Generalized Continua As Models For Materials


Generalized Continua As Models For Materials
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Generalized Continua As Models For Materials


Generalized Continua As Models For Materials
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Author : Holm Altenbach
language : en
Publisher: Springer Science & Business Media
Release Date : 2014-07-08

Generalized Continua As Models For Materials written by Holm Altenbach and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-08 with Science categories.


This volume presents contributions describing the micro- and macro-behaviours, new existence and uniqueness theorems, the formulation of multi-scale problems, etc. and now it is time to ponder again the state of matter and to discuss new trends and applications. The main focus is directed on the following items - Modelling and simulation of materials with significant microstructure, - Generalized continua as a result of multi-scale models, - Multi-field actions on materials resulting in generalized material models, and - Comparison with discrete modelling approaches



Generalized Continua As Models For Classical And Advanced Materials


Generalized Continua As Models For Classical And Advanced Materials
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Author : Holm Altenbach
language : en
Publisher: Springer
Release Date : 2016-04-15

Generalized Continua As Models For Classical And Advanced Materials written by Holm Altenbach and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-15 with Science categories.


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



Generalized Continua From The Theory To Engineering Applications


Generalized Continua From The Theory