Random Fields of Piezoelectricity and Piezomagnetism
Random Fields of Piezoelectricity and Piezomagnetism

Author: Anatoliy Malyarenko

Publisher: Springer Nature

Published: 2020-11-05

Total Pages: 106

ISBN-13: 3030600645

DOWNLOAD EBOOK

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.

Stochastic Elasticity
Stochastic Elasticity

Author: L. Angela Mihai

Publisher: Springer Nature

Published: 2022-09-01

Total Pages: 283

ISBN-13: 3031066928

DOWNLOAD EBOOK

Stochastic elasticity is a fast developing field that combines nonlinear elasticity and stochastic theories in order to significantly improve model predictions by accounting for uncertainties in the mechanical responses of materials. However, in contrast to the tremendous development of computational methods for large-scale problems, which have been proposed and implemented extensively in recent years, at the fundamental level, there is very little understanding of the uncertainties in the behaviour of elastic materials under large strains. Based on the idea that every large-scale problem starts as a small-scale data problem, this book combines fundamental aspects of finite (large-strain) elasticity and probability theories, which are prerequisites for the quantification of uncertainties in the elastic responses of soft materials. The problems treated in this book are drawn from the analytical continuum mechanics literature and incorporate random variables as basic concepts along with mechanical stresses and strains. Such problems are interesting in their own right but they are also meant to inspire further thinking about how stochastic extensions can be formulated before they can be applied to more complex physical systems.

Piezoelectricity: Volume Two
Piezoelectricity: Volume Two

Author: Walter Guyton Cady

Publisher: Courier Dover Publications

Published: 2018-10-17

Total Pages: 435

ISBN-13: 0486828611

DOWNLOAD EBOOK

Second in two-volume series covers properties and techniques of quartz, Rochelle salt, ferroelectric crystals, various applications of piezoelectricity, pyroelectricity, optical properties of crystals, and atomic theory of piezoelectricicty. 1946 edition.

Ising-type Antiferromagnets
Ising-type Antiferromagnets

Author: Christian Binek

Publisher: Springer Science & Business Media

Published: 2003-09-22

Total Pages: 138

ISBN-13: 9783540404286

DOWNLOAD EBOOK

Selected modern aspects of artificially layered structures and bulk materials involving antiferromagnetic long-range order are the main themes of this book. Special emphasis is laid on the prototypical behavior of Ising-type model systems. They play a crucial role in the field of statistical physics and, in addition, contribute to the basic understanding of the exchange bias phenomenon in MBE-grown magnetic heterosystems. Throughout the book, particular attention is given to the interplay between experimental results and their theoretical description, ranging from the famous Lee-Yang theory of phase transitions to novel mechanisms of exchange bias.

Piezoelectric Energy Harvesting
Piezoelectric Energy Harvesting

Author: Alper Erturk

Publisher: John Wiley & Sons

Published: 2011-04-04

Total Pages: 377

ISBN-13: 1119991358

DOWNLOAD EBOOK

The transformation of vibrations into electric energy through the use of piezoelectric devices is an exciting and rapidly developing area of research with a widening range of applications constantly materialising. With Piezoelectric Energy Harvesting, world-leading researchers provide a timely and comprehensive coverage of the electromechanical modelling and applications of piezoelectric energy harvesters. They present principal modelling approaches, synthesizing fundamental material related to mechanical, aerospace, civil, electrical and materials engineering disciplines for vibration-based energy harvesting using piezoelectric transduction. Piezoelectric Energy Harvesting provides the first comprehensive treatment of distributed-parameter electromechanical modelling for piezoelectric energy harvesting with extensive case studies including experimental validations, and is the first book to address modelling of various forms of excitation in piezoelectric energy harvesting, ranging from airflow excitation to moving loads, thus ensuring its relevance to engineers in fields as disparate as aerospace engineering and civil engineering. Coverage includes: Analytical and approximate analytical distributed-parameter electromechanical models with illustrative theoretical case studies as well as extensive experimental validations Several problems of piezoelectric energy harvesting ranging from simple harmonic excitation to random vibrations Details of introducing and modelling piezoelectric coupling for various problems Modelling and exploiting nonlinear dynamics for performance enhancement, supported with experimental verifications Applications ranging from moving load excitation of slender bridges to airflow excitation of aeroelastic sections A review of standard nonlinear energy harvesting circuits with modelling aspects.