Wave Dynamics Of Generalized Continua

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Wave Dynamics Of Generalized Continua

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Author : Alexander G. Bagdoev
language : en
Publisher: Springer
Release Date : 2015-09-25

Wave Dynamics Of Generalized Continua written by Alexander G. Bagdoev and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-09-25 with Science categories.

This monograph is devoted to problems of propagation and stability of linear and nonlinear waves in continuous media with complex structure. It considers the different media, such as solid with cavities, preliminary deformed disperse medium, solid with porosity filled by the electrically conductive and non-conductive liquid, magnetoelastic, piezo-semiconductors, crystals with dislocations, composites with inclusions, an electrically conductive asymmetrical liquid, a mixture of gas with a drop liquid. The book also considers the propagation of a laser beam through a two-level medium. The presented results are based on methods of evolution and modulation equations that were developed by the authors. The book is intended for scientific and technical researchers, students and post-graduate students specializing in mechanics of continuous media, physical acoustics, and physics of the solid state.

Nonlinear Wave Dynamics Of Materials And Structures

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Author : Holm Altenbach
language : en
Publisher: Springer Nature
Release Date : 2020-04-22

Nonlinear Wave Dynamics Of Materials And Structures written by Holm Altenbach and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-04-22 with Technology & Engineering categories.

This book marks the 60th birthday of Prof. Vladimir Erofeev – a well-known specialist in the field of wave processes in solids, fluids, and structures. Featuring a collection of papers related to Prof. Erofeev’s contributions in the field, it presents articles on the current problems concerning the theory of nonlinear wave processes in generalized continua and structures. It also discusses a number of applications as well as various discrete and continuous dynamic models of structures and media and problems of nonlinear acoustic diagnostics.

Mechanics Of Generalized Continua

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Author : Gérard A. Maugin
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-03-24

Mechanics Of Generalized Continua written by Gérard A. Maugin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-03-24 with Mathematics categories.

In their 1909 publication Théorie des corps déformables, Eugène and François 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. The included contributions provide a detailed survey of the most recent theoretical developments in the field of generalized continuum mechanics and can serve as a useful reference for graduate students and researchers in mechanical engineering, materials science, applied physics and applied mathematics.

Dynamics Of Discrete And Continuum Structures And Media

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Author : Holm Altenbach
language : en
Publisher: Springer Nature
Release Date : 2025-07-19

Dynamics Of Discrete And Continuum Structures And Media written by Holm Altenbach and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-07-19 with Science categories.

This volume is dedicated to the sixtieth birthday of Prof. Alexey Porubov and contains a selection of scientific papers prepared by papers by his friends and colleagues from different countries. It is devoted to actual research in dynamics considering discrete and continuum models of continuum and structures. It includes microstructures modeling the behavior of materials and offers new theoretical approaches in dynamics with applications. There has been rapid development in the field of continuum mechanics in recent years. This has led to new theoretical concepts, e.g., better inclusion of the microstructure in the models describing material behavior. At the same time, there are also more applications for the theories in engineering practice. The book gives a new insight into the current developments.

Dynamics Strength Of Materials And Durability In Multiscale Mechanics

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Author : Francesco dell'Isola
language : en
Publisher: Springer Nature
Release Date : 2020-11-01

Dynamics Strength Of Materials And Durability In Multiscale Mechanics written by Francesco dell'Isola and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-01 with Science categories.

This book reviews the mathematical modeling and experimental study of systems involving two or more different length scales. The effects of phenomena occurring at the lower length scales on the behavior at higher scales are of intrinsic scientific interest, but can also be very effectively used to determine the behavior at higher length scales or at the macro-level. Efforts to exploit this micro- and macro-coupling are, naturally, being pursued with regard to every aspect of mechanical phenomena. This book focuses on the changes imposed on the dynamics, strength of materials and durability of mechanical systems by related multiscale phenomena. In particular, it addresses: 1: the impacts of effective dissipation due to kinetic energy trapped at lower scales 2: wave propagation in generalized continua 3: nonlinear phenomena in metamaterials 4: the formalization of more general models to describe the exotic behavior of meta-materials 5: the design and study of microstructures aimed at increasing the toughness and durability of novel materials

Wave Dynamics Mechanics And Physics Of Microstructured Metamaterials

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Author : Mezhlum A. Sumbatyan
language : en
Publisher: Springer
Release Date : 2019-05-17

Wave Dynamics Mechanics And Physics Of Microstructured Metamaterials written by Mezhlum A. Sumbatyan and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-05-17 with Technology & Engineering categories.

