Random Fields of Piezoelectricity and Piezomagnetism

(0) Erste Bewertung abgeben
20%
CHF 57.60 Sie sparen CHF 14.40
Print on Demand - Auslieferung erfolgt in der Regel innert 4 bis 6 Wochen.
Kartonierter Einband

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.

Mehr anzeigen

Produktinformationen

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

Weitere Produkte aus der Reihe "SpringerBriefs in Mathematical Methods"

Andere Kunden kauften auch