Geometry, continua and microstructure

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Publisher : Editions Hermann
ISBN 13 :
Total Pages : 162 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Geometry, continua and microstructure by : Gérard A. Maugin

Download or read book Geometry, continua and microstructure written by Gérard A. Maugin and published by Editions Hermann. This book was released on 1999 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Disarrangements in Continua and the Geometry of Microstructure

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Publisher :
ISBN 13 :
Total Pages : 15 pages
Book Rating : 4.:/5 (546 download)

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Book Synopsis Disarrangements in Continua and the Geometry of Microstructure by : David R. Owen

Download or read book Disarrangements in Continua and the Geometry of Microstructure written by David R. Owen and published by . This book was released on 1994 with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "The term 'disarrangement' is proposed here to describe geometrical changes either at the macroscale or at the microscale that are not accounted for by the classical deformations employed in continuum mechanics. Collections of non-classical deformations studied by Del Piero and Owen (1993) are then described in order to give a more precise context for the term 'disarrangement'. Examples of disarrangements both at the microscale and at the macroscale are presented, including disarrangements in liquid crystals, metallic crystals, and mixtures of continua. It is shown that volume-preserving deformations that are limits of discrete translations in crystallographically preferred directions necessarily are 'piecewise-shearing deformations'."

Proceedings of the International Seminar on "Geometry, Continua and Microstructure"

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Publisher :
ISBN 13 :
Total Pages : 100 pages
Book Rating : 4.:/5 (248 download)

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Book Synopsis Proceedings of the International Seminar on "Geometry, Continua and Microstructure" by : International Seminar on Geometry, Continua and Microstructure

Download or read book Proceedings of the International Seminar on "Geometry, Continua and Microstructure" written by International Seminar on Geometry, Continua and Microstructure and published by . This book was released on 2000 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Differential Geometry and Continuum Mechanics

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Publisher : Springer
ISBN 13 : 331918573X
Total Pages : 384 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Differential Geometry and Continuum Mechanics by : Gui-Qiang G. Chen

Download or read book Differential Geometry and Continuum Mechanics written by Gui-Qiang G. Chen and published by Springer. This book was released on 2015-08-11 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book examines the exciting interface between differential geometry and continuum mechanics, now recognised as being of increasing technological significance. Topics discussed include isometric embeddings in differential geometry and the relation with microstructure in nonlinear elasticity, the use of manifolds in the description of microstructure in continuum mechanics, experimental measurement of microstructure, defects, dislocations, surface energies, and nematic liquid crystals. Compensated compactness in partial differential equations is also treated. The volume is intended for specialists and non-specialists in pure and applied geometry, continuum mechanics, theoretical physics, materials and engineering sciences, and partial differential equations. It will also be of interest to postdoctoral scientists and advanced postgraduate research students. These proceedings include revised written versions of the majority of papers presented by leading experts at the ICMS Edinburgh Workshop on Differential Geometry and Continuum Mechanics held in June 2013. All papers have been peer reviewed.

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.

Proceedings of the Second International Seminar on Geometry, Continua, and Microstructure, Getafe, Madrid, Spain, June 8-10, 1998

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Publisher :
ISBN 13 :
Total Pages : 148 pages
Book Rating : 4.:/5 (437 download)

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Book Synopsis Proceedings of the Second International Seminar on Geometry, Continua, and Microstructure, Getafe, Madrid, Spain, June 8-10, 1998 by : L. A. Ibort

Download or read book Proceedings of the Second International Seminar on Geometry, Continua, and Microstructure, Getafe, Madrid, Spain, June 8-10, 1998 written by L. A. Ibort and published by . This book was released on 1999 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Advances in Extended and Multifield Theories for Continua

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Publisher : Springer Science & Business Media
ISBN 13 : 3642227384
Total Pages : 231 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Advances in Extended and Multifield Theories for Continua by : Bernd Markert

Download or read book Advances in Extended and Multifield Theories for Continua written by Bernd Markert and published by Springer Science & Business Media. This book was released on 2011-07-15 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Generalized Continua and Dislocation Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 3709112222
Total Pages : 323 pages
Book Rating : 4.7/5 (91 download)

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Book Synopsis Generalized Continua and Dislocation Theory by : Carlo Sansour

Download or read book Generalized Continua and Dislocation Theory written by Carlo Sansour and published by Springer Science & Business Media. This book was released on 2012-05-27 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Continuum Models And Discrete Systems - Proceedings Of The Eighth International Symposium

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Publisher : World Scientific
ISBN 13 : 9814548154
Total Pages : 682 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Continuum Models And Discrete Systems - Proceedings Of The Eighth International Symposium by : Konstantin Z Markov

Download or read book Continuum Models And Discrete Systems - Proceedings Of The Eighth International Symposium written by Konstantin Z Markov and published by World Scientific. This book was released on 1996-01-15 with total page 682 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this symposium is to bring together scientists working on continuum theories of discrete mechanical and thermodynamical systems in the realm of mathematics, theoretical and applied mechanics, physics, material science and engineering. It aims to join together the divergent languages, questions and methods developed in the respective disciplines and to stimulate broad interdisciplinary exchange of ideas and results. The main topics, discussed in the lectures, concern thermodynamics, transport theory, statistical mechanics; continuum mechanics of complex fluids and deformable solids with microstructure; continuum theory of living structures; defect dynamics, synergetics, solitons, coherent structures; dislocations and plasticity; fundamentals of fracture mechanics.

