12,000

We have over 12,000 students, from over 100 countries, within one of the safest campuses in the UK

93%

93% of Lancaster students go into work or further study within six months of graduating

Home > Research > Publications & Outputs > Covariant hysteretic constitutive theory for Ma...
View graph of relations

« Back

Covariant hysteretic constitutive theory for Maxwell's equations: application to axially rotating media

Research output: Contribution to journalJournal article

Published

Journal publication date21/02/2014
JournalPhilosophical Magazine
Journal number6
Volume94
Number of pages17
Pages594-610
Early online date13/11/13
Original languageEnglish

Abstract

This paper explores a class of non-linear constitutive relations for materials with memory in the framework of covariant macroscopic Maxwell theory. Based on earlier models for the response of hysteretic ferromagnetic materials to prescribed slowly varying magnetic background fields, generalized models are explored that are applicable to accelerating hysteretic magneto-electric substances coupled self-consistently to Maxwell fields. Using a parameterized model consistent with experimental data for a particular material that exhibits purely ferroelectric hysteresis when at rest in a slowly varying electric field, a constitutive model is constructed that permits a numerical analysis of its response to a driven harmonic electromagnetic field in a rectangular cavity. This response is then contrasted with its predicted response when set in uniform rotary motion in the cavity.