Flexible identification procedure for thermodynamic constitutive models for magnetostrictive materials

Area of Science:

• Materials Science
• Solid Mechanics
• Electromagnetism

Background:

• Developing accurate constitutive laws for magneto-mechanical materials is crucial for predicting their behavior under complex loads.
• Existing analytical approaches often have limitations in capturing the intricate magneto-mechanical responses.

Purpose of the Study:

• To present a novel spline interpolation technique for identifying multiaxial thermodynamic magneto-mechanical constitutive laws.
• To validate the proposed model against multiscale simulations and experimental data.

Main Methods:

• Direct bi- or trivariate spline interpolation using magnetization and magnetostriction data.
• Generation of reference data via a multiscale model under magnetic field and combined stresses.
• Comparison of the spline-based thermodynamic model with multiscale results and experimental data from electrical steel.

Main Results:

• The thermodynamic model demonstrates good agreement with the multiscale model under complex multiaxial loadings.
• Identified differences in magnetostrictive behavior between the models.
• Successful fitting of the spline-based constitutive law to experimental measurements from electrical steel.

Conclusions:

• The spline-based constitutive law offers a robust and accurate alternative to traditional analytical methods.
• The developed model effectively captures multiaxial magneto-mechanical behavior.
• Open availability of models and data facilitates further research and application.