Rate-independent memory in magneto-elastic materials

Davino, D.; Visone, C.

doi:10.3934/dcdss.2015.8.649

Cited by 5 publications

(1 citation statement)

References 19 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In the second case, these are understood in the energetic sense according to the theory of rate-independent processes [31]. This framework appears to be adequate in view the hysteretic character of magnetostrictive phenomena [10]. Before presenting our results, we briefly review the most relevant literature.…”

Section: Introductionmentioning

confidence: 99%

Quasistatic evolution in magnetoelasticity under subcritical coercivity assumptions

Bresciani¹

2022

Preprint

View full text Add to dashboard Cite

We study a variational model of magnetoelasticity both in the static and in the quasistatic setting. The model features a mixed Eulerian-Lagrangian formulation, as magnetizations are defined on the deformed configuration in the actual space. The magnetic saturation constraint is formulated in the reference configuration and involves the Jacobian determinant of deformations. These belong to the class of possibility discontinuous deformations excluding cavitation introduced by Barchiesi, Henao and Mora-Corral. We establish a compactness result which, in particular, yields the convergence of the compositions of magnetizations with deformations. In the static setting, this enables us to prove the existence of minimizers by means of classical lower semicontinuity methods. Our compactness result also allows us to address the analysis in the quasistatic setting, where we examine rate-independent evolutions driven by applied loads and boundary conditions. In this case, we prove the existence of energetic solutions.

show abstract

Section: Introductionmentioning

confidence: 99%