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Mechanics Of Generalized Continua

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Mechanics of Generalized Continua

Mechanics of Generalized Continua Book
Author : Ekkehart Kröner
Publisher : Unknown
Release : 1968
ISBN : 0987650XXX
File Size : 24,5 Mb
Language : En, Es, Fr and De

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Mechanics of Generalized Continua Book PDF/Epub Download

Download Mechanics of Generalized Continua book written by Ekkehart Kröner and published by with total hardcover pages 380 . Available in PDF, EPUB, and Kindle, read book directly with any devices anywhere and anytime.

Mechanics of Generalized Continua

Mechanics of Generalized Continua Book
Author : Gérard A. Maugin,Andrei V. Metrikine
Publisher : Springer Science & Business Media
Release : 2010-03-24
ISBN : 1441956956
File Size : 29,9 Mb
Language : En, Es, Fr and De

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Mechanics of Generalized Continua Book PDF/Epub Download

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.

Mechanics of Generalized Continua

Mechanics of Generalized Continua Book
Author : Holm Altenbach,Gérard A. Maugin,Vladimir Erofeev
Publisher : Springer Science & Business Media
Release : 2011-04-02
ISBN : 364219219X
File Size : 25,6 Mb
Language : En, Es, Fr and De

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Mechanics of Generalized Continua Book PDF/Epub Download

This collection on „Mechanics of Generalized Continua - from Micromechanical Basics to Engineering Applications“ brings together leading scientists in this field from France, Russian Federation, and Germany. The attention in this publication is be focussed on the most recent research items, i.e., - new models, - application of well-known models to new problems, - micro-macro aspects, - computational effort, - possibilities to identify the constitutive equations, and - old problems with incorrect or non-satisfying solutions based on the classical continua assumptions.

Generalized Continua from the Theory to Engineering Applications

Generalized Continua   from the Theory to Engineering Applications Book
Author : Holm Altenbach,Victor A. Eremeyev
Publisher : Springer Science & Business Media
Release : 2012-10-18
ISBN : 3709113709
File Size : 25,6 Mb
Language : En, Es, Fr and De

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Generalized Continua from the Theory to Engineering Applications Book PDF/Epub Download

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.

Mechanics of Generalized Continua

Mechanics of Generalized Continua Book
Author : Holm Altenbach,Gérard A. Maugin,Vladimir Erofeev
Publisher : Springer
Release : 2013-05-29
ISBN : 9783642267666
File Size : 54,9 Mb
Language : En, Es, Fr and De

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Mechanics of Generalized Continua Book PDF/Epub Download

This collection on „Mechanics of Generalized Continua - from Micromechanical Basics to Engineering Applications“ brings together leading scientists in this field from France, Russian Federation, and Germany. The attention in this publication is be focussed on the most recent research items, i.e., - new models, - application of well-known models to new problems, - micro-macro aspects, - computational effort, - possibilities to identify the constitutive equations, and - old problems with incorrect or non-satisfying solutions based on the classical continua assumptions.

Mechanics of Generalized Continua

Mechanics of Generalized Continua Book
Author : Gérard A. Maugin,Andrei V. Metrikine
Publisher : Springer
Release : 2010-03-24
ISBN : 9781441956941
File Size : 54,8 Mb
Language : En, Es, Fr and De

DOWNLOAD

Mechanics of Generalized Continua Book PDF/Epub Download

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.

Mechanics of generalized continua

Mechanics of generalized continua Book
Author : Ekkehart Kröner
Publisher : Unknown
Release : 1968
ISBN : 0987650XXX
File Size : 23,9 Mb
Language : En, Es, Fr and De

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Mechanics of generalized continua Book PDF/Epub Download

Download Mechanics of generalized continua book written by Ekkehart Kröner and published by with total hardcover pages 358 . Available in PDF, EPUB, and Kindle, read book directly with any devices anywhere and anytime.

