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Random Fields of Piezoelectricity and Piezomagnetism: Correlation Structures - Couverture souple

Livre 3 sur 3: SpringerBriefs in Mathematical Methods

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

 
9783030600631: Random Fields of Piezoelectricity and Piezomagnetism: Correlation Structures
Couverture souple
ISBN 10 : 3030600637 ISBN 13 : 9783030600631
Editeur : Springer, 2020

Synopsis

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.


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Éditeur
Springer
Date d'édition
2020
Langue
anglais
ISBN 10 
3030600637
ISBN 13 
9783030600631
Reliure
Broché
Numéro d'édition
1
Nombre de pages
112
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