Generalized Continuum Mechanics And Engineering Applications
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Generalized Continuum Mechanics And Engineering Applications
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Author : Angela Madeo
language : en
Publisher: Elsevier
Release Date : 2015-10-31
Generalized Continuum Mechanics And Engineering Applications written by Angela Madeo and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-10-31 with Technology & Engineering categories.
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 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.
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.
Continuum Mechanics Progress In Fundamentals And Engineering Applications
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Author : Edvin Falk
language : en
Publisher:
Release Date : 2016-04-01
Continuum Mechanics Progress In Fundamentals And Engineering Applications written by Edvin Falk and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-01 with categories.
Materials, such as solids, liquids and gases, are composed of molecules separated by "empty" space. On a microscopic scale, materials have cracks and discontinuities. However, certain physical phenomena can be modeled assuming the materials exist as a continuum, meaning the matter in the body is continuously distributed and fills the entire region of space it occupies. A continuum is a body that can be continually sub-divided into infinitesimal elements with properties being those of the bulk material. Continuum mechanics, a branch of mechanics, deals with the analysis of the kinematics and the mechanical behavior of materials modeled as a continuous mass rather than as discrete particles. Continuum mechanics compacts with physical properties of solids and fluids which are independent of any particular coordinate system in which they are observed. These physical properties are then represented by tensors, which are mathematical objects that have the required property of being independent of coordinate system. These tensors can be expressed in coordinate systems for computational convenience. The continuum mechanics clearly brings out the general principles that are common to both solid and fluid mechanics. This subject also discusses necessity for assumption of solid and fluid (ie: in the form of constitutive equations). Further, the frame work of continuum mechanics is useful for understanding elasticity, plasticity, viscoelastcity and viscoplasticity. This book entitled Continuum Mechanics - Progress in Fundamentals and Engineering Applications summaries the advances of continuum mechanics in a number of defined areas. The book gives an emphasis on the application aspect.
Mechanics Of Generalized Continua
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Author : Holm Altenbach
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-04-02
Mechanics Of Generalized Continua 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 2011-04-02 with Technology & Engineering categories.
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.
Variational Principles Of Continuum Mechanics With Engineering Applications
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Author : V. Komkov
language : en
Publisher: Springer Science & Business Media
Release Date : 1987-12-31
Variational Principles Of Continuum Mechanics With Engineering Applications written by V. Komkov 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 1987-12-31 with Mathematics categories.
Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day, that they can't see the problem. perhaps you will find the final question. G. K. Chesterton. The Scandal of Father 'The Hermit Clad in Crane Feathers' in R. Brown 'The point of a Pin'. van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.
Foundations And Applications Of Mechanics Continuum Mechanics
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Author : C. S. Jog
language : en
Publisher: CRC Press
Release Date : 2002
Foundations And Applications Of Mechanics Continuum Mechanics written by C. S. Jog and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Continuum mechanics categories.
Continuum Mechanics
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Author : Yong Gan
language : en
Publisher: BoD – Books on Demand
Release Date : 2012-03-28
Continuum Mechanics written by Yong Gan and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-03-28 with Technology & Engineering categories.
Continuum Mechanics is the foundation for Applied Mechanics. There are numerous books on Continuum Mechanics with the main focus on the macroscale mechanical behavior of materials. Unlike classical Continuum Mechanics books, this book summarizes the advances of Continuum Mechanics in several defined areas. Emphasis is placed on the application aspect. The applications described in the book cover energy materials and systems (fuel cell materials and electrodes), materials removal, and mechanical response/deformation of structural components including plates, pipelines etc. Researchers from different fields should be benefited from reading the mechanics approached to real engineering problems.
Mechanics Of Generalized Continua
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Author : Holm Altenbach
language : en
Publisher: Springer
Release Date : 2012-03-14
Mechanics Of Generalized Continua written by Holm Altenbach and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-03-14 with Technology & Engineering categories.
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.
Continuum Mechanics For Engineers
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Author : G. Thomas Mase
language : en
Publisher: CRC Press
Release Date : 2020-05-01
Continuum Mechanics For Engineers written by G. Thomas Mase and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-01 with Science categories.
A bestselling textbook in its first three editions, Continuum Mechanics for Engineers, Fourth Edition provides engineering students with a complete, concise, and accessible introduction to advanced engineering mechanics. It provides information that is useful in emerging engineering areas, such as micro-mechanics and biomechanics. Through a mastery of this volume’s contents and additional rigorous finite element training, readers will develop the mechanics foundation necessary to skillfully use modern, advanced design tools. Features: Provides a basic, understandable approach to the concepts, mathematics, and engineering applications of continuum mechanics Updated throughout, and adds a new chapter on plasticity Features an expanded coverage of fluids Includes numerous all new end-of-chapter problems With an abundance of worked examples and chapter problems, it carefully explains necessary mathematics and presents numerous illustrations, giving students and practicing professionals an excellent self-study guide to enhance their skills.