Theory Of Electroelasticity

Author : Zhen-Bang Kuang
Publisher : Springer Science & Business Media
Page : 438 pages
File Size : 51,8 Mb
Release : 2013-08-04
Category : Science
ISBN : 9783642362910

Get Book

Theory of Electroelasticity by Zhen-Bang Kuang Pdf

Theory of Electroelasticity analyzes the stress, strain, electric field and electric displacement in electroelastic structures such as sensors, actuators and other smart materials and structures. This book also describes new theories such as the physical variational principle and the inertial entropy theory. It differs from the traditional method by using the physical variational principle to derive the governing equations of the piezoelectric material, whereas the Maxwell stress is obtained automatically. By using the inertial entropy theory, the temperature wave equation is obtained very easily. The book is intended for scientists, researchers and engineers in the areas of mechanics, physics, smart material and control engineering as well as mechanical, aeronautical and civil engineering, etc. Zhen-Bang Kuang is a professor at Shanghai Jiao Tong University.

Author : Luis Dorfmann,Ray W. Ogden
Publisher : Springer Science & Business Media
Page : 318 pages
File Size : 43,8 Mb
Release : 2014-02-06
Category : Technology & Engineering
ISBN : 9781461495963

Get Book

Nonlinear Theory of Electroelastic and Magnetoelastic Interactions by Luis Dorfmann,Ray W. Ogden Pdf

This book provides a unified theory on nonlinear electro-magnetomechanical interactions of soft materials capable of large elastic deformations. The authors include an overview of the basic principles of the classic theory of electromagnetism from the fundamental notions of point charges and magnetic dipoles through to distributions of charge and current in a non-deformable continuum, time-dependent electromagnetic fields and Maxwell’s equations. They summarize relevant theories of continuum mechanics, required to account for the deformability of material and present a constitutive framework for the nonlinear magneto-and electroelastic interactions in a highly deformable material. The equations contained in the book formulate and solve a variety of representative boundary-value problems for both nonlinear magnetoelasticity and electroelasticity.

Author : A. Luis Dorfmann,Ray W. Ogden
Publisher : Springer
Page : 313 pages
File Size : 43,5 Mb
Release : 2014-02-07
Category : Technology & Engineering
ISBN : 1461495970

Get Book

Nonlinear Theory of Electroelastic and Magnetoelastic Interactions by A. Luis Dorfmann,Ray W. Ogden Pdf

This book provides a unified theory on nonlinear electro-magnetomechanical interactions of soft materials capable of large elastic deformations. The authors include an overview of the basic principles of the classic theory of electromagnetism from the fundamental notions of point charges and magnetic dipoles through to distributions of charge and current in a non-deformable continuum, time-dependent electromagnetic fields and Maxwell’s equations. They summarize relevant theories of continuum mechanics, required to account for the deformability of material and present a constitutive framework for the nonlinear magneto-and electroelastic interactions in a highly deformable material. The equations contained in the book formulate and solve a variety of representative boundary-value problems for both nonlinear magnetoelasticity and electroelasticity.

Author : Nellya N. Rogacheva
Publisher : CRC Press
Page : 270 pages
File Size : 40,5 Mb
Release : 2020-09-10
Category : Technology & Engineering
ISBN : 9781000141498

Get Book

The Theory of Piezoelectric Shells and Plates by Nellya N. Rogacheva Pdf

This is the first book devoted to a systematic description of the linear theory of piezoelectric shells and plates theory. The book contains two parts. In the first part, the theories for electroelastic thin-walled elements of arbitrary form with different directions of preliminary polarization are presented in an easy form for practical use. The approximate methods for integrating the equations of piezoelectric shells and plates are developed and applied for solving some engineering problems. In the second part, the theory of piezoelectric shells and plates is substantiated by the asymptotic method. The area of applicability for different kinds of electroelastic shell theories is studied. A new problem concerning the electroelastic phenomena at the edge of a thin-walled element is raised and solved. The Theory of Piezoelectric Shells and Plates will be valuable to researchers working in the field of electroelasticity as well as to electrical and electronic engineers who use thin-walled piezoelements. It is also be helpful for students and post-graduates specializing in mechanics and for scientists concerning asymptotic methods.

