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Random Fields of Piezoelectricity and Piezomagnetism

  • Kartonierter Einband
  • 112 Seiten
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Random fields are a necessity when formulating stochastic continuum theories. In this book, a theory of random piezoelectric and p... Weiterlesen
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Beschreibung

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.




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



Inhalt

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.

Produktinformationen

Titel: Random Fields of Piezoelectricity and Piezomagnetism
Untertitel: Correlation Structures
Autor:
EAN: 9783030600631
ISBN: 3030600637
Format: Kartonierter Einband
Herausgeber: Springer International Publishing
Anzahl Seiten: 112
Gewicht: 184g
Größe: H235mm x B155mm x T6mm
Jahr: 2020
Untertitel: Englisch
Auflage: 1st ed. 2020