Linearization in magnetoelasticity
Year: 2025
Type: article
Abstract: Starting from a model of nonlinear magnetoelasticity where magnetization is defined in the Eulerian configuration while elastic deformation is in the Lagrangian one, we rigorously derive a linearized model that coincides with the standard one that already appeared in the literature and where the zero-stress strain is quadratic in the magnetization. The relation of the nonlinear and linear model is stated in terms of the Γ-convergence and convergence of minimizers.
Language: English
Subfield: Mechanics of Materials
Field: Engineering
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $2,712
Awards: Variational approaches to dynamical problems in continuum mechanics, Global and Local Behavior of Deformations, Modeling, analysis, and simulation of magnetoelastic materials, Scales and shapes in continuum thermomechanics, REinforcing Women In REsearch, G5117751118, Alternate minimization in fracture mechanics, G9000043132
OpenAlex ID: W4407200758