Continua with Microstructure

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Publisher : Springer Science & Business Media
ISBN 13 : 1461235847
Total Pages : 103 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Continua with Microstructure by : Gianfranco Capriz

Download or read book Continua with Microstructure written by Gianfranco Capriz and published by Springer Science & Business Media. This book was released on 2013-03-07 with total page 103 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book proposes a new general setting for theories of bodies with microstructure when they are described within the scheme of the con tinuum: besides the usual fields of classical thermomechanics (dis placement, stress, temperature, etc.) some new fields enter the picture (order parameters, microstress, etc.). The book can be used in a semester course for students who have already followed lectures on the classical theory of continua and is intended as an introduction to special topics: materials with voids, liquid crystals, meromorphic con tinua. In fact, the content is essentially that of a series of lectures given in 1986 at the Scuola Estiva di Fisica Matematica in Ravello (Italy). I would like to thank the Scientific Committee of the Gruppo di Fisica Matematica of the Italian National Council of Research (CNR) for the invitation to teach in the School. I also thank the Committee for Mathematics of CNR and the National Science Foundation: they have supported my research over many years and given me the opportunity to study the topics presented in this book, in particular through a USA-Italy program initiated by Professor Clifford A. Truesdell. My interest in the field dates back to a period of collaboration with Paolo Podio-Guidugli and some of the basic ideas came up during our discussions.

Proceedings of the Second International Seminar on Geometry, Continua and Microstructure

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Publisher :
ISBN 13 :
Total Pages : 7 pages
Book Rating : 4.:/5 (112 download)

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Book Synopsis Proceedings of the Second International Seminar on Geometry, Continua and Microstructure by : Luis Alberto Ibort

Download or read book Proceedings of the Second International Seminar on Geometry, Continua and Microstructure written by Luis Alberto Ibort and published by . This book was released on 1996 with total page 7 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Generalized Continuum Mechanics and Engineering Applications

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Publisher : Elsevier
ISBN 13 : 0081004672
Total Pages : 148 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 148 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

Geometry Continua and Microstructures 2008

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (749 download)

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Book Synopsis Geometry Continua and Microstructures 2008 by :

Download or read book Geometry Continua and Microstructures 2008 written by and published by . This book was released on 2009 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Universality of Nonclassical Nonlinearity

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Publisher : Springer Science & Business Media
ISBN 13 : 038735851X
Total Pages : 535 pages
Book Rating : 4.3/5 (873 download)

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Book Synopsis Universality of Nonclassical Nonlinearity by : Pier Paolo Delsanto

Download or read book Universality of Nonclassical Nonlinearity written by Pier Paolo Delsanto and published by Springer Science & Business Media. This book was released on 2006-12-13 with total page 535 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the results of two major international research projects on phenomenology, theory and applications of Nonclassical Nonlinearity. It conveys concepts, experimental techniques and applications which were previously found in specialized journals. It also allows for an interdisciplinary audience to better understand the range of practical applications, and is timely and interesting to both researchers and professionals.

Continuous Media with Microstructure 2

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Publisher : Springer
ISBN 13 : 3319282417
Total Pages : 416 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Continuous Media with Microstructure 2 by : Bettina Albers

Download or read book Continuous Media with Microstructure 2 written by Bettina Albers and published by Springer. This book was released on 2016-02-09 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents research advances in the field of Continuous Media with Microstructure and considers the three complementary pillars of mechanical sciences: theory, research and computational simulation. It focuses on the following problems: thermodynamic and mathematical modeling of materials with extensions of classical constitutive laws, single and multicomponent media including modern multifunctional materials, wave propagation, multiscale and multiphysics processes, phase transformations, and porous, granular and composite materials. The book presents the proceedings of the 2nd Conference on Continuous Media with Microstructure, which was held in 2015 in Łagów, Poland, in memory of Prof. Krzysztof Wilmański.

Non-Classical Continuum Mechanics

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Publisher : Springer
ISBN 13 : 9811024340
Total Pages : 268 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 268 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.

Mechanics of Microstructured Solids

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Publisher : Springer Science & Business Media
ISBN 13 : 3642009115
Total Pages : 133 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Mechanics of Microstructured Solids by : J.-F. Ganghoffer

Download or read book Mechanics of Microstructured Solids written by J.-F. Ganghoffer and published by Springer Science & Business Media. This book was released on 2009-05-14 with total page 133 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a compendium of reviewed articles presented at the 11th EUROMECH-MECAMAT conference entitled, "Mechancis of microstructured solids: cellular materials, fibre reinforced solids and soft tissues." It provides all the latest information in the field.