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Asymptotic Analysis of Spatial Problems in Elasticity, Magomed F. Mekhtiev


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Автор: Magomed F. Mekhtiev
Название:  Asymptotic Analysis of Spatial Problems in Elasticity
ISBN: 9789811330612
Издательство: Springer
Классификация:


ISBN-10: 9811330611
Обложка/Формат: Hardcover
Страницы: 241
Вес: 0.54 кг.
Дата издания: 2019
Серия: Advanced Structured Materials
Язык: English
Издание: 1st ed. 2019
Иллюстрации: 20 tables, color; 16 illustrations, black and white; vi, 241 p. 16 illus.
Размер: 234 x 156 x 16
Читательская аудитория: Professional & vocational
Основная тема: Engineering
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: The book presents homogeneous solutions in static and dynamical problems of anisotropic theory of elasticity, which are constructed for a hollow cylinder. It also offers an asymptotic process for finding frequencies of natural vibrations of a hollow cylinder, and establishes a qualitative study of several applied theories of the boundaries of applicability.Further the authors develop a general theory for a transversally isotropic spherical shell, which includes methods for constructing inhomogeneous and homogeneous solutions that allow the characteristic features of the stress–strain state of an anisotropic spherical shell to be revealed. Lastly, the book introduces an asymptotic method for integrating the equations of anisotropic theory of elasticity in variable thickness plates and shells. Based on the results of the author and researchers at Baku State University and the Institute of Mathematics and Mechanics, ANAS, the book is intended for specialists in the field of theory of elasticity, theory of plates and shells, and applied mathematics.
Дополнительное описание: 1 Asymptotic Theory Of A Cylindrical Shell.- 2 Constructing Homogeneous Solutions To A Transversallyisotropic Spherical Shell.- 3 Constructing Homogeneous Solutions For A Truncated Hollow Cone.- 4 Asymptotic Behavior Of The Solution To An Axially Symmetri


Elasticity

Автор: J. R. Barber
Название: Elasticity
ISBN: 9048138086 ISBN-13(EAN): 9789048138081
Издательство: Springer
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Цена: 102480.00 T
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Описание: Expanded and fully updated, this third edition provides an overview of linear elasticity, with an emphasis on engineering applications. New topics include complex variable methods, variational methods, and three-dimensional plate and beam solutions.

Integrodifferential Relations in Linear Elasticity

Автор: Georgy V. Kostin, Vasily V. Saurin
Название: Integrodifferential Relations in Linear Elasticity
ISBN: 3110270307 ISBN-13(EAN): 9783110270303
Издательство: Walter de Gruyter
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Цена: 185890.00 T
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Описание: This work treats the elasticity of deformed bodies, including the resulting interior stresses and displacements.It also takes into account that some of constitutive relations can be considered in a weak form.

Boundary Value Problems of Finite Elasticity

Автор: Tullio Valent
Название: Boundary Value Problems of Finite Elasticity
ISBN: 1461283264 ISBN-13(EAN): 9781461283263
Издательство: Springer
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Цена: 95770.00 T
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Описание: In this book I present, in a systematic form, some local theorems on existence, uniqueness, and analytic dependence on the load, which I have recently obtained for some types of boundary value problems of finite elasticity.

Singularities in Elliptic Boundary Value Problems and Elasticity and Their Connection with Failure Initiation

Автор: Zohar Yosibash
Название: Singularities in Elliptic Boundary Value Problems and Elasticity and Their Connection with Failure Initiation
ISBN: 1489995102 ISBN-13(EAN): 9781489995100
Издательство: Springer
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Цена: 144410.00 T
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Описание: This important, pragmatic and timely book on the mathematical models of damage and flow tolerance is written by a recognized expert in the field. It will appeal to both mathematicians who are interested in the regularity of elliptic boundary value problems and to engineers interested in the study of fractions and fatigue of materials.