Author : Jiashi Yang
Publisher : Springer
Page : 289 pages
File Size : 52,8 Mb
Release : 2018-12-29
Category : Technology & Engineering
ISBN : 9783030031374

Get Book

An Introduction to the Theory of Piezoelectricity by Jiashi Yang Pdf

This textbook introduces theoretical piezoelectricity. The second edition updates a classical, seminal reference on a fundamental topic that is addressed in every materials science curriculum. It presents a concise treatment of the basic theoretical aspects of continuum modeling of electroelastic interactions in solids. The general nonlinear theory for large deformations and strong fields is established and specialized to the linear theory for small deformations and weak fields, i.e., the theory of piezoelectricity. Relatively simple and useful solutions of many static and dynamic problems of piezoelectricity that are useful in device applications are given. Emphasis is on the formulation of solutions to problems rather than advanced mathematical solution techniques. This book includes many examples to assist and enhance students’ understanding of piezoelectricity and piezoelastics.

Author : Nellya N. Rogacheva
Publisher : CRC Press
Page : 272 pages
File Size : 53,5 Mb
Release : 2020-09-10
Category : Technology & Engineering
ISBN : 9781000102994

Get Book

The Theory of Piezoelectric Shells and Plates by Nellya N. Rogacheva Pdf

This is the first book devoted to a systematic description of the linear theory of piezoelectric shells and plates theory. The book contains two parts. In the first part, the theories for electroelastic thin-walled elements of arbitrary form with different directions of preliminary polarization are presented in an easy form for practical use. The approximate methods for integrating the equations of piezoelectric shells and plates are developed and applied for solving some engineering problems. In the second part, the theory of piezoelectric shells and plates is substantiated by the asymptotic method. The area of applicability for different kinds of electroelastic shell theories is studied. A new problem concerning the electroelastic phenomena at the edge of a thin-walled element is raised and solved. The Theory of Piezoelectric Shells and Plates will be valuable to researchers working in the field of electroelasticity as well as to electrical and electronic engineers who use thin-walled piezoelements. It is also be helpful for students and post-graduates specializing in mechanics and for scientists concerning asymptotic methods.

Author : Anonim
Publisher : Unknown
Page : 520 pages
File Size : 53,9 Mb
Release : 1972
Category : Mechanics, Applied
ISBN : UCAL:C2682436

Get Book

Applied Mechanics Reviews by Anonim Pdf

Author : Jiashi Yang
Publisher : Springer Science & Business Media
Page : 310 pages
File Size : 52,7 Mb
Release : 2006-06-14
Category : Technology & Engineering
ISBN : 9780387235462

Get Book

An Introduction to the Theory of Piezoelectricity by Jiashi Yang Pdf

This book is based on lecture notes for a graduate course that has been offered at University of Nebraska-Lincoln on and off since 1998. The course is intended to provide graduate students with the basic aspects of the continuum modeling of electroelastic interactions in solids. A concise treatment of linear, nonlinear, static and dynamic theories and problems is presented. The emphasis is on formulation and understanding of problems useful in device applications rather than solution techniques of mathematical problems. The mathematics used in the book is minimal. The book is suitable for a one-semester graduate course on electroelasticity. It can also be used as a reference for researchers. I would like to take this opportunity to thank UNL for a Maude Hammond Fling Faculty Research Fellowship in 2003 for the preparation of the first draft of this book. I also wish to thank Ms. Deborah Derrick of the College of Engineering and Technology at UNL for editing assistance with the book, and Professor David Y. Gao of Virginia Polytechnic Institute and State University for recommending this book to Kluwer for publication in the series of Advances in Mechanics and Mathematics. JSY Lincoln, Nebraska 2004 Preface Electroelastic materials exhibit electromechanical coupling. They experience mechanical deformations when placed in an electric field, and become electrically polarized under mechanical loads. Strictly speaking, piezoelectricity refers to linear electromechanical couplings only.

