Generalized Continua - from the Theory to Engineering Applications

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 3709113709
Total Pages : 403 pages
Book Rating : 4.7/5 (91 download)

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Book Synopsis Generalized Continua - from the Theory to Engineering Applications by : Holm Altenbach

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.

Mechanics of Generalized Continua

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Publisher : Springer Science & Business Media
ISBN 13 : 1441956956
Total Pages : 337 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis Mechanics of Generalized Continua by : Gérard A. Maugin

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.

Mechanics of Generalized Continua

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Publisher : Springer Science & Business Media
ISBN 13 : 364219219X
Total Pages : 355 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Mechanics of Generalized Continua by : Holm Altenbach

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.

Generalized Continuum Mechanics and Engineering Applications

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Author :
Publisher : Elsevier
ISBN 13 : 0081004672
Total Pages : 146 pages
Book Rating : 4.0/5 (81 download)

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Book Synopsis Generalized Continuum Mechanics and Engineering Applications by : Angela Madeo

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

Mechanics of Generalized Continua

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Author :
Publisher : Springer
ISBN 13 : 9783642192203
Total Pages : 352 pages
Book Rating : 4.1/5 (922 download)

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Book Synopsis Mechanics of Generalized Continua by : Holm Altenbach

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.

Higher Gradient Materials and Related Generalized Continua

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Publisher : Springer Nature
ISBN 13 : 303030406X
Total Pages : 231 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Higher Gradient Materials and Related Generalized Continua by : Holm Altenbach

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.

Sixty Shades of Generalized Continua

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Publisher : Springer Nature
ISBN 13 : 3031261860
Total Pages : 781 pages
Book Rating : 4.0/5 (312 download)

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Book Synopsis Sixty Shades of Generalized Continua by : Holm Altenbach

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.

Evaluation of Scientific Sources in Mechanics

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Publisher : Springer Nature
ISBN 13 : 3030805506
Total Pages : 377 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Evaluation of Scientific Sources in Mechanics by : Francesco dell'Isola

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.

Generalized Continua as Models for Classical and Advanced Materials

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Publisher : Springer
ISBN 13 : 3319317210
Total Pages : 457 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis Generalized Continua as Models for Classical and Advanced Materials by : Holm Altenbach

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

Mathematical Applications in Continuum and Structural Mechanics

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Publisher : Springer Nature
ISBN 13 : 3030427072
Total Pages : 275 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Mathematical Applications in Continuum and Structural Mechanics by : Francesco Marmo

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.

Shell Structures: Theory and Applications

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Publisher : CRC Press
ISBN 13 : 1482229080
Total Pages : 600 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Shell Structures: Theory and Applications by : Wojciech Pietraszkiewicz

Download or read book Shell Structures: Theory and Applications written by Wojciech Pietraszkiewicz and published by CRC Press. This book was released on 2013-09-18 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt: Shells are basic structural elements of modern technology and everyday life. Examples are automobile bodies, water and oil tanks, pipelines, aircraft fuselages, nanotubes, graphene sheets or beer cans. Also nature is full of living shells such as leaves of trees, blooming flowers, seashells, cell membranes, the double helix of DNA or wings of insec

Shell-like Structures

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Publisher : Springer
ISBN 13 : 3319422774
Total Pages : 288 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Shell-like Structures by : Holm Altenbach

Download or read book Shell-like Structures written by Holm Altenbach and published by Springer. This book was released on 2016-08-09 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents mathematical and mechanical aspects of the theory of plates and shells, applications in civil, aero-space and mechanical engineering, as well in other areas. The focus relates to the following problems:• comprehensive review of the most popular theories of plates and shells,• relations between three-dimensional theories and two-dimensional ones,• presentation of recently developed new refined plates and shells theories (for example, the micropolar theory or gradient-type theories),• modeling of coupled effects in shells and plates related to electromagnetic and temperature fields, phase transitions, diffusion, etc.,• applications in modeling of non-classical objects like, for example, nanostructures,• presentation of actual numerical tools based on the finite element approach.

State of the Art and Future Trends in Material Modeling

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Publisher : Springer Nature
ISBN 13 : 3030303551
Total Pages : 505 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis State of the Art and Future Trends in Material Modeling by : Holm Altenbach

Download or read book State of the Art and Future Trends in Material Modeling written by Holm Altenbach and published by Springer Nature. This book was released on 2019-10-23 with total page 505 pages. Available in PDF, EPUB and Kindle. Book excerpt: This special anniversary book celebrates the success of this Springer book series highlighting materials modeling as the key to developing new engineering products and applications. In this 100th volume of “Advanced Structured Materials”, international experts showcase the current state of the art and future trends in materials modeling, which is essential in order to fulfill the demanding requirements of next-generation engineering tasks.

Non-Classical Continuum Mechanics

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Publisher : Springer
ISBN 13 : 9811024340
Total Pages : 259 pages
Book Rating : 4.8/5 (11 download)

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Book Synopsis Non-Classical Continuum Mechanics by : Gérard A. Maugin

Download or read book Non-Classical Continuum Mechanics written by Gérard A. Maugin and published by Springer. This book was released on 2016-09-24 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Plasticity of Pressure-Sensitive Materials

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Publisher : Springer Science & Business Media
ISBN 13 : 3642409458
Total Pages : 383 pages
Book Rating : 4.6/5 (424 download)

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Book Synopsis Plasticity of Pressure-Sensitive Materials by : Holm Altenbach

Download or read book Plasticity of Pressure-Sensitive Materials written by Holm Altenbach and published by Springer Science & Business Media. This book was released on 2014-07-08 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classical plasticity theory of metals is independent of the hydrostatic pressure. However if the metal contains voids or pores or if the structure is composed of cells, this classical assumption is no more valid and the influence of the hydrostatic pressure must be incorporated in the constitutive description. Looking at the microlevel, metal plasticity is connected with the uniform planes of atoms organized with long-range order. Planes may slip past each other along their close-packed directions. The result is a permanent change of shape within the crystal and plastic deformation. The presence of dislocations increases the likelihood of planes slipping. Nowadays, the theory of pressure sensitive plasticity is successfully applied to many other important classes of materials (polymers, concrete, bones etc.) even if the phenomena on the micro-level are different to classical plasticity of metals. The theoretical background of this phenomenological approach based on observations on the macro-level is described in detail in this monograph and applied to a wide range of different important materials in the last part of this book.

Foundations of Micropolar Mechanics

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Publisher : Springer Science & Business Media
ISBN 13 : 3642283535
Total Pages : 142 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Foundations of Micropolar Mechanics by : Victor A. Eremeyev

Download or read book Foundations of Micropolar Mechanics written by Victor A. Eremeyev and published by Springer Science & Business Media. This book was released on 2012-07-25 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents foundations of the micropolar continuum mechanics including a short but comprehensive introduction of stress and strain measures, derivation of motion equations and discussion of the difference between Cosserat and classical (Cauchy) continua, and the discussion of more specific problems related to the constitutive modeling, i.e. constitutive inequalities, symmetry groups, acceleration waves, etc.

Dynamics, Strength of Materials and Durability in Multiscale Mechanics

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Publisher : Springer Nature
ISBN 13 : 3030537552
Total Pages : 403 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis Dynamics, Strength of Materials and Durability in Multiscale Mechanics by : Francesco dell'Isola

Download or read book Dynamics, Strength of Materials and Durability in Multiscale Mechanics written by Francesco dell'Isola and published by Springer Nature. This book was released on 2020-11-01 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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