Curing spurious magneto-mechanical coupling in soft non-magnetic materials.

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.