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    Rights statement: The final, definitive version of this article has been published in the Journal, Philosophical Magazine, 94 (6), 2014, © Informa Plc

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

Research output: Contribution to Journal/Magazine › Journal article › peer-review

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Covariant hysteretic constitutive theory for Maxwell's equations: application to axially rotating media. / Hale, Alison C.; Tucker, Robin W.
In: Philosophical Magazine, Vol. 94, No. 6, 21.02.2014, p. 594-610.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Hale, AC & Tucker, RW 2014, 'Covariant hysteretic constitutive theory for Maxwell's equations: application to axially rotating media', Philosophical Magazine, vol. 94, no. 6, pp. 594-610. https://doi.org/10.1080/14786435.2013.858835

APA

Hale, A. C., & Tucker, R. W. (2014). Covariant hysteretic constitutive theory for Maxwell's equations: application to axially rotating media. Philosophical Magazine, 94(6), 594-610. https://doi.org/10.1080/14786435.2013.858835

Vancouver

Hale AC, Tucker RW. Covariant hysteretic constitutive theory for Maxwell's equations: application to axially rotating media. Philosophical Magazine. 2014 Feb 21;94(6):594-610. Epub 2013 Nov 13. doi: 10.1080/14786435.2013.858835

Author

Hale, Alison C. ; Tucker, Robin W. / Covariant hysteretic constitutive theory for Maxwell's equations : application to axially rotating media. In: Philosophical Magazine. 2014 ; Vol. 94, No. 6. pp. 594-610.

Bibtex

@article{9f1779d43d4645f0bc1fe805d47ed239,
title = "Covariant hysteretic constitutive theory for Maxwell's equations: application to axially rotating media",
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.",
keywords = "hysteresis, ferroelectricity , ferromagnetism , multiferroics , electromagnetism , constitutive theory , differential geometry",
author = "Hale, {Alison C.} and Tucker, {Robin W.}",
note = "The final, definitive version of this article has been published in the Journal, Philosophical Magazine, 94 (6), 2014, {\textcopyright} Informa Plc ",
year = "2014",
month = feb,
day = "21",
doi = "10.1080/14786435.2013.858835",
language = "English",
volume = "94",
pages = "594--610",
journal = "Philosophical Magazine",
issn = "1478-6435",
publisher = "TAYLOR & FRANCIS LTD",
number = "6",

}

RIS

TY - JOUR

T1 - Covariant hysteretic constitutive theory for Maxwell's equations

T2 - application to axially rotating media

AU - Hale, Alison C.

AU - Tucker, Robin W.

N1 - The final, definitive version of this article has been published in the Journal, Philosophical Magazine, 94 (6), 2014, © Informa Plc

PY - 2014/2/21

Y1 - 2014/2/21

N2 - 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.

AB - 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.

KW - hysteresis

KW - ferroelectricity

KW - ferromagnetism

KW - multiferroics

KW - electromagnetism

KW - constitutive theory

KW - differential geometry

U2 - 10.1080/14786435.2013.858835

DO - 10.1080/14786435.2013.858835

M3 - Journal article

VL - 94

SP - 594

EP - 610

JO - Philosophical Magazine

JF - Philosophical Magazine

SN - 1478-6435

IS - 6

ER -