Work

Homogenization of Magnetoelastic Materials with Rigid Magnetic Inclusions at Small Strains

Year: 2025

Type: article

Abstract: We investigate a homogenization problem for a linearly elastic magnetic material that incorporates elastically rigid magnetic inclusions firmly bonded to the matrix. By considering a periodic arrangement of this material, we identify an effective magnetoelastic energy, obtained by homogenization when the period approaches zero. For comparison, we also briefly discuss alternative, essentially equivalent magnetic models naturally linked by a Legendre-Fenchel transform of magnetic energy density where the elastic deformation enters as a parameter.

Source: Journal of Nonlinear Science

DOI: 10.1007/s00332-025-10219-7

Authors: Raffaele Grande, Stefan Krömer, Martin Kružík, Giuseppe Tomassetti

Institutions: Czech Academy of Sciences, Czech Academy of Sciences, Institute of Information Theory and Automation, Roma Tre University

Language: English

Topic: Advanced Mathematical Modeling in Engineering

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,290

Funders: Istituto Nazionale di Alta Matematica "Francesco Severi", Dipartimenti di Eccellenza, Grantová Agentura České Republiky, Gruppo Nazionale per la Fisica Matematica