Author : Holm Altenbach,Arkadi Berezovski,Francesco dell'Isola,Alexey Porubov
Publisher : Springer Nature
Page : 781 pages
File Size : 42,6 Mb
Release : 2023-02-13
Category : Science
ISBN : 9783031261862

Get Book

Sixty Shades of Generalized Continua by Holm Altenbach,Arkadi Berezovski,Francesco dell'Isola,Alexey Porubov Pdf

In this book, well-known scientists discuss modern aspects of generalized continua, in order to better understand modern materials and advanced structures. They possess complicated internal structure, and it requires the development of new approaches to model such structures and new effects caused by it. This book combines fundamental contributions in honor of Victor Eremeyev and his 60th birthday.

Author : J.S. Yang,Gérard A. Maugin
Publisher : Springer Science & Business Media
Page : 289 pages
File Size : 49,7 Mb
Release : 2013-12-01
Category : Science
ISBN : 9781461302438

Get Book

Mechanics of Electromagnetic Solids by J.S. Yang,Gérard A. Maugin Pdf

The mechanics of electromagnetic materials and structures has been developing rapidly with extensive applications in, e. g. , electronics industry, nuclear engineering, and smart materials and structures. Researchers in this interdisciplinary field are with diverse background and motivation. The Symposium on the Mechanics of Electromagnetic Materials and Structures of the Fourth International Conference on Nonlinear Mechanics in Shanghai, China in August 13-16, 2002 provided an opportunity for an intimate gathering of researchers and exchange of ideas. This volume contains papers based on most of the presentations at the symposium, and articles from a few invited contributors. These papers reflect some of the recent activities in the mechanics of electromagnetic materials and structures. The first twelve papers are in the order in which they were listed in the program of the conference. These are followed by six invited papers in alphabetical order of the last names of the first authors. We would like to extend our sincere thanks to Professor David Y. Gao of Virginia Tech for suggesting the symposium, and to the authors for their time and effort invested in preparing their manuscripts. We are also grateful to Professor Daining Fang of Tsinghua University for co-chairing the symposium with J. S. Yang. Our special thanks belong to Kluwer for preparing this book for publication. J. S. Yang G. A. Maugin PIEZOELECTRIC VIBRATORY GYROSCOPES J. S.

Author : José Merodio,Raymond Ogden
Publisher : Springer Nature
Page : 397 pages
File Size : 50,7 Mb
Release : 2019-11-14
Category : Science
ISBN : 9783030315474

Get Book

Constitutive Modelling of Solid Continua by José Merodio,Raymond Ogden Pdf

This volume consists of a collection of chapters by recognized experts to provide a comprehensive fundamental theoretical continuum treatment of constitutive laws used for modelling the mechanical and coupled-field properties of various types of solid materials. It covers the main types of solid material behaviour, including isotropic and anisotropic nonlinear elasticity, implicit theories, viscoelasticity, plasticity, electro- and magneto-mechanical interactions, growth, damage, thermomechanics, poroelasticity, composites and homogenization. The volume provides a general framework for research in a wide range of applications involving the deformation of solid materials. It will be of considerable benefit to both established and early career researchers concerned with fundamental theory in solid mechanics and its applications by collecting diverse material in a single volume. The readership ranges from beginning graduate students to senior researchers in academia and industry.

