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Random fields of piezoelectricity an...

Malyarenko, Anatoliy.

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Random fields of piezoelectricity and piezomagnetism = correlation structures /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Random fields of piezoelectricity and piezomagnetism/ by Anatoliy Malyarenko, Martin Ostoja-Starzewski, Amirhossein Amiri-Hezaveh.
Reminder of title:	correlation structures /
Author:	Malyarenko, Anatoliy.
other author:	Ostoja-Starzewski, Martin.
Published:	Cham :Springer International Publishing : : 2020.,
Description:	xi, 97 p. :ill., digital ;24 cm.
[NT 15003449]:	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.
Contained By:	Springer Nature eBook
Subject:	Piezoelectricity. -
Online resource:	https://doi.org/10.1007/978-3-030-60064-8
ISBN:	9783030600648

Random fields of piezoelectricity and piezomagnetism = correlation structures /
Malyarenko, Anatoliy.

Random fields of piezoelectricity and piezomagnetismcorrelation structures /[electronic resource] :by Anatoliy Malyarenko, Martin Ostoja-Starzewski, Amirhossein Amiri-Hezaveh. - Cham :Springer International Publishing :2020. - xi, 97 p. :ill., digital ;24 cm. - SpringerBriefs in applied sciences and technology. Mathematical methods.. - SpringerBriefs in applied sciences and technology.Mathematical methods..

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.

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.

ISBN: 9783030600648

Standard No.: 10.1007/978-3-030-60064-8doiSubjects--Topical Terms:

649435
Piezoelectricity.

LC Class. No.: QC585.5 / .M35 2020

Dewey Class. No.: 537.2446

Random fields of piezoelectricity and piezomagnetism = correlation structures /
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520 $a 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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