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Author: Anatoliy Malyarenko Publisher: Springer Nature ISBN: 3030600645 Category : Mathematics Languages : en Pages : 106
Book Description
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.
Author: Anatoliy Malyarenko Publisher: Springer Nature ISBN: 3030600645 Category : Mathematics Languages : en Pages : 106
Book Description
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.
Author: C. Rosen Publisher: Springer Science & Business Media ISBN: 9780883186473 Category : Technology & Engineering Languages : en Pages : 558
Book Description
This collection of 32 major review papers provides a complete understanding of the physics of piezoelectricity. With a thorough overview of applications and a major section exploring measurements and standards, this volume gives a systematic derivation of piezoelectric coefficients and equations of state for coupling mechanical, electrical, and thermal fields. A useful graduate text for design engineers, materials scientists, chemists, metallurgists, and condensed matter physicists.
Author: L. Angela Mihai Publisher: Springer Nature ISBN: 3031066928 Category : Mathematics Languages : en Pages : 283
Book Description
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.
Author: Jiashi Yang Publisher: Springer Science & Business Media ISBN: 0387235469 Category : Technology & Engineering Languages : en Pages : 310
Book Description
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: Qinghua Qin Publisher: Springer Science & Business Media ISBN: 3642297676 Category : Technology & Engineering Languages : en Pages : 339
Book Description
"Advanced Mechanics of Piezoelectricity" presents a comprehensive treatment of piezoelectric materials using linear electroelastic theory, symplectic models, and Hamiltonian systems. It summarizes the current state of practice and presents the most recent research findings in piezoelectricity. It is intended for researchers and graduate students in the fields of applied mechanics, material science and engineering, computational engineering, and aerospace engineering. Dr. Qinghua Qin is a professor at the School of Engineering, Australian National University, Australia.
Author: Jiashi Yang Publisher: Springer Science & Business Media ISBN: 0387894985 Category : Mathematics Languages : en Pages : 340
Book Description
Piezoelectricity has been a steadily growing field, with recent advances made by researchers from applied physics, acoustics, materials science, and engineering. This collective work presents a comprehensive treatment of selected advanced topics in the subject. The book is written for an intermediate graduate level and is intended for researchers, mechanical engineers, and applied mathematicians interested in the advances and new applications in piezoelectricity.
Author: Sumaanyu Maheshwari Publisher: GRIN Verlag ISBN: 3668595232 Category : Science Languages : en Pages : 30
Book Description
Academic Paper from the year 2017 in the subject Physics - Applied physics, grade: A, , course: Physics 212, language: English, abstract: Throughout our daily lives, humans waste a lot of energy. We exert a force on the ground while we walk, while we are driving, and during our many other daily tasks. Now the question is, how do we harness this energy? Our answer is with the use of Piezoelectric materials. Research and the creation of this project was to figure out how Piezoelectricity works and how to utilize it in everyday life. We decided that creating a piece of a highway would give us the most amount of energy. The equations, pictures, and other information was accumulated through different scholarly sources found on the internet and cited at the end. We used this information to help us understand and model what power output we could get from changing a section of a highway to include Piezoelectric material.
Author: Rafael Vargas-Bernal Publisher: BoD – Books on Demand ISBN: 1837683964 Category : Science Languages : en Pages : 168
Book Description
Piezoelectric and thermoelectric materials represent emerging cutting-edge technological materials for energy harvesting for high-value-added applications. Although these materials have been exhaustively exploited for decades, researchers around the world continue to find technological and scientific innovations that must be disseminated to the engineers of yesterday, today, and tomorrow. Piezoelectric materials, through mechanical stresses applied to them, are capable of generating electricity, while thermoelectric materials are capable of producing electricity thanks to the heat applied to them. Therefore, the direct application of these materials is in energy harvesting, which, together with the reduction of materials, leads them to portable and wearable functional applications. The purpose of this work is to disseminate some of the latest scientific and technological advances by different researchers around the world in the development of devices and applications based on these materials. The book compiles state-of-the-art fundamentals, current uses, as well as emerging applications of piezoelectric and thermoelectric materials. It is a source of inspiration for continued scientific research on the commercial, industrial, and military applications of these materials. Furthermore, it is a valuable and informative resource for undergraduate and graduate students, as well as experts and researchers in the field.
Author: Anatoliy Malyarenko
Author: Anatoliy Malyarenko
Author: François Willot
Author: C. Rosen
Author: L. Angela Mihai
Author: Jiashi Yang
Author: Qinghua Qin
Author: Jiashi Yang
Author: Carmen Galassi
Author: Sumaanyu Maheshwari
Author: Rafael Vargas-Bernal