Author : Volodymyr Govorukha,Marc Kamlah,Volodymyr Loboda,Yuri Lapusta
Publisher : Springer
Page : 235 pages
File Size : 50,7 Mb
Release : 2017-03-14
Category : Science
ISBN : 9783319535531

Get Book

Fracture Mechanics of Piezoelectric Solids with Interface Cracks by Volodymyr Govorukha,Marc Kamlah,Volodymyr Loboda,Yuri Lapusta Pdf

This book provides a comprehensive study of cracks situated at the interface of two piezoelectric materials. It discusses different electric boundary conditions along the crack faces, in particular the cases of electrically permeable, impermeable, partially permeable, and conducting cracks. The book also elaborates on a new technique for the determination of electromechanical fields at the tips of interface cracks in finite sized piezoceramic bodies of arbitrary shape under different load types. It solves scientific problems of solid mechanics in connection with the investigation of electromechanical fields in piezoceramic bodies with interface cracks, and develops calculation models and solution methods for plane fracture mechanical problems for piecewise homogeneous piezoceramic bodies with cracks at the interfaces. It discusses the “open” crack model, which leads to a physically unrealistic oscillating singularity at the crack tips, and the contact zone model for in-plane straight interface cracks between two dissimilar piezoelectric materials. It also investigates the model of a crack with electro-mechanical pre-fracture zones. The formulated problems are reduced to problems of linear relationship, which correspond to different crack models, and their exact analytical solutions are found. The book presents in detail the expressions for stress and electric displacement intensity factors, as well as for the energy release rate. The influence of the electric permittivity of the crack, the mechanical load and the electric field upon the electro-elastic state, as well as the main fracture mechanical parameters, are analyzed and clearly illustrated. This book addresses postgraduate students, university teachers and researchers dealing with the problems of fracture mechanics of piezoelectric materials, as well as engineers who are active in the analysis of strength and durability of piezoelectric constructions.

Author : Reinhold Kienzler,Holm Altenbach,Ingrid Ott
Publisher : Springer Science & Business Media
Page : 258 pages
File Size : 46,9 Mb
Release : 2013-06-01
Category : Science
ISBN : 9783540399056

Get Book

Theories of Plates and Shells by Reinhold Kienzler,Holm Altenbach,Ingrid Ott Pdf

Plate and shell theories experienced a renaissance in recent years. The potentials of smart materials, the challenges of adaptive structures, the demands of thin-film technologies and more on the one hand and the availability of newly developed mathematical tools, the tremendous increase in computer facilities and the improvement of commercial software packages on the other caused a reanimation of the scientific interest. In the present book the contributions of the participants of the EUROMECH Colloquium 444 "Critical Review of the Theories of Plates and Shells and New Applications" have been collected. The aim was to discuss the common roots of different plate and shell approaches, to review the current state of the art, and to develop future lines of research. Contributions were written by scientists with civil and mechanical engineering as well as mathematical and physical background.

Author : Anonim
Publisher : World Scientific
Page : 682 pages
File Size : 44,5 Mb
Release : 1996
Category : Continuum mechanics
ISBN : 9789814531481

Get Book

Proceedings of the Eighth International Symposium on Continuum Models and Discrete Systems by Anonim Pdf

Author : Holm Altenbach,Joël Pouget,Martine Rousseau,Bernard Collet,Thomas Michelitsch
Publisher : Springer
Page : 760 pages
File Size : 44,6 Mb
Release : 2018-03-24
Category : Science
ISBN : 9783319724409

Get Book

Generalized Models and Non-classical Approaches in Complex Materials 1 by Holm Altenbach,Joël Pouget,Martine Rousseau,Bernard Collet,Thomas Michelitsch Pdf

This book is the first of 2 special volumes dedicated to the memory of Gérard Maugin. Including 40 papers that reflect his vast field of scientific activity, the contributions discuss non-standard methods (generalized model) to demonstrate the wide range of subjects that were covered by this exceptional scientific leader. The topics range from micromechanical basics to engineering applications, focusing on new models and applications of well-known models to new problems. They include micro–macro aspects, computational endeavors, options for identifying constitutive equations, and old problems with incorrect or non-satisfying solutions based on the classical continua assumptions.