A micropolar continuum model for large deformation caused by magnetic or electric fields

Ingo Münch; Patrizio Neff; Werner Wagner

doi:10.1117/12.880568

28 April 2011 A micropolar continuum model for large deformation caused by magnetic or electric fields

Ingo Münch, Patrizio Neff, Werner Wagner

Proceedings Volume 7978, Behavior and Mechanics of Multifunctional Materials and Composites 2011; 797824 (2011) https://doi.org/10.1117/12.880568
Event: SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring, 2011, San Diego, California, United States

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.

Citation Download Citation

Ingo Münch, Patrizio Neff, and Werner Wagner "A micropolar continuum model for large deformation caused by magnetic or electric fields", Proc. SPIE 7978, Behavior and Mechanics of Multifunctional Materials and Composites 2011, 797824 (28 April 2011); https://doi.org/10.1117/12.880568

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