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Higher Gradient Materials and Related Generalized Continua

Author : Holm Altenbach

Publisher : Springer Nature

Page : 246 pages

File Size : 33,96 MB

Release : 2019-11-04

Category : Technology & Engineering

ISBN : 303030406X

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Book Description

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

Author : Holm Altenbach

Publisher : Springer Nature

Page : 781 pages

File Size : 49,14 MB

Release : 2023-02-13

Category : Science

ISBN : 3031261860

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Book Description

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.



Generalized Continua as Models for Classical and Advanced Materials

Author : Holm Altenbach

Publisher : Springer

Page : 456 pages

File Size : 34,95 MB

Release : 2016-04-15

Category : Science

ISBN : 3319317210

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Book Description

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



Proceedings of 8th GACM Colloquium on Computational Mechanics

Author : Tobias Gleim

Publisher : kassel university press GmbH

Page : 493 pages

File Size : 36,56 MB

Release : 2019-09-04

Category : Technology & Engineering

ISBN : 3737650934

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Book Description

This conference book contains papers presented at the 8th GACM Colloquium on Computational Mechanics for Young Scientists from Academia and Industry. The conference was held from August 28th – 30th, 2019 in Kassel, hosted by the Institute of Mechanics and Dynamics of the department for civil and environmental engineering and by the chair of Engineering Mechanics / Continuum Mechanics of the department for mechanical engineering of the University of Kassel. The aim of the conference is, to bring together young scientits who are engaged in academic and industrial research on Computational Mechanics and Computer Methods in Applied Sciences. It provides a plattform to present and discuss recent results from research efforts and industrial applications. In more than 150 presentations, given by young scientists, current scientific developments and advances in engineering practice in this field are presented and discussed. The contributions of the young researchers are supplemented by a poster session and plenary talks from four senior scientists from academia and industry as well as from the GACM Best PhD Award winners 2017 and 2018.



Mechanics of Generalized Continua

Author : Gérard A. Maugin

Publisher : Springer Science & Business Media

Page : 337 pages

File Size : 21,98 MB

Release : 2010-03-24

Category : Mathematics

ISBN : 1441956956

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Book Description

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.



Generalized Continua and Dislocation Theory

Author : Carlo Sansour

Publisher : Springer Science & Business Media

Page : 323 pages

File Size : 31,42 MB

Release : 2012-05-27

Category : Science

ISBN : 3709112222

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Book Description

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.



Dynamics, Strength of Materials and Durability in Multiscale Mechanics

Author : Francesco dell'Isola

Publisher : Springer Nature

Page : 403 pages

File Size : 28,9 MB

Release : 2020-11-01

Category : Science

ISBN : 3030537552

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Book Description

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



Non-Classical Continuum Mechanics

Author : Gérard A. Maugin

Publisher : Springer

Page : 268 pages

File Size : 26,32 MB

Release : 2016-09-24

Category : Science

ISBN : 9811024340

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Book Description

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.



Discrete and Continuum Models for Complex Metamaterials

Author : Francesco dell'Isola

Publisher : Cambridge University Press

Page : 409 pages

File Size : 16,97 MB

Release : 2020-03-12

Category : Science

ISBN : 1107087732

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Book Description

Explores the relationship between discrete and continuum mechanics as a tool to model new and complex metamaterials. Including a comprehensive bibliography and historical review of the field, and a pedagogical mathematical treatment, it is ideal for graduate students and researchers in mechanical and civil engineering, and materials science.



Advances in Mechanics of Microstructured Media and Structures

Author : Francesco dell'Isola

Publisher : Springer

Page : 368 pages

File Size : 48,38 MB

Release : 2018-02-27

Category : Science

ISBN : 3319736949

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Book Description

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.