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SpringerBriefs in Mathematical Methods

Random Fields of Piezoelectricity and Piezomagnetism

Correlation Structures

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

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  • Reviews displacement-based and stress-based theories of linear piezoelectric and piezomagnetic materials
  • Gives an account of the corresponding variational principles
  • Presents a random field formulation of piezoelectricity and piezomagnetism
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  • ISBN 978-3-030-60064-8
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Softcover $59.99
price for USA in USD
  • ISBN 978-3-030-60063-1
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  • Usually ready to be dispatched within 3 to 5 business days, if in stock
About this book

Random fields are a necessity when formulating stochastic continuum theories. In this book, a theory of random piezoelectric and piezomagnetic materials is developed. First, elements of the continuum mechanics of electromagnetic solids are presented. Then the relevant linear governing equations are introduced, written in terms of either a displacement approach or a stress approach, along with linear variational principles. On this basis, a statistical description of second-order (statistically) homogeneous and isotropic rank-3 tensor-valued random fields is given. With a group-theoretic foundation, correlation functions and their spectral counterparts are obtained in terms of stochastic integrals with respect to certain random measures for the fields that belong to orthotropic, tetragonal, and cubic crystal systems. The target audience will primarily comprise researchers and graduate students in theoretical mechanics, statistical physics, and probability.


Table of contents (4 chapters)

Table of contents (4 chapters)

Buy this book

eBook $44.99
price for USA in USD
  • ISBN 978-3-030-60064-8
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $59.99
price for USA in USD
  • ISBN 978-3-030-60063-1
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Bibliographic Information

Bibliographic Information
Book Title
Random Fields of Piezoelectricity and Piezomagnetism
Book Subtitle
Correlation Structures
Authors
Series Title
SpringerBriefs in Mathematical Methods
Copyright
2020
Publisher
Springer International Publishing
Copyright Holder
The Author(s), under exclusive license to Springer Nature Switzerland AG
eBook ISBN
978-3-030-60064-8
DOI
10.1007/978-3-030-60064-8
Softcover ISBN
978-3-030-60063-1
Series ISSN
2365-0826
Edition Number
1
Number of Pages
XI, 97
Number of Illustrations
1 b/w illustrations, 1 illustrations in colour
Topics