Generalized Continuum Mechanics and Engineering Applications

Generalized Continuum Mechanics and Engineering Applications Book
Author : Angela Madeo
Publisher : Elsevier
Release : 2015-10-31
ISBN : 0081004672
File Size : 43,5 Mb
Language : En, Es, Fr and De

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Generalized Continuum Mechanics and Engineering Applications Book PDF/Epub Download

The new concept of metamaterial is increasingly attracting the interest of physicists and mechanical engineers. Such materials are obtained by suitably assembling multiple individual elements but usually arranged in (quasi-)periodic substructures in order to show exotic global mechanical properties. Indeed, the particular shape, geometry, size, orientation and arrangement of their constituting elements can affect, the propagation of waves of light or sound in a manner not observed in natural materials, creating material properties which may give rise to unexpected engineering applications. Particularly promising in the design and description of metamaterials are those micro-structures which present high contrasts in their mechanical properties: these micro-structures, once homogenized, may produce generalized continuum media, for example, second gradient or micromorphic. Many scientific challenges related to the application of generalized continuum theories to the characterization and conception of high-performance metamaterials can be identified. In this book we identify and discuss four main potential fields of applications of generalized continuum theories, namely, mechanical behavior of fibrous composite reinforcements, wave propagation in metamaterials, mechanical behavior of concrete and mechanically driven remodeling of bone in presence of bio-resorbable materials. For each field, we underline how the use of a generalized continuum theory can be of help for describing how the presence of microstructure can affect the global mechanical behavior of the considered metamaterials. Covers four main fields of the application of continuum theories Learn how to apply generalised continuum theory to describe the effects of microstructure on the mechanical behavior of materials Decipher the material properties which aid your engineering applications

Generalized Continua and Dislocation Theory

Generalized Continua and Dislocation Theory Book
Author : Carlo Sansour,Sebastian Skatulla
Publisher : Springer Science & Business Media
Release : 2012-05-27
ISBN : 3709112222
File Size : 21,9 Mb
Language : En, Es, Fr and De

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Generalized Continua and Dislocation Theory Book PDF/Epub Download

Defects, dislocations and the general theory.- Approaches to generalized continua.- Generalized continuum modelling of crystal plasticity.- Introduction to discrete dislocation dynamics. The book contains four lectures on generalized continua and dislocation theory, reflecting the treatment of the subject at different scales. G. Maugin provides a continuum formulation of defects at the heart of which lies the notion of the material configuration and the material driving forces of in-homogeneities such as dislocations, disclinations, point defects, cracks, phase-transition fronts and shock waves. C. Sansour and S. Skatulla start with a compact treatment of linear transformation groups with subsequent excursion into the continuum theory of generalized continua. After a critical assessment a unified framework of the same is presented. The next contribution by S. Forest gives an account on generalized crystal plasticity. Finally, H. Zbib provides an account of dislocation dynamics and illustrates its fundamental importance at the smallest scale. In three contributions extensive computational results of many examples are presented.

Theoretical Mechanics of Particles and Continua

Theoretical Mechanics of Particles and Continua Book
Author : Alexander L. Fetter,John Dirk Walecka
Publisher : Courier Corporation
Release : 2003-12-16
ISBN : 0486432610
File Size : 43,6 Mb
Language : En, Es, Fr and De

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Theoretical Mechanics of Particles and Continua Book PDF/Epub Download

This two-part text fills what has often been a void in the first-year graduate physics curriculum. Through its examination of particles and continua, it supplies a lucid and self-contained account of classical mechanics — which in turn provides a natural framework for introducing many of the advanced mathematical concepts in physics. The text opens with Newton's laws of motion and systematically develops the dynamics of classical particles, with chapters on basic principles, rotating coordinate systems, lagrangian formalism, small oscillations, dynamics of rigid bodies, and hamiltonian formalism, including a brief discussion of the transition to quantum mechanics. This part of the book also considers examples of the limiting behavior of many particles, facilitating the eventual transition to a continuous medium. The second part deals with classical continua, including chapters on string membranes, sound waves, surface waves on nonviscous fluids, heat conduction, viscous fluids, and elastic media. Each of these self-contained chapters provides the relevant physical background and develops the appropriate mathematical techniques, and problems of varying difficulty appear throughout the text.

Higher Gradient Materials and Related Generalized Continua

Higher Gradient Materials and Related Generalized Continua Book
Author : Holm Altenbach,Wolfgang H. Müller,Bilen Emek Abali
Publisher : Springer Nature
Release : 2019-11-04
ISBN : 303030406X
File Size : 43,8 Mb
Language : En, Es, Fr and De

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Higher Gradient Materials and Related Generalized Continua Book PDF/Epub Download

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.

