05 Finite element methods applied to problems in solid mechanics
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