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Mathematical Methods for Elastic Plates, Christian Constanda


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Автор: Christian Constanda
Название:  Mathematical Methods for Elastic Plates
ISBN: 9781447172659
Издательство: Springer
Классификация:




ISBN-10: 1447172655
Обложка/Формат: Paperback
Страницы: 209
Вес: 0.31 кг.
Дата издания: 23.08.2016
Серия: Springer Monographs in Mathematics
Язык: English
Размер: 234 x 156 x 12
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание:

Mathematical models of deformation of elastic plates are used by applied mathematicians and engineers in connection with a wide range of practical applications, from microchip production to the construction of skyscrapers and aircraft. This book employs two important analytic techniques to solve the fundamental boundary value problems for the theory of plates with transverse shear deformation, which offers a more complete picture of the physical process of bending than Kirchhoffs classical one.

The first method transfers the ellipticity of the governing system to the boundary, leading to singular integral equations on the contour of the domain. These equations, established on the basis of the properties of suitable layer potentials, are then solved in spaces of smooth (Holder continuous and Holder continuously differentiable) functions.

The second technique rewrites the differential system in terms of complex variables and fully integrates it, expressing the solution as a combination of complex analytic potentials.

The last chapter develops a generalized Fourier series method closely connected with the structure of the system, which can be used to compute approximate solutions. The numerical results generated as an illustration for the interior Dirichlet problem are accompanied by remarks regarding the efficiency and accuracy of the procedure.

The presentation of the material is detailed and self-contained, making Mathematical Methods for Elastic Plates accessible to researchers and graduate students with a basic knowledge of advanced calculus.




Global Well-posedness and Asymptotic Behavior of the Solutions to Non-classical Thermo(visco)elastic Models

Автор: Qin
Название: Global Well-posedness and Asymptotic Behavior of the Solutions to Non-classical Thermo(visco)elastic Models
ISBN: 9811017131 ISBN-13(EAN): 9789811017131
Издательство: Springer
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Цена: 10760.00 р.
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Описание: This book presents recent findings on the global existence, the uniqueness and the large-time behavior of global solutions of thermo(vis)coelastic systems and related models arising in physics, mechanics and materials science such as thermoviscoelastic systems, thermoelastic systems of types II and III, as well as Timoshenko-type systems with past history. Part of the book is based on the research conducted by the authors and their collaborators in recent years. The book will benefit interested beginners in the field and experts alike.

Stabilization of Elastic Systems by Collocated Feedback

Автор: Ka?s Ammari; Serge Nicaise
Название: Stabilization of Elastic Systems by Collocated Feedback
ISBN: 3319108999 ISBN-13(EAN): 9783319108995
Издательство: Springer
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Цена: 4890.00 р.
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Описание: By introducing a new stabilization methodology, this book characterizes the stability of a certain class of systems.

Questions About Elastic Waves

Автор: J?ri Engelbrecht
Название: Questions About Elastic Waves
ISBN: 3319147900 ISBN-13(EAN): 9783319147901
Издательство: Springer
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Цена: 11878.00 р.
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Описание: Questions About Elastic Waves

Mathematical methods for elastic plates

Автор: Constanda, Christian
Название: Mathematical methods for elastic plates
ISBN: 1447164334 ISBN-13(EAN): 9781447164333
Издательство: Springer
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Цена: 13974.00 р.
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Описание: Mathematical Methods for Elastic Plates

Mathematical Theory of Elastic Structures

Автор: Kang Feng; Zhong-Ci Shi
Название: Mathematical Theory of Elastic Structures
ISBN: 3662032880 ISBN-13(EAN): 9783662032886
Издательство: Springer
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Цена: 6986.00 р.
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Описание: The finite element method, which was independently created and developed in different ways by sci- entists both in China and in the West, is a kind of systematic and modern numerical method for solving partial differential equations, especially el- liptic equations.

The Theory of Anisotropic Elastic Plates

Автор: T.S. Vashakmadze
Название: The Theory of Anisotropic Elastic Plates
ISBN: 9048152151 ISBN-13(EAN): 9789048152155
Издательство: Springer
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Цена: 19564.00 р.
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Описание: The main purpose of this work is construction of the mathematical theory of elastic plates and shells, by means of which the investigation of basic boundary value problems of the spatial theory of elasticity in the case of cylindrical do- mains reduces to the study of two-dimensional boundary value problems (BVP) of comparatively simple structure.

Elastic Multibody Dynamics

Автор: Hartmut Bremer
Название: Elastic Multibody Dynamics
ISBN: 9048179505 ISBN-13(EAN): 9789048179503
Издательство: Springer
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Цена: 15672.00 р.
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Описание: This text introduces and explores many core topics in the field of applied mechanics. On the basis of Lagrange`s Principle, it presents a Central Equation of Dynamics that yields a unified view on existing methods in dynamics.

Questions About Elastic Waves

Автор: J?ri Engelbrecht
Название: Questions About Elastic Waves
ISBN: 3319366998 ISBN-13(EAN): 9783319366999
Издательство: Springer
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Цена: 9781.00 р.
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Описание: 1 Introduction- What is all that about?- 2 What is wave motion.- 3 How to model waves? .- 4 What are internal variables? Arkadi Berezovski answers.- 5 What are evolution equations? . 6 What physical effects are involved? - 7 What physical mechanisms govern waves in non-conservative systems? - 8 What is complexity of waves? - References .- Index.

Diffraction by an Immersed Elastic Wedge

Автор: Jean-Pierre Croisille; Gilles Lebeau
Название: Diffraction by an Immersed Elastic Wedge
ISBN: 3540668101 ISBN-13(EAN): 9783540668107
Издательство: Springer
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Цена: 4186.00 р.
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Computational Methods in Elasticity and Plasticity

Автор: A. Anandarajah
Название: Computational Methods in Elasticity and Plasticity
ISBN: 1489982418 ISBN-13(EAN): 9781489982414
Издательство: Springer
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Цена: 11753.00 р.
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Описание: This book presents the latest developments in the area of elasto-plastic finite element modeling of solids, particulates and pressure-dependent materials and structures. It also contains problem sets, exercises and a solutions manual for instructors.

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: 21661.00 р.
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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.

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: 14365.00 р.
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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.


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