Constitutive Equations of Nonlinear Electromagnetic-Elastic Crystals, E. Kiral; A.Cemal Eringen
Автор: H.H.E. Leipholz Название: Stability of Elastic Structures ISBN: 3211814736 ISBN-13(EAN): 9783211814734 Издательство: Springer Рейтинг: Цена: 12157.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This self-contained book is devoted to the study of the acoustic wave equations and the Maxwell system, the two most common waves equations that are encountered in physics or in engineering. It presents a detailed analysis of their mathematical and physical properties. In particular, the author focuses on the study of the harmonic exterior problems, building a mathematical framework which provides the existence and uniqueness of the solutions. Acoustic and electromagnetic waves underlie a vast range of modern technology from sonar, radio, and television to microwave heating and electromagnetic compatibility analysis. Mathematical modeling of these waves has undergone considerable growth in recent years, and this timely book, written by a leading international researcher, presents the research in a careful and complete way.
Автор: Jean-Claude Nedelec Название: Acoustic and Electromagnetic Equations ISBN: 1441928898 ISBN-13(EAN): 9781441928894 Издательство: Springer Рейтинг: Цена: 12012.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book is devoted to the study of the acoustic wave equation and of the Maxwell system, the two most common wave equations encountered in physics or in engineering. The main goal is to present a detailed analysis of their mathematical and physical properties. Wave equations are time dependent. However, use of the Fourier trans- form reduces their study to that of harmonic systems: the harmonic Helmholtz equation, in the case of the acoustic equation, or the har- monic Maxwell system. This book concentrates on the study of these harmonic problems, which are a first step toward the study of more general time-dependent problems. In each case, we give a mathematical setting that allows us to prove existence and uniqueness theorems. We have systematically chosen the use of variational formulations related to considerations of physical energy. We study the integral representations of the solutions. These representa- tions yield several integral equations. We analyze their essential properties. We introduce variational formulations for these integral equations, which are the basis of most numerical approximations. Different parts of this book were taught for at least ten years by the author at the post-graduate level at Ecole Poly technique and the University of Paris 6, to students in applied mathematics. The actual presentation has been tested on them. I wish to thank them for their active and constructive participation, which has been extremely useful, and I apologize for forcing them to learn some geometry of surfaces.
Автор: David R. Axelrad; Wolfgang Muschik Название: Constitutive Laws and Microstructure ISBN: 3642833055 ISBN-13(EAN): 9783642833052 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: A special survey of the extensive field of Constitutive Laws is given in 11 lectures, divided into three parts: Thermodynamics of Materials, Stochastic Processes and Material Behaviour, Constitutive Relations for Simple Fluids and Microphysics of Solids.
Описание: Proceedings of the International Conference on Numerical Methods in Engineering: Theory and Applications, NUMETA `87, 6-10 July, 1987; Volume 2
Автор: N.A. Alfutov; V. Balmont; E. Evseev Название: Stability of Elastic Structures ISBN: 3642084982 ISBN-13(EAN): 9783642084980 Издательство: Springer Рейтинг: Цена: 30606.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The author has an apprehension that problems which, though interesting, are limited in application can divert the reader`s attention from the more prosaic but no less sophisticated general problems of stability theory.
Описание: Proceedings of the International Conference on Numerical Methods in Engineering: Theory and Applications, NUMETA `87, 6-10 July, 1987; Volume 2
Автор: Cristian Teodosiu Название: Elastic Models of Crystal Defects ISBN: 354011226X ISBN-13(EAN): 9783540112266 Издательство: Springer Рейтинг: Цена: 13060.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: for the computation of the elastic states of dislocation loops by means of straight dislocation data. Chapter III presents the main results obtained so far in describing non-linear effects in the elastic field of straight dislocations, as well as in the study of the core configuration of dislocations by using semidiscrete methods. Chapter IV is devoted to the linear and non-linear theory of continuous distri- butions of dislocations and to its application to investigating the influence of dislo- cations on crystal density and on the low-temperature thermal conductivity of crystals. Chapter V deals with the modelling of point defects as rigid or elastic inclusions l in an elastic matrix, or as force nultipoles. Finally, some of the results Q)ailable on the interactions between point defects and other crystal defects are briefly reviewed. Although the material in the text covers mainly the mathematical theory of crystal defects, the author has been constantly concerned with emphasizing the phYSical significance of the results and some of their possible applications. The reader can easily enlarge his information in these directions by reference to the stan- dard books on crystal defects by Cottrell {84J, Read {275J, Friedel 124J, Kroner 190J, van Bueren {365J, Indenbom {167J, Nabarro {258J, Hirth and Lathe 162J, or to the review articles by Seeger 286 J, Eshelby {Ill J, de Wit 385 J, and Bullough 50].
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