Topics in Finite Elasticity, Hayes Michael, Saccomandi Giuseppe
Название: Symplectic elasticity ISBN: 9812778705 ISBN-13(EAN): 9789812778703 Издательство: World Scientific Publishing Рейтинг: Цена: 17535 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Solid mechanics problems have long been regarded as bottlenecks in the development of elasticity. In contrast to traditional solution methodologies, such as
Timoshenko's theory of elasticity for which the main technique is the semi-inverse method, this book presents a new approach based on the Hamiltonian principle and the symplectic
duality system where solutions are derived in a rational manner in the symplectic space. Departing from the conventional Euclidean space with one kind of variable, the symplectic
space with dual variables thus provides a fundamental breakthrough.This book explains the new solution methodology by discussing plane isotropic elasticity, multiple layered plate,
anisotropic elasticity, sectorial plate and thin plate bending problems in some detail.
A number of existing problems without analytical solutions within the framework of classical
approaches are solved analytically using this symplectic approach. Symplectic methodologies can be applied not only to problems in elasticity, but also to other solid mechanics
problems. In addition, it can
also be extended to various engineering mechanics and mathematical physics fields, such as vibration, wave propagation, control theory, electromagnetism and quantum
mechanics.
Автор: Edited by Y. B. Fu Название: Nonlinear Elasticity ISBN: 0521796954 ISBN-13(EAN): 9780521796958 Издательство: Cambridge Academ Рейтинг: Цена: 10664 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Nonlinear elasticity is concerned with nonlinear effects associated with deformations of elastic bodies subjected to external forces or temperature variations. It has important applications in many areas, including the aerospace and rubber industries, and biomechanics. This book, written by a group of leading researchers invited especially for the purpose, provides an up-to-date and concise account of the fundamentals of the theory of nonlinear elasticity and a comprehensive review of several major current research directions in this important field. It combines the characteristics of coherence and detail found in standard treatises with the strength and freshness of research articles. The emphasis is placed firmly on coverage of modern topics and recent developments rather than on the very theoretical approach often found. The book will be an excellent reference source for both beginners and specialists in engineering, applied mathematics and physics. It is also ideally suited for graduate courses.
Автор: Kachanov M., Shafiro B., Tsukrov I. Название: Handbook of Elasticity Solutions ISBN: 1402014724 ISBN-13(EAN): 9781402014727 Издательство: Springer Цена: 14843 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This Handbook is intended as a desk reference for researchers, students and engineers working in various areas of solid mechanics and quantitative materials science. It contains a broad range of elasticity solutions. In particular, it covers the following topics: -Basic equations in various coordinate systems, -Green's functions for isotropic and anisotropic solids, -Cracks in two- and three-dimensional solids, -Eshelby's problems and related results, -Stress concentrations at inhomogeneities, -Contact problems, -Thermoelasticity. The solutions have been collected from a large number of monographs and research articles. Some of the presented results were obtained only recently and are not easily available. All solutions have been thoroughly checked and transformed to a userfriendly form.
Автор: Lurie Название: Theory of Elasticity ISBN: 3540245561 ISBN-13(EAN): 9783540245568 Издательство: Springer Цена: 34007 р. Наличие на складе: Нет в наличии.
Описание: This invaluable treatise belongs to the cultural heritage of mechanics. It is an encyclopaedia of the classic and analytic approaches of continuum mechanics and of many domains of natural science. The book is unique also because an impressive number of methods and approaches it displays have been worked out by the author himself. In particular, this implies a full consistency of notation, ideas and mathematical apparatus which results in a unified approach to a broad class of problems. The book is of great interest for engineers who will find a lot of analytical formulae for very different problems covering nearly all aspects of the elastic behavior of materials. In particular, it fills the gap between the well-developed numerical methods and sophisticated methods of elasticity theory. It is also intended for researchers and students taking their first steps in continuum mechanics as it offers a carefully written and logically substantiated basis of both linear and nonlinear continuum mechanics.
Автор: Dyszlewicz Janusz Название: Micropolar Theory of Elasticity ISBN: 3540418350 ISBN-13(EAN): 9783540418351 Издательство: Springer Рейтинг: Цена: 32522 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Author Unknown Название: Three-Dimensional Elasticity,I ISBN: 044481776X ISBN-13(EAN): 9780444817761 Издательство: Elsevier Science Рейтинг: Цена: 8160 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: An introduction to contemporary research in elasticity, this text descibes the two competing mathematical models of three-dimensional elasticity, together with a mathematical analysis of these models. Emphasis is placed on nonlinear aspects.
Автор: L D Landau Название: Theory of Elasticity, ISBN: 075062633X ISBN-13(EAN): 9780750626330 Издательство: Elsevier Science Рейтинг: Цена: 8910 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Covering not only the ordinary theory of the deformation of solids, this book also covers topics such as thermal conduction and viscosity in solids.