Non Classical Continuum Mechanics

Non Classical Continuum Mechanics Book
Author : Gérard A. Maugin
Publisher : Springer
Release : 2016-09-24
ISBN : 9811024340
File Size : 28,8 Mb
Language : En, Es, Fr and De

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Non Classical Continuum Mechanics Book PDF/Epub Download

This dictionary offers clear and reliable explanations of over 100 keywords covering the entire field of non-classical continuum mechanics and generalized mechanics, including the theory of elasticity, heat conduction, thermodynamic and electromagnetic continua, as well as applied mathematics. Every entry includes the historical background and the underlying theory, basic equations and typical applications. The reference list for each entry provides a link to the original articles and the most important in-depth theoretical works. Last but not least, ever y entry is followed by a cross-reference to other related subject entries in the dictionary.

Evaluation of Scientific Sources in Mechanics

Evaluation of Scientific Sources in Mechanics Book
Author : Francesco dell'Isola,Simon R. Eugster,Mario Spagnuolo,Emilio Barchiesi
Publisher : Springer Nature
Release : 2021-08-12
ISBN : 3030805506
File Size : 36,8 Mb
Language : En, Es, Fr and De

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Evaluation of Scientific Sources in Mechanics Book PDF/Epub Download

This book evaluates the importance of various historical sources and discusses their role in the creation and transmission of scientific knowledge. It presents an annotated translation of the introductory words given by Johan Ludvig Heiberg to his translation of the works of Archimedes. Further, it offers English translations of and commentaries on selected fundamental works by Ernst Hellinger and Gabrio Piola, which lay the groundwork for the modern theory of advanced materials, and also examines the criteria used to evaluate scientific works.

Mathematical Models of Granular Matter

Mathematical Models of Granular Matter Book
Author : Gianfranco Capriz,Pasquale Giovine,Paolo Maria Mariano
Publisher : Springer Science & Business Media
Release : 2008-04-18
ISBN : 3540782761
File Size : 24,6 Mb
Language : En, Es, Fr and De

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Mathematical Models of Granular Matter Book PDF/Epub Download

Granular matter displays a variety of peculiarities that distinguish it from other appearances studied in condensed matter physics and renders its overall mathematical modelling somewhat arduous. Prominent directions in the modelling granular flows are analyzed from various points of view. Foundational issues, numerical schemes and experimental results are discussed. The volume furnishes a rather complete overview of the current research trends in the mechanics of granular matter. Various chapters introduce the reader to different points of view and related techniques. New models describing granular bodies as complex bodies are presented. Results on the analysis of the inelastic Boltzmann equations are collected in different chapters. Gallavotti-Cohen symmetry is also discussed.

Dynamics Strength of Materials and Durability in Multiscale Mechanics

Dynamics  Strength of Materials and Durability in Multiscale Mechanics Book
Author : Francesco dell'Isola,Leonid Igumnov
Publisher : Springer Nature
Release : 2020-11-01
ISBN : 3030537552
File Size : 37,8 Mb
Language : En, Es, Fr and De

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Dynamics Strength of Materials and Durability in Multiscale Mechanics Book PDF/Epub Download

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

Generalized Models and Non classical Approaches in Complex Materials 1

Generalized Models and Non classical Approaches in Complex Materials 1 Book
Author : Holm Altenbach,Joël Pouget,Martine Rousseau,Bernard Collet,Thomas Michelitsch
Publisher : Springer
Release : 2018-03-24
ISBN : 3319724401
File Size : 36,9 Mb
Language : En, Es, Fr and De

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Generalized Models and Non classical Approaches in Complex Materials 1 Book PDF/Epub Download

This book is the first of 2 special volumes dedicated to the memory of Gérard Maugin. Including 40 papers that reflect his vast field of scientific activity, the contributions discuss non-standard methods (generalized model) to demonstrate the wide range of subjects that were covered by this exceptional scientific leader. The topics range from micromechanical basics to engineering applications, focusing on new models and applications of well-known models to new problems. They include micro–macro aspects, computational endeavors, options for identifying constitutive equations, and old problems with incorrect or non-satisfying solutions based on the classical continua assumptions.

Advances in Extended and Multifield Theories for Continua

Advances in Extended and Multifield Theories for Continua Book
Author : Bernd Markert
Publisher : Springer Science & Business Media
Release : 2011-07-15
ISBN : 3642227384
File Size : 35,6 Mb
Language : En, Es, Fr and De

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Advances in Extended and Multifield Theories for Continua Book PDF/Epub Download

Modern computational techniques, such as the Finite Element Method, have, since their development several decades ago, successfully exploited continuum theories for numerous applications in science and technology. Although standard continuum methods based upon the Cauchy-Boltzmann continuum are still of great importance and are widely used, it increasingly appears that material properties stemming from microstructural phenomena have to be considered. This is particularly true for inhomogeneous load and deformation states, where lower-scale size effects begin to affect the macroscopic material response; something standard continuum theories fail to account for. Following this idea, it is evident that standard continuum mechanics has to be augmented to capture lower-scale structural and compositional phenomena, and to make this information accessible to macroscopic numerical simulations.

