Generalized Continuum Mechanics and Engineering Applications

Written By Angela Madeo
Generalized Continuum Mechanics and Engineering Applications
  • Publsiher : Elsevier
  • Release : 31 October 2015
  • ISBN : 0081004672
  • Pages : 146 pages
  • Rating : /5 from reviews
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Download or read book entitled Generalized Continuum Mechanics and Engineering Applications by author: Angela Madeo which was release on 31 October 2015 and published by Elsevier with total page 146 pages . This book available in PDF, EPUB and Kindle Format. 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 Continuum Mechanics and Engineering Applications

Generalized Continuum Mechanics and Engineering Applications
  • Author : Angela Madeo
  • Publisher : Elsevier
  • Release Date : 2015-10-31
  • Total pages : 146
  • ISBN : 0081004672
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Summary : 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 ...

Generalized Continua from the Theory to Engineering Applications

Generalized Continua   from the Theory to Engineering Applications
  • Author : Holm Altenbach,Victor A. Eremeyev
  • Publisher : Springer Science & Business Media
  • Release Date : 2012-10-17
  • Total pages : 387
  • ISBN : 0081004672
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Summary : 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 ...

Geometrical Foundations of Continuum Mechanics

Geometrical Foundations of Continuum Mechanics
  • Author : Paul Steinmann
  • Publisher : Springer
  • Release Date : 2015-03-25
  • Total pages : 517
  • ISBN : 0081004672
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Summary : This book illustrates the deep roots of the geometrically nonlinear kinematics of generalized continuum mechanics in differential geometry. Besides applications to first- order elasticity and elasto-plasticity an appreciation thereof is particularly illuminating for generalized models of continuum mechanics such as second-order (gradient-type) elasticity and elasto-plasticity. After a motivation that arises ...

Applications Of Tensor Analysis In Continuum Mechanics

Applications Of Tensor Analysis In Continuum Mechanics
  • Author : Michael J Cloud,Victor A Eremeyev,Leonid P Lebedev
  • Publisher : World Scientific
  • Release Date : 2018-07-10
  • Total pages : 428
  • ISBN : 0081004672
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Summary : 'A strong point of this book is its coverage of tensor theory, which is herein deemed both more readable and more substantial than many other historic continuum mechanics books. The book is self-contained. It serves admirably as a reference resource on fundamental principles and equations of tensor mathematics applied to ...

Variational Principles of Continuum Mechanics with Engineering Applications

Variational Principles of Continuum Mechanics with Engineering Applications
  • Author : V. Komkov
  • Publisher : Springer Science & Business Media
  • Release Date : 2012-12-06
  • Total pages : 400
  • ISBN : 0081004672
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Summary : 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 ...

Mechanics of Generalized Continua

Mechanics of Generalized Continua
  • Author : Gérard A. Maugin,Andrei V. Metrikine
  • Publisher : Springer Science & Business Media
  • Release Date : 2010-03-24
  • Total pages : 337
  • ISBN : 0081004672
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Summary : 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 ...

Generalized Continua from the Theory to Engineering Applications

Generalized Continua   from the Theory to Engineering Applications
  • Author : Holm Altenbach,Victor A. Eremeyev
  • Publisher : Springer Science & Business Media
  • Release Date : 2012-10-18
  • Total pages : 388
  • ISBN : 0081004672
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Summary : 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 ...

Higher Gradient Materials and Related Generalized Continua

Higher Gradient Materials and Related Generalized Continua
  • Author : Holm Altenbach,Wolfgang H. Müller,Bilen Emek Abali
  • Publisher : Springer Nature
  • Release Date : 2019-11-04
  • Total pages : 231
  • ISBN : 0081004672
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Summary : 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 ...

Continuum Mechanics Through the Eighteenth and Nineteenth Centuries

Continuum Mechanics Through the Eighteenth and Nineteenth Centuries
  • Author : Gérard A. Maugin
  • Publisher : Springer Science & Business Media
  • Release Date : 2014-04-04
  • Total pages : 269
  • ISBN : 0081004672
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Summary : Conceived as a series of more or less autonomous essays, the present book critically exposes the initial developments of continuum thermo-mechanics in a post Newtonian period extending from the creative works of the Bernoullis to the First World war, i.e., roughly during first the “Age of reason” and next ...

Advances in Mechanics of Microstructured Media and Structures

Advances in Mechanics of Microstructured Media and Structures
  • Author : Francesco dell'Isola,Victor A. Eremeyev,Alexey Porubov
  • Publisher : Springer
  • Release Date : 2018-03-28
  • Total pages : 369
  • ISBN : 0081004672
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Summary : 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 ...

Generalized Models and Non classical Approaches in Complex Materials 1

Generalized Models and Non classical Approaches in Complex Materials 1
  • Author : Holm Altenbach,Joël Pouget,Martine Rousseau,Bernard Collet,Thomas Michelitsch
  • Publisher : Springer
  • Release Date : 2018-03-24
  • Total pages : 760
  • ISBN : 0081004672
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Summary : This book is the first of 2 special volumes dedicated to the memory of Gérard Maugin. Including 40 papers that reflect his vast field of scientific activity, the contributions discuss non-standard methods (generalized model) to demonstrate the wide range of subjects that were covered by this exceptional scientific leader. The topics ...

Mechanics of Generalized Continua

Mechanics of Generalized Continua
  • Author : Holm Altenbach,Gérard A. Maugin,Vladimir Erofeev
  • Publisher : Springer Science & Business Media
  • Release Date : 2011-04-02
  • Total pages : 352
  • ISBN : 0081004672
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Summary : 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 ...

Non Classical Continuum Mechanics

Non Classical Continuum Mechanics
  • Author : Gérard A. Maugin
  • Publisher : Springer
  • Release Date : 2016-09-24
  • Total pages : 259
  • ISBN : 0081004672
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Summary : 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 ...

Continuum Mechanics through the Ages From the Renaissance to the Twentieth Century

Continuum Mechanics through the Ages   From the Renaissance to the Twentieth Century
  • Author : Gérard A. Maugin
  • Publisher : Springer
  • Release Date : 2015-11-19
  • Total pages : 306
  • ISBN : 0081004672
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Summary : Mixing scientific, historic and socio-economic vision, this unique book complements two previously published volumes on the history of continuum mechanics from this distinguished author. In this volume, Gérard A. Maugin looks at the period from the renaissance to the twentieth century and he includes an appraisal of the ever ...

Generalized Models and Non classical Approaches in Complex Materials 2

Generalized Models and Non classical Approaches in Complex Materials 2
  • Author : Holm Altenbach,Joël Pouget,Martine Rousseau,Bernard Collet,Thomas Michelitsch
  • Publisher : Springer
  • Release Date : 2018-06-26
  • Total pages : 328
  • ISBN : 0081004672
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Summary : This book is the 2nd special volume dedicated to the memory of Gérard Maugin. Over 30 leading scientists present their contribution to reflect the vast field of scientific activity of Gérard Maugin. The topics of contributions employing often non-standard methods (generalized model) in this volume show the wide range ...