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

Hale, Alison C. and Tucker, Robin W. (2014) Covariant hysteretic constitutive theory for Maxwell's equations:application to axially rotating media. Philosophical Magazine, 94 (6). pp. 594-610. ISSN 1478-6435

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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.

Item Type:
Journal Article
Journal or Publication Title:
Philosophical Magazine
Additional Information:
The final, definitive version of this article has been published in the Journal, Philosophical Magazine, 94 (6), 2014, © Informa Plc
Uncontrolled Keywords:
/dk/atira/pure/subjectarea/asjc/3100/3104
Subjects:
ID Code:
67313
Deposited By:
Deposited On:
28 Oct 2013 09:14
Refereed?:
Yes
Published?:
Published
Last Modified:
27 Oct 2020 04:14