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Magnetic Damping01:17

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Eddy currents can produce significant drag on motion, called magnetic damping. For instance, when a metallic pendulum bob swings between the poles of a strong magnet, significant drag acts on the bob as it enters and leaves the field, quickly damping the motion.
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Materials like iron, nickel, and cobalt consist of magnetic domains, within which the magnetic dipoles are arranged parallel to each other. The magnetic dipoles are rigidly aligned in the same direction within a domain by quantum mechanical coupling among the atoms. This coupling is so strong that even thermal agitation at room temperature cannot break it. The result is that each domain has a net dipole moment. However, some materials have weaker coupling, and are ferromagnetic at lower...
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A superconductor is a substance that offers zero resistance to the electric current when it drops below a critical temperature. Zero resistance is not the only interesting phenomenon as materials reach their transition temperatures. A second effect is the exclusion of magnetic fields. This is known as the Meissner effect. A light, permanent magnet placed over a superconducting sample will levitate in a stable position above the superconductor. High-speed trains that levitate on strong...
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Two NMR-active nuclei bonded to a central atom can be involved in geminal or two-bond coupling. Geminal coupling is commonly seen between diastereotopic protons in chiral molecules and unsymmetrical alkenes, among others.
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Magnetic dipoles in magnetic materials are aligned when placed under an external magnetic field. For paramagnets and ferromagnets, dipole alignment occurs in the direction of the magnetic field. However, the dipoles align opposite to the field in the case of diamagnets. This state of magnetic polarization due to the external field is called magnetization. Magnetization is defined as the dipole moment per unit volume. It plays a similar role to polarization in electrostatics.
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In bromoethane, the three methyl protons are coupled to the two methylene protons that are three bonds away. In accordance with the n+1 rule, the signal from the methyl protons is split into three peaks with 1:2:1 relative intensities. The methylene protons appear as a quartet, with the relative intensities of 1:3:3:1.
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Curing spurious magneto-mechanical coupling in soft non-magnetic materials.

Matthias Rambausek1, Joachim Schöberl1

  • 1Institute of Analysis and Scientific Computing TU Wien Vienna Austria.

International Journal for Numerical Methods in Engineering
|March 26, 2024
PubMed
Summary

This study introduces two novel methods to eliminate spurious magneto-mechanical coupling in finite element simulations of soft materials. These techniques ensure accurate simulations for compliant structures, enhancing computational reliability.

Keywords:
finite elasticityfinite magneto‐elasticitymagnetostaticsnumerical artifactspurious coupling

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Area of Science:

  • Computational Mechanics
  • Electromagnetism
  • Material Science

Background:

  • Spurious magneto-mechanical coupling is a common issue in finite element simulations, particularly with soft or air-like non-magnetic media.
  • Understanding the energy-based origins of these spurious effects is crucial for developing effective solutions.

Purpose of the Study:

  • To characterize and interpret spurious magneto-mechanical effects in computational simulations.
  • To propose and validate novel methods for completely eliminating these undesired couplings in non-magnetic media.

Main Methods:

  • Characterization of spurious effects using energy principles.
  • Development and implementation of two new computational methods to suppress magneto-mechanical coupling.
  • Comparative analysis of proposed methods against existing techniques using finite element simulations.

Main Results:

  • The proposed methods effectively eliminate spurious magneto-mechanical coupling in non-magnetic media.
  • Demonstrated accuracy and effectiveness in simulations involving magnetic bodies in air/vacuum and soft elastic media.
  • Enabled consistent linearization of coupled boundary value problems, vital for simulating compliant structures.

Conclusions:

  • The novel approaches provide accurate and effective solutions for spurious coupling in magneto-mechanical simulations.
  • The methods facilitate reliable simulation of compliant structures by ensuring consistent linearization.
  • Open-source implementations are provided for reproducibility and accessibility.