Theory of Electroelasticity

  • Filename: theory-of-electroelasticity.
  • ISBN: 9783642362910
  • Release Date: 2013-08-04
  • Number of pages: 431
  • Author: Zhen-Bang Kuang
  • Publisher: Springer Science & Business Media



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.

Nonlinear Theory of Electroelastic and Magnetoelastic Interactions

  • Filename: nonlinear-theory-of-electroelastic-and-magnetoelastic-interactions.
  • ISBN: 9781461495963
  • Release Date: 2014-02-06
  • Number of pages: 313
  • Author: Luis Dorfmann
  • Publisher: Springer Science & Business Media



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.

An Introduction to the Theory of Piezoelectricity

  • Filename: an-introduction-to-the-theory-of-piezoelectricity.
  • ISBN: 9780387235462
  • Release Date: 2006-06-14
  • Number of pages: 300
  • Author: Jiashi Yang
  • Publisher: Springer Science & Business Media



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.

The Theory of Piezoelectric Shells and Plates

  • Filename: the-theory-of-piezoelectric-shells-and-plates.
  • ISBN: 084934459X
  • Release Date: 1994-03-28
  • Number of pages: 272
  • Author: Nellya N. Rogacheva
  • Publisher: CRC Press



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.

Mathematical Methods in Electro Magneto Elasticity

  • Filename: mathematical-methods-in-electro-magneto-elasticity.
  • ISBN: 9783540710318
  • Release Date: 2007-05-19
  • Number of pages: 530
  • Author: Demosthenis I. Bardzokas
  • Publisher: Springer Science & Business Media



The mechanics of Coupled Fields is a discipline at the edge of modern research connecting Continuum Mechanics with Solid State Physics. This book fills many gaps in the theoretical literature which arise due to the complexity of the problem. A vast number of problems are considered so that the reader can get a clear quantitative and qualitative understanding of the phenomena taking place.

Effect of Mechanical and Electrical Biasing Fields on Thickness Mode Langasite Resonators

  • Filename: effect-of-mechanical-and-electrical-biasing-fields-on-thickness-mode-langasite-resonators.
  • ISBN: 0549150749
  • Release Date: 2007
  • Number of pages: 146
  • Author: Haifeng Zhang
  • Publisher: ProQuest



Piezoelectric resonators are critical devices for the modern electronics industry. For many applications, these resonators are influenced by biasing fields, with mechanical and electrical biasing fields among the most important ones. The reason the character of a resonator changes under a biasing field is primarily due to the inherent nonlinear material properties of the piezoelectric material. Among commonly used piezoelectric materials for resonators, langasite single crystals are very new and promising. They combine many of the advantages of quartz and lithium niobate---having high electromechanical coupling, as well as good frequency-temperature characteristics. Thus, langasite is a potential material to substitute for current applications dominated by quartz.

Novel Approaches in Civil Engineering

  • Filename: novel-approaches-in-civil-engineering.
  • ISBN: 3540418369
  • Release Date: 2003-11-19
  • Number of pages: 400
  • Author: Michel Fremond
  • Publisher: Springer Science & Business Media



In this edited book various novel approaches to problems of current interest in civil engineering are demonstrated. The topics range from dynamic band seismic problems to the analysis of long-span structures and ancient buildings. Experts associated within the Lagrange Laboratory present recent research results on functionally-graded or composite materials, granular materials, geotechnics, as well as frictional or adhesive contact problems.

Smart Materials and Structures

  • Filename: smart-materials-and-structures.
  • ISBN: 1600211070
  • Release Date: 2007
  • Number of pages: 292
  • Author: Peter L. Reece
  • Publisher: Nova Publishers



Smart materials respond to environmental stimuli with particular changes in some variables. For that reason they are often also called responsive materials. Depending on changes in some external conditions, smart materials change either their properties (mechanical, electrical, appearance), their structure or composition, or their functions. Mostly, smart materials are embedded in systems whose inherent properties can be favourably changed to meet performance needs.Smart materials and structures have widespread applications in: Materials science - composites, ceramics, processing science, interface science, sensor/actuator materials, chiral materials, conducting and chiral polymers, electro chromic materials, liquid crystals, molecular-level smart materials, biomaterials; Sensing and actuation - electromagnetic, acoustic, chemical and mechanical sensing and actuation, single-measurand sensors, multiplexed multimeasurand distributed sensors and actuators, sensor/actuator signal processing, compatibility of sensors and actuators with conventional and advanced materials, smart sensors for materials and composites processing; and Optics and electro magnetics - optical fibre techn

Dynamic Localization Phenomena in Elasticity Acoustics and Electromagnetism

  • Filename: dynamic-localization-phenomena-in-elasticity-acoustics-and-electromagnetism.
  • ISBN: 9783709116197
  • Release Date: 2013-09-05
  • Number of pages: 256
  • Author: Richard Craster
  • Publisher: Springer Science & Business Media



Properties of wave localization play a decisive role both in applications of engineered microstructures and in the detection of cracks and flaws. The papers in this volume give an introduction into a variety of interrelated dynamic localization phenomena occurring in elasticity, acoustics and electromagnetism. In particular, these involve surface and edge waves and also trapped modes localized near defects, shape changes and the edges of elongated waveguides. The effects of layering, prestress, anisotropy, periodic microstructures as well as various multi-field phenomena are addressed with reference to underlying industrial problems. The essential and up-to-date numerical, asymptotic, and analytical techniques are covered as well as relevant continuum theories that are required to make progress in, and understand wave localization and allied effects. A major focus is on a qualitative physical insight into the mechanisms of dynamic localization.

IUTAM Symposium on Hamiltonian Dynamics Vortex Structures Turbulence

  • Filename: iutam-symposium-on-hamiltonian-dynamics-vortex-structures-turbulence.
  • ISBN: 9781402067440
  • Release Date: 2007-12-22
  • Number of pages: 501
  • Author: Alexey V. Borisov
  • Publisher: Springer Science & Business Media



This work brings together previously unpublished notes contributed by participants of the IUTAM Symposium on Hamiltonian Dynamics, Vortex Structures, Turbulence (Moscow, 25-30 August 2006). The study of vortex motion is of great interest to fluid and gas dynamics: since all real flows are vortical in nature, applications of the vortex theory are extremely diverse, many of them (e.g. aircraft dynamics, atmospheric and ocean phenomena) being especially important.

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