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Higher Gradient Materials and Related Generalized Continua, Holm Altenbach


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Автор: Holm Altenbach   (Хольм Альтенбах)
Название:  Higher Gradient Materials and Related Generalized Continua
Перевод названия: Хольм Альтенбах: Материалы высшего градиента и связанные с ними обобщенные континуумы
ISBN: 9783030304058
Издательство: Springer
Классификация:



ISBN-10: 3030304051
Обложка/Формат: Hardcover
Страницы: 231
Вес: 0.54 кг.
Дата издания: 13.11.2019
Серия: Advanced structured materials
Язык: English
Издание: 1st ed. 2019
Иллюстрации: 10 tables, color; 53 illustrations, color; 16 illustrations, black and white; xvi, 231 p. 69 illus., 53 illus. in color.
Размер: 234 x 156 x 16
Читательская аудитория: Professional & vocational
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: This book discusses recent findings and advanced theories presented at two workshops at TU Berlin in 2017 and 2018. It underlines several advantages of generalized continuum models compared to the classical Cauchy continuum, which although widely used in engineering practice, has a number of limitations, such as:* The structural size is very small. * The microstructure is complex.

* The effects are localized. As such, the development of generalized continuum models is helpful and results in a better description of the behavior of structures or materials. At the same time, there are more and more experimental studies supporting the new models because the number of material parameters is higher.




Waves and Rays in Elastic Continua

Автор: Slawinski M. A.
Название: Waves and Rays in Elastic Continua
ISBN: 9814641758 ISBN-13(EAN): 9789814641753
Издательство: World Scientific Publishing
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Цена: 18216.00 р.
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Описание: The present book — which is the third, significantly revised edition of the textbook originally published by Elsevier Science — emphasizes the interdependence of mathematical formulation and physical meaning in the description of seismic phenomena. Herein, we use aspects of continuum mechanics, wave theory and ray theory to explain phenomena resulting from the propagation of seismic waves.The book is divided into three main sections: Elastic Continua, Waves and Rays and Variational Formulation of Rays. There is also a fourth part, which consists of appendices.In Elastic Continua, we use continuum mechanics to describe the material through which seismic waves propagate, and to formulate a system of equations to study the behaviour of such a material. In Waves and Rays, we use these equations to identify the types of body waves propagating in elastic continua as well as to express their velocities and displacements in terms of the properties of these continua. To solve the equations of motion in anisotropic inhomogeneous continua, we invoke the concept of a ray. In Variational Formulation of Rays, we show that, in elastic continua, a ray is tantamount to a trajectory along which a seismic signal propagates in accordance with the variational principle of stationary traveltime. Consequently, many seismic problems in elastic continua can be conveniently formulated and solved using the calculus of variations. In the Appendices, we describe two mathematical concepts that are used in the book; namely, homogeneity of a function and Legendre's transformation. This section also contains a list of symbols.

Wave Dynamics of Generalized Continua

Автор: Alexander G. Bagdoev; Vladimir I. Erofeyev; Ashot
Название: Wave Dynamics of Generalized Continua
ISBN: 366250801X ISBN-13(EAN): 9783662508015
Издательство: Springer
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Цена: 14743.00 р.
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Описание: This book examines propagation and stability of linear and nonlinear waves in continuous media with complex structure such as solid with cavities, composites with inclusions, piezo-semiconductors and propagation of a laser beam through a two-level medium.

Mechanics of Generalized Continua

Автор: G?rard A. Maugin; Andrei V. Metrikine
Название: Mechanics of Generalized Continua
ISBN: 1461425743 ISBN-13(EAN): 9781461425748
Издательство: Springer
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Описание: In their 1909 publication Theorie des corps deformables, Eugene and Francois Cosserat made a historic contribution to materials science by establishing the fundamental principles of the mechanics of generalized continua. The chapters collected in this volume showcase the many areas of continuum mechanics that grew out of the foundational work of the Cosserat brothers.

Mechanics of Generalized Continua

Автор: G?rard A. Maugin; Andrei V. Metrikine
Название: Mechanics of Generalized Continua
ISBN: 1441956948 ISBN-13(EAN): 9781441956941
Издательство: Springer
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Описание: In their 1909 publication Theorie des corps deformables, Eugene and Francois Cosserat made a historic contribution to materials science by establishing the fundamental principles of the mechanics of generalized continua. The chapters collected in this volume showcase the many areas of continuum mechanics that grew out of the foundational work of the Cosserat brothers.

