Finite element modeling of the deformation of magnetoelastic film

Journal Article · Wed Sep 01 04:00:00 EDT 2010 · Journal of Computational Physics

DOI:https://doi.org/10.1016/j.jcp.2010.04.007· OSTI ID:21417239

Barham, Matthew I ^[1]; Steigmann, David J ^[2]

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1. Lawrence Livermore National Laboratory, 7000 East Avenue, Livermore, CA 94551 (United States)
2. 6133 Etcheverry Hall, University of California, Berkeley, CA 94720 (United States)

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 elment 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.

• OSTI ID: 21417239
• Journal Information: Journal of Computational Physics, Journal Name: Journal of Computational Physics Journal Issue: 18 Vol. 229; ISSN JCTPAH; ISSN 0021-9991
• Country of Publication: United States
• Language: English

Related Subjects

36 MATERIALS SCIENCE
97 MATHEMATICS AND COMPUTING
ANALYTICAL SOLUTION
APPROXIMATIONS
AXIAL SYMMETRY
CALCULATION METHODS
CONTROL EQUIPMENT
DEFORMATION
EQUIPMENT
FILMS
FINITE ELEMENT METHOD
MAGNETIC FIELDS
MATHEMATICAL MODELS
MATHEMATICAL SOLUTIONS
MEMBRANES
NUMERICAL SOLUTION
POLYMERS
PRESSURE REGULATORS
SIMULATION
SYMMETRY
THIN FILMS
THREE-DIMENSIONAL CALCULATIONS