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Proceedings Paper

A micropolar continuum model for large deformation caused by magnetic or electric fields
Author(s): Ingo Münch; Patrizio Neff; Werner Wagner
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Paper Abstract

An appropriate continuum theory to predict the behavior of flexible magnetic or electrically polarized materials undergoing large deformations is explained. The formulation treats the angular momentum as an explicit complementary principle including net-couples from magnetic resp. electric fields. As a consequence non-symmetric Cauchy stresses are mandatory for equilibrium, which is unlike in classical theories. However, the micropolar model is in accordance with classical phenomenological modeling parameters but with the feature to cover large deformations and non-classical types of loading. The formulation considers rotational degrees of freedom to appear in the kinematical equations as exact rotations in SO(3). This is a source of nonlinearity in the model but allows easily for large deformation as well as for net-couples. A simple example is the torque of a compass needle to explain the effect of materials with remanent magnetization within a magnetic field. The twisting moment becomes a maximum for remanent magnetization being perpendicular to an outer magnetic field. It vanishes if both fields are parallel. We investigate magnetic structures using finite element simulations. The development of active materials on the micro-level is in the focus.

Paper Details

Date Published: 28 April 2011
PDF: 14 pages
Proc. SPIE 7978, Behavior and Mechanics of Multifunctional Materials and Composites 2011, 797824 (28 April 2011); doi: 10.1117/12.880568
Show Author Affiliations
Ingo Münch, Karlsruhe Institute of Technology (Germany)
Patrizio Neff, Univ. of Duisburg-Essen (Germany)
Werner Wagner, Karlsruhe Institute of Technology (Germany)

Published in SPIE Proceedings Vol. 7978:
Behavior and Mechanics of Multifunctional Materials and Composites 2011
Zoubeida Ounaies; Stefan S. Seelecke, Editor(s)

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