Galilean Mechanics and Thermodynamics of Continua

Автор: Géry de Saxcé, Claude Valleé
Название: Galilean Mechanics and Thermodynamics of Continua
ISBN: 1848216424 ISBN-13(EAN): 9781848216426
Издательство: Wiley
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Цена: 22643.00 р.
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Описание: This title proposes a unified approach to continuum mechanics which is consistent with Galilean relativity.

A Geometric Approach to Thermomechanics of Dissipating Continua

Автор: Lalao Rakotomanana
Название: A Geometric Approach to Thermomechanics of Dissipating Continua
ISBN: 1461264111 ISBN-13(EAN): 9781461264118
Издательство: Springer
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Описание: Then, major steps in the evolution of spacetime concepts were made by Einstein in 1905 (special relativity) and 1915 (general relativity) by using Riemannian connection.

Generalized Continua as Models for Materials

Автор: Holm Altenbach; Samuel Forest; Anton Krivtsov
Название: Generalized Continua as Models for Materials
ISBN: 3642433677 ISBN-13(EAN): 9783642433672
Издательство: Springer
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Цена: 20896.00 р.
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Описание: This book describes the micro- and macro-behavior, new existence and uniqueness theorems. It explains many effects of the mechanical behaviour of solids and fluids that can not be explained by the available classical models.

Generalized Continua as Models for Materials

Автор: Holm Altenbach; Samuel Forest; Anton Krivtsov
Название: Generalized Continua as Models for Materials
ISBN: 3642363938 ISBN-13(EAN): 9783642363931
Издательство: Springer
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Цена: 22359.00 р.
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Описание: This book describes the micro- and macro-behavior, new existence and uniqueness theorems. It explains many effects of the mechanical behaviour of solids and fluids that can not be explained by the available classical models.

Generalized Continua as Models for Classical and Advanced Materials

Автор: Holm Altenbach; Samuel Forest
Название: Generalized Continua as Models for Classical and Advanced Materials
ISBN: 3319317199 ISBN-13(EAN): 9783319317199
Издательство: Springer
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Описание: 1 On Strain Rate Tensors and Constitutive Equations of Inelastic Micropolar Materials.- 2 On the Modelling of Carbon Nano Tubes as Generalized Continua.- 3 Isogeometric Analysis of Gradient-Elastic 1D and 2D Problems.- 4 A Fast Fourier Transform-Based Approach for Generalized Disclination Mechanics Within a Couple Stress Theory.- 5 Some Cases of Unrecognized Transmission of Scientific Knowledge: from Antiquity to Gabrio Piola's Peridynamics and Generalized Continuum Theories.- 6 Computational Analysis of the Size Effects Displayed in Beams with Lattice Microstructures.

Generalized Continua and Dislocation Theory

Автор: Carlo Sansour; Sebastian Skatulla
Название: Generalized Continua and Dislocation Theory
ISBN: 3709117550 ISBN-13(EAN): 9783709117552
Издательство: Springer
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Цена: 20896.00 р.
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Описание: The most comprehensive treatment to date of generalized continua, this volume outlines their links to disciplines such as nanoengineering and biomechanics. Incorporating current notions of scale variation, it includes revelatory lectures from Maugin and Zbib.

Mechanics of Generalized Continua

Автор: Holm Altenbach; G?rard A. Maugin; Vladimir Erofeev
Название: Mechanics of Generalized Continua
ISBN: 3642267661 ISBN-13(EAN): 9783642267666
Издательство: Springer
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Описание: Mechanics of Generalized Continua comprises of contributions from leading experts from France, Russian Federation, and Germany. The text focuses on recent research such as the application of well-known models to new problems, micro-macro aspects, and more.

Dynamical Processes in Generalized Continua and Structures

Автор: Holm Altenbach; Alexander Belyaev; Victor A. Ereme
Название: Dynamical Processes in Generalized Continua and Structures
ISBN: 3030116646 ISBN-13(EAN): 9783030116644
Издательство: Springer
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Описание: This book presents a collection of chapters on the current problems of the theory of dynamical processes in generalized continua and structures, and has been compiled to commemorate the 70th birthday of Prof. Dmitry Indeitsev – a leading specialist in the field of dynamical processes in solids, fluids and structures. It discusses various applications related to Prof. Indeitsev’s contributions, including various discrete and continuous dynamic models of structures and media, as well as a number of dynamical processes in generalized media.


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