The Continuum Theory of Piezoelectricity and Piezomagnetism

Anatoliy Malyarenko; Martin Ostoja-Starzewski; Amirhossein Amiri-Hezaveh

doi:10.1007/978-3-030-60064-8_1

The Continuum Theory of Piezoelectricity and Piezomagnetism

Anatoliy Malyarenko, Martin Ostoja-Starzewski, Amirhossein Amiri-Hezaveh

Research output: Chapter in Book/Report/Conference proceeding › Chapter

Abstract

Following the motivation of this work, this chapter introduces the basic concepts of continuum mechanics and electromagnetism. Attention is then focused on linear piezoelectricity, elaborating two ways of writing the governing equations: the displacement approach and the stress approach. This leads to variational principles. The final section provides a basis for generalising piezoelectricity—and, by mathematical analogy, piezomagnetism—to random media whose description necessitates tensor-valued random fields.

Original language	English (US)
Title of host publication	SpringerBriefs in Applied Sciences and Technology
Publisher	Springer Science and Business Media Deutschland GmbH
Pages	1-24
Number of pages	24
DOIs	https://doi.org/10.1007/978-3-030-60064-8_1
State	Published - 2020

Publication series

Name	SpringerBriefs in Applied Sciences and Technology
ISSN (Print)	2191-530X
ISSN (Electronic)	2191-5318

ASJC Scopus subject areas

Biotechnology
Chemical Engineering(all)
Mathematics(all)
Materials Science(all)
Energy Engineering and Power Technology
Engineering(all)

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10.1007/978-3-030-60064-8_1

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The Continuum Theory of Piezoelectricity and Piezomagnetism. / Malyarenko, Anatoliy; Ostoja-Starzewski, Martin; Amiri-Hezaveh, Amirhossein.

SpringerBriefs in Applied Sciences and Technology. Springer Science and Business Media Deutschland GmbH, 2020. p. 1-24 (SpringerBriefs in Applied Sciences and Technology).

Research output: Chapter in Book/Report/Conference proceeding › Chapter

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