A variational approach to the emergence of domain structures in magnetostrictive solids

Bresciani M, Friedrich M (2026)

Publication Type: Journal article

Publication year: 2026

Journal

Mathematics and Mechanics of Solids SAGE Publications (UK and US)

DOI: 10.1177/10812865261424226

Abstract

We consider a frame-indifferent variational model for magnetoelastic solids in the large-strain setting with the magnetization field defined on the unknown deformed configuration. Through a simultaneous linearization of the deformation and sharp-interface limit of the magnetization with respect to the easy axes, performed in terms of Γ-convergence, we identify a variational model describing the formation of domain structures and accounting for magnetostriction in the small-strain setting. Our analysis incorporates the effect of magnetic fields and, for uniaxial materials, ensures the regularity of minimizers of the effective energy.

Authors with CRIS profile

Marco Bresciani Department Mathematik

Involved external institutions

Johannes Kepler Universität (JKU) Linz AT Austria (AT)

How to cite

APA:

Bresciani, M., & Friedrich, M. (2026). A variational approach to the emergence of domain structures in magnetostrictive solids. Mathematics and Mechanics of Solids. https://doi.org/10.1177/10812865261424226

MLA:

Bresciani, Marco, and Manuel Friedrich. "A variational approach to the emergence of domain structures in magnetostrictive solids." Mathematics and Mechanics of Solids (2026).

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