Автор: Pablo Pedregal Название: Variational Methods in Nonlinear Elasticity ISBN: 0898714524 ISBN-13(EAN): 9780898714524 Издательство: Eurospan Рейтинг: Цена: 8896 р. Наличие на складе: Нет в наличии.
Описание: In less than 100 pages, this text covers the main vector variational methods developed to solve nonlinear elasticity problems. Presenting a general framework
with a tight focus, the author provides a comprehensive exposition of a technically difficult, yet rapidly developing area of modern applied mathematics. The work includes the classical
existence theory as well as a brief incursion into problems where nonexistence is fundamental.
It also provides self-contained, concise amounts of quasi convexity,
polyconvexity and rank-one convexity, which are used in nonlinear elasticity. Pedregal introduces the reader to Young measures as an important tool in solving vector variational
techniques. Readers are encouraged to pursue nonlinear elasticity as one of the best means to apply these techniques.
Although there are other books devoted to nonlinear
elasticity or variational methods, none are concerned with Young measures as a tool for proving existence results in nonlinear elasticity.
Описание: This book is based on a series of lectures delivered over the years by the author at the University Pierre et Marie Curie in Paris, at the University of Stuttgart, and at City University of Hong Kong. Its two-fold aim is to provide a thorough introduction to the basic theorems of differential geometry and to elasticity in curvilinear coordinates and shell theory. To this end, the fundamental existence and uniqueness theorems are proved in great details. Such theorems include the fundamental theorem of surface theory, which asserts that the Gauss and Codazzi-Mainardi equations are sufficient for the existence of a surface with prescribed fundamental forms, as well as the corresponding rigidity theorem. Recent results, which have not yet appeared in book form are also included, such as the continuity of a surface as a function of its fundamental forms.This book also provides a detailed description of the equations of nonlinear and linearized elasticity in curvilinear coordinates, together with a direct proof of the three-dimensional Korn inequality in curvilinear coordinates. The book also includes a detailed description of Koiter's equations for nonlinearly and linearly elastic shells, a complete analysis of the existence, uniqueness, and regularity of the solutions of Koiter's equations in the linear case.The treatment is essentially self-contained and proofs are complete. In particular, no a priori knowledge of diferential geometry or elasticity theory or shell theory is assumed. Another highlight of this book is the focus on the interplay between "theoretical" and "applied" differential geometry. For instance, rather than being introduced in a formal way, covariant derivatives of a tensor field appear in a natural way in the course of the derivation of the basic boundary value problems of nonlinear elasticity in curvilinear coordinates and of shell theory.
Автор: Barber J.R. Название: Elasticity ISBN: 1402009666 ISBN-13(EAN): 9781402009662 Издательство: Springer Рейтинг: Цена: 12771 р. Наличие на складе: Нет в наличии.
Описание: This is a first year graduate textbook in Linear Elasticity. It is written with the practical engineering reader in mind, dependence on previous knowledge of Solid Mechanics, Continuum Mechanics or Mathematics being minimized. Most of the text should be readily intelligible to a reader with an undergraduate background of one or two courses in elementary Mechanics of Materials and a rudimentary knowledge of partial differentiation. Emphasis is placed on engineering applications of elasticity and examples are generally worked through to final expressions for the stress and displacement fields in order to explore the engineering consequences of the results. The Topics covered were chosen with a view to modern research applications in Fracture Mechanics, Composite Materials, Tribology and Numerical Methods. Thus, significant attention is given to crack and contact problems, problems involving interfaces between dissimilar media, thermo elasticity, singular asymptotic stress fields and three-dimensional problems. This second edition includes new chapters on antiplane stress systems, Saint-Venant torsion and bending and an expanded section on three-dimensional problems in spherical and cylindrical coordinate systems, including axisymmetric torsion of bars of non-uniform circular cross-section. It also includes over 200 end-of-chapter problems, which are expressed wherever possible in the form they would arise in engineering - i.e. as a body of a given geometry subjected to prescribed loading - instead of inviting the student to 'verify' that a given candidate stress function is appropriate to the problem. Solution of these problems is considerably facilitated by the use of modern symbolic mathematical languages such as MapleВ® and MathematicaВ® and electronic files and hints on this method of solution can be accessed at the web site www.elasticity.org.
Автор: Barber J.R. Название: Elasticity ISBN: 140200964X ISBN-13(EAN): 9781402009648 Издательство: Springer Цена: 20783 р. Наличие на складе: Нет в наличии.
Описание: Contains lectures on the physics of hot dense matter, the expected phase transitions and colour superconductivity, various developments in the treatment of nonlinear effects at large parton densities, and fundamental issues in the phenomenology of ultrarelativistic heavy collisions. This book also presents data on heavy ion collisions. Includes chapters on antiplane stress systems, Saint-Venant torsion and bending and an expanded section on three-dimensional problems in spherical and cylindrical coordinate systems, including axisymmetric torsion of bars of non-uniform circular cross-section. This work also includes over 200 end-of-chapter problems.
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