The Continuum Theory of Piezoelectricity and Piezomagnetism

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

Research output: Chapter in Book/Report/Conference proceedingChapter


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 languageEnglish (US)
Title of host publicationSpringerBriefs in Applied Sciences and Technology
PublisherSpringer Science and Business Media Deutschland GmbH
Number of pages24
StatePublished - 2020

Publication series

NameSpringerBriefs 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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