Asymptotic Nonparametric Statistical Analysis of Stationary Time Series

Автор: Daniil Ryabko
Название: Asymptotic Nonparametric Statistical Analysis of Stationary Time Series
ISBN: 3030125637 ISBN-13(EAN): 9783030125639
Издательство: Springer
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Цена: 46570.00 T
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Описание: Stationarity is a very general, qualitative assumption, that can be assessed on the basis of application specifics. It is thus a rather attractive assumption to base statistical analysis on, especially for problems for which less general qualitative assumptions, such as independence or finite memory, clearly fail. However, it has long been considered too general to be able to make statistical inference. One of the reasons for this is that rates of convergence, even of frequencies to the mean, are not available under this assumption alone. Recently, it has been shown that, while some natural and simple problems, such as homogeneity, are indeed provably impossible to solve if one only assumes that the data is stationary (or stationary ergodic), many others can be solved with rather simple and intuitive algorithms. The latter include clustering and change point estimation among others. In this volume I summarize these results. The emphasis is on asymptotic consistency, since this the strongest property one can obtain assuming stationarity alone. While for most of the problem for which a solution is found this solution is algorithmically realizable, the main objective in this area of research, the objective which is only partially attained, is to understand what is possible and what is not possible to do for stationary time series. The considered problems include homogeneity testing (the so-called two sample problem), clustering with respect to distribution, clustering with respect to independence, change point estimation, identity testing, and the general problem of composite hypotheses testing. For the latter problem, a topological criterion for the existence of a consistent test is presented. In addition, a number of open problems is presented.

The Optimal Homotopy Asymptotic Method

Автор: Vasile Marinca; Nicolae Herisanu
Название: The Optimal Homotopy Asymptotic Method
ISBN: 331936183X ISBN-13(EAN): 9783319361833
Издательство: Springer
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Цена: 113180.00 T
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Описание: The first chapter is introductory while the second chapter is devoted to a short history of the development of homotopy methods, including the basic ideas of the Optimal Homotopy Asymptotic Method.

Treatise on Classical Elasticity

Автор: Petre P. Teodorescu
Название: Treatise on Classical Elasticity
ISBN: 9400793391 ISBN-13(EAN): 9789400793392
Издательство: Springer
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Цена: 217670.00 T
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Описание: Covering classical elasticity theory in an encyclopaedic fashion, this work has been written by one of the world`s leading authorities in the field and reflects the particularly complex character of deformable solids, where computer modeling is rarely simple.

Introduction To Elasticity Theory For Crystal Defects (Second Edition)

Автор: Balluffi Robert W
Название: Introduction To Elasticity Theory For Crystal Defects (Second Edition)
ISBN: 9814749729 ISBN-13(EAN): 9789814749725
Издательство: World Scientific Publishing
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Цена: 59130.00 T
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Описание: The book presents a unified and self-sufficient and reader-friendly introduction to the anisotropic elasticity theory necessary to model a wide range of point, line, planar and volume type crystal defects (e.g., vacancies, dislocations, interfaces, inhomogeneities and inclusions).

Continuum Mechanics and Linear Elasticity

Автор: Ciprian D. Coman
Название: Continuum Mechanics and Linear Elasticity
ISBN: 9402417699 ISBN-13(EAN): 9789402417692
Издательство: Springer
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Цена: 93160.00 T
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Описание:

This is an intermediate book for beginning postgraduate students and junior researchers, and offers up-to-date content on both continuum mechanics and elasticity. The material is self-contained and should provide readers sufficient working knowledge in both areas. Though the focus is primarily on vector and tensor calculus (the so-called coordinate-free approach), the more traditional index notation is used whenever it is deemed more sensible.
With the increasing demand for continuum modeling in such diverse areas as mathematical biology and geology, it is imperative to have various approaches to continuum mechanics and elasticity. This book presents these subjects from an applied mathematics perspective. In particular, it extensively uses linear algebra and vector calculus to develop the fundamentals of both subjects in a way that requires minimal use of coordinates (so that beginning graduate students and junior researchers come to appreciate the power of the tensor notation).

Applied Asymptotic Methods in Nonlinear Oscillations

Автор: Yuri A. Mitropolsky; Nguyen Van Dao
Название: Applied Asymptotic Methods in Nonlinear Oscillations
ISBN: 9048148650 ISBN-13(EAN): 9789048148653
Издательство: Springer
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Цена: 204040.00 T
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Описание: Many dynamical systems are described by differential equations that can be separated into one part, containing linear terms with constant coefficients, and a second part, relatively small compared with the first, containing nonlinear terms. A weakly nonlinear system is called quasi-linear and is governed by quasi-linear differential equations.


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