This book addresses theoretical and experimental methods for exploring microstructured metamaterials, with a special focus on wave dynamics, mechanics, and related physical properties. The authors use various mathematical and physical approaches to examine the mechanical properties inherent to particular types of metamaterials. These include: • Boundary value problems in reduced strain gradient elasticity for composite fiber-reinforced metamaterials • Self-organization of molecules in ferroelectric thin films • Combined models for surface layers of nanostructures • Computer simulation at the micro- and nanoscale • Surface effects with anisotropic properties and imperfect temperature contacts • Inhomogeneous anisotropic metamaterials with uncoupled and coupled surfaces or interfaces • Special interface finite elements and other numerical and analytical methods for composite structures

Structural Modeling Of Metamaterials

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Author : Vladimir I. Erofeev
language : en
Publisher: Springer Nature
Release Date : 2020-11-13

Structural Modeling Of Metamaterials written by Vladimir I. Erofeev and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-13 with Technology & Engineering categories.

This book discusses the theoretical foundations of the structural modeling method applied to metamaterials. This method takes into account the parameters of the crystal lattice, the size of the medium particles, as well as their shape and constants of force interactions between them. It provides mathematical models of metamaterials that offer insights into the qualitative influence of the local structure on the effective elastic moduli of the considered medium and into performing theoretical estimations of these quantities. This book is useful for researchers working in the fields of solid mechanics, physical acoustics, and condensed matter physics, as well as for graduate and postgraduate students studying mathematical modeling methods.

Advances In Mechanics Of Microstructured Media And Structures

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Author : Francesco dell'Isola
language : en
Publisher: Springer
Release Date : 2018-02-27

Advances In Mechanics Of Microstructured Media And Structures written by Francesco dell'Isola and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-02-27 with Science categories.

This book is an homage to the pioneering works of E. Aero and G. Maugin in the area of analytical description of generalized continua. It presents a collection of contributions on micropolar, micromorphic and strain gradient media, media with internal variables, metamaterials, beam lattices, liquid crystals, and others. The main focus is on wave propagation, stability problems, homogenization, and relations between discrete and continuous models.

Nonlinear Wave Dynamics

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Author : J. Engelbrecht
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17

Nonlinear Wave Dynamics written by J. Engelbrecht and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Technology & Engineering categories.

At the end of the twentieth century, nonlinear dynamics turned out to be one of the most challenging and stimulating ideas. Notions like bifurcations, attractors, chaos, fractals, etc. have proved to be useful in explaining the world around us, be it natural or artificial. However, much of our everyday understanding is still based on linearity, i. e. on the additivity and the proportionality. The larger the excitation, the larger the response-this seems to be carved in a stone tablet. The real world is not always reacting this way and the additivity is simply lost. The most convenient way to describe such a phenomenon is to use a mathematical term-nonlinearity. The importance of this notion, i. e. the importance of being nonlinear is nowadays more and more accepted not only by the scientific community but also globally. The recent success of nonlinear dynamics is heavily biased towards temporal characterization widely using nonlinear ordinary differential equations. Nonlinear spatio-temporal processes, i. e. nonlinear waves are seemingly much more complicated because they are described by nonlinear partial differential equations. The richness of the world may lead in this case to coherent structures like solitons, kinks, breathers, etc. which have been studied in detail. Their chaotic counterparts, however, are not so explicitly analysed yet. The wavebearing physical systems cover a wide range of phenomena involving physics, solid mechanics, hydrodynamics, biological structures, chemistry, etc.

Generalized Continua From The Theory To Engineering Applications

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Author : Holm Altenbach
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-10-18

Generalized Continua From The Theory To Engineering Applications written by Holm Altenbach and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-10-18 with Technology & Engineering categories.

On the roots of continuum mechanics in differential geometry -- a review.- Cosserat media.- Cosserat-type shells.- Cosserat-type rods.- Micromorphic media.- Electromagnetism and generalized continua.- Computational methods for generalized continua. The need of generalized continua models is coming from practice. Complex material behavior sometimes cannot be presented by the classical Cauchy continua. At present the attention of the scientists in this field is focused on the most recent research items • new models, • application of well-known models to new problems, • micro-macro aspects, • computational effort, and • possibilities to identify the constitutive equations The new research directions are discussed in this volume - from the point of view of modeling and simulation, identification, and numerical methods.