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Finite deformation of a pressurized magnetoelastic membrane in a stationary dipole field

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An Erratum to this article was published on 27 July 2011

Summary

A nonlinear boundary-value problem for the equilibrium of a pressurized magnetoelastic membrane acted upon by an applied magnetic field is derived from three-dimensional magnetoelasticity. The model is specified entirely by differential equations in the limit of weak material magnetization, these replacing the integro-differential equations of the general theory. The model is further specialized to axisymmetry, and several problems of technical interest are solved numerically.

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Authors and Affiliations

  1. Department of Mechanical Engineering, University of California, Berkeley, CA, 94720

    M. Barham & D. J. Steigmann

  2. Lawrence Livermore National Laboratory, Livermore, CA, 94551, U.S.A

    M. McElfresh & R. E. Rudd

Authors
  1. M. Barham
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  2. D. J. Steigmann
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  3. M. McElfresh
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  4. R. E. Rudd
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Corresponding author

Correspondence to D. J. Steigmann.

Additional information

An erratum to this article is available at http://dx.doi.org/10.1007/s00707-011-0509-8.

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Barham, M., Steigmann, D.J., McElfresh, M. et al. Finite deformation of a pressurized magnetoelastic membrane in a stationary dipole field. Acta Mechanica 191, 1–19 (2007). https://doi.org/10.1007/s00707-007-0445-9

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