Generalized Continua From The Theory To Engineering Applications

Author : Holm Altenbach
Publisher : Springer Science & Business Media
ISBN 13 : 3709113709
Total Pages : 403 pages
Book Rating : 4.07/5 ( download)

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Download or read book Generalized Continua - from the Theory to Engineering Applications written by Holm Altenbach and published by Springer Science & Business Media. This book was released on 2012-10-18 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Gérard A. Maugin
Publisher : Springer Science & Business Media
ISBN 13 : 1441956956
Total Pages : 337 pages
Book Rating : 4.58/5 ( download)

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Download or read book Mechanics of Generalized Continua written by Gérard A. Maugin and published by Springer Science & Business Media. This book was released on 2010-03-24 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Angela Madeo
Publisher : Elsevier
ISBN 13 : 0081004672
Total Pages : 146 pages
Book Rating : 4.78/5 ( download)

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Download or read book Generalized Continuum Mechanics and Engineering Applications written by Angela Madeo and published by Elsevier. This book was released on 2015-10-31 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Holm Altenbach
Publisher : Springer
ISBN 13 : 9783642192203
Total Pages : 352 pages
Book Rating : 4.03/5 ( download)

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Download or read book Mechanics of Generalized Continua written by Holm Altenbach and published by Springer. This book was released on 2012-03-14 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Holm Altenbach
Publisher : Springer Nature
ISBN 13 : 303030406X
Total Pages : 231 pages
Book Rating : 4.65/5 ( download)

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Download or read book Higher Gradient Materials and Related Generalized Continua written by Holm Altenbach and published by Springer Nature. This book was released on 2019-11-04 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Holm Altenbach
Publisher : Springer Nature
ISBN 13 : 3031261860
Total Pages : 781 pages
Book Rating : 4.62/5 ( download)

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Download or read book Sixty Shades of Generalized Continua written by Holm Altenbach and published by Springer Nature. This book was released on 2023-02-13 with total page 781 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, well-known scientists discuss modern aspects of generalized continua, in order to better understand modern materials and advanced structures. They possess complicated internal structure, and it requires the development of new approaches to model such structures and new effects caused by it. This book combines fundamental contributions in honor of Victor Eremeyev and his 60th birthday.

Author : Francesco dell'Isola
Publisher : Springer Nature
ISBN 13 : 3030805506
Total Pages : 377 pages
Book Rating : 4.00/5 ( download)

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Download or read book Evaluation of Scientific Sources in Mechanics written by Francesco dell'Isola and published by Springer Nature. This book was released on 2021-08-12 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Holm Altenbach
Publisher : Springer
ISBN 13 : 3319317210
Total Pages : 457 pages
Book Rating : 4.12/5 ( download)

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Download or read book Generalized Continua as Models for Classical and Advanced Materials written by Holm Altenbach and published by Springer. This book was released on 2016-04-15 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is devoted to an actual topic which is the focus world-wide of various research groups. It contains contributions describing the material behavior on different scales, new existence and uniqueness theorems, the formulation of constitutive equations for advanced materials. The main emphasis of the contributions is directed on the following items - Modelling and simulation of natural and artificial materials with significant microstructure, - Generalized continua as a result of multi-scale models, - Multi-field actions on materials resulting in generalized material models, - Theories including higher gradients, and - Comparison with discrete modelling approaches

Author : Francesco Marmo
Publisher : Springer Nature
ISBN 13 : 3030427072
Total Pages : 275 pages
Book Rating : 4.78/5 ( download)

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Download or read book Mathematical Applications in Continuum and Structural Mechanics written by Francesco Marmo and published by Springer Nature. This book was released on 2021-11-30 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Holm Altenbach
Publisher : Springer Science & Business Media
ISBN 13 : 364219219X
Total Pages : 355 pages
Book Rating : 4.97/5 ( download)

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Download or read book Mechanics of Generalized Continua written by Holm Altenbach and published by Springer Science & Business Media. This book was released on 2011-04-02 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.