Multiscale Biomechanics

Multiscale Biomechanics Book
Author : Jean-Francois Ganghoffer
Publisher : Elsevier
Release : 2018-02-03
ISBN : 0081021151
File Size : 27,8 Mb
Language : En, Es, Fr and De

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Multiscale Biomechanics Book PDF/Epub Download

Multiscale Biomechanics provides new insights on multiscale static and dynamic behavior of both soft and hard biological tissues, including bone, the intervertebral disk, biological membranes and tendons. The physiological aspects of bones and biological membranes are introduced, along with micromechanical models used to compute mechanical response. A modern account of continuum mechanics of growth and remodeling, generalized continuum models to capture internal lengths scales, and dedicated homogenization methods are provided to help the reader with the necessary theoretical foundations. Topics discussed include multiscale methods for fibrous media based on discrete homogenization, generalized continua constitutive models for bone, and a presentation of recent theoretical and numerical advances. In addition, a refresher on continuum mechanics and more advanced background related to differential geometry, configurational mechanics, mechanics of growth, thermodynamics of open systems and homogenization methods is given in separate chapters. Numerical aspects are treated in detail, and simulations are presented to illustrate models. This book is intended for graduate students and researchers in biomechanics interested in the latest research developments, as well as those who wish to gain insight into the field of biomechanics. Provides a clear exposition of multiscale methods for fibrous media based on discrete homogenization and the consideration of generalized continua constitutive models for bone Presents recent theoretical and numerical advances for bone remodeling and growth Includes the necessary theoretical background that is exposed in a clear and self-contained manner Covers continuum mechanics and more advanced background related to differential geometry, configurational mechanics, mechanics of growth, thermodynamics of open systems and homogenization methods

Mathematical Applications in Continuum and Structural Mechanics

Mathematical Applications in Continuum and Structural Mechanics Book
Author : Francesco Marmo,Salvatore Sessa,Emilio Barchiesi,Mario Spagnuolo
Publisher : Springer Nature
Release : 2021-11-30
ISBN : 3030427072
File Size : 28,9 Mb
Language : En, Es, Fr and De

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Mathematical Applications in Continuum and Structural Mechanics Book PDF/Epub Download

This book presents a range of research projects focusing on innovative numerical and modeling strategies for the nonlinear analysis of structures and metamaterials. The topics covered concern various analysis approaches based on classical finite element solutions, structural optimization, and analytical solutions in order to present a comprehensive overview of the latest scientific advances. Although based on pioneering research, the contributions are focused on immediate and direct application in practice, providing valuable tools for researchers and practicing professionals alike.

Local Approach to Fracture

Local Approach to Fracture Book
Author : Clotilde Berdin
Publisher : Presses des MINES
Release : 2004
ISBN : 291176255X
File Size : 37,5 Mb
Language : En, Es, Fr and De

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Local Approach to Fracture Book PDF/Epub Download

This book presents several aspects of the local approach to fracture: damage mechanisms, experimental techniques, damage evolution law and failure criteria, modelling of damage, and numerical simulation -- Back cover.

Multiscale Methods in Computational Mechanics

Multiscale Methods in Computational Mechanics Book
Author : René de Borst,Ekkehard Ramm
Publisher : Springer Science & Business Media
Release : 2010-10-09
ISBN : 9048198097
File Size : 36,7 Mb
Language : En, Es, Fr and De

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Multiscale Methods in Computational Mechanics Book PDF/Epub Download

This work gives a modern, up-to-date account of recent developments in computational multiscale mechanics. Both upscaling and concurrent computing methodologies will be addressed for a range of application areas in computational solid and fluid mechanics: Scale transitions in materials, turbulence in fluid-structure interaction problems, multiscale/multilevel optimization, multiscale poromechanics. A Dutch-German research group that consists of qualified and well-known researchers in the field has worked for six years on the topic of computational multiscale mechanics. This text provides a unique opportunity to consolidate and disseminate the knowledge gained in this project. The addition of chapters written by experts outside this working group provides a broad and multifaceted view of this rapidly evolving field.