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Random Fields of Piezoelectricity and Piezomagnetism: Correlation Structures: SpringerBriefs in Applied Sciences and Technology

Autor Anatoliy Malyarenko, Martin Ostoja-Starzewski, Amirhossein Amiri-Hezaveh
en Limba Engleză Paperback – 6 noi 2020
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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Specificații

ISBN-13: 9783030600631
ISBN-10: 3030600637
Pagini: 97
Ilustrații: XI, 97 p. 2 illus., 1 illus. in color.
Dimensiuni: 155 x 235 mm
Greutate: 0.17 kg
Ediția:1st ed. 2020
Editura: Springer International Publishing
Colecția Springer
Seriile SpringerBriefs in Applied Sciences and Technology, SpringerBriefs in Mathematical Methods

Locul publicării:Cham, Switzerland

Cuprins

Preface.- 1. Continuum Theory of Piezoelectricity and Piezomagnetism.- 2. Mathematical preliminaries.- 3. The Choice of a Basis in the Space VG.- 4. Correlation Structures.- References.- Index.

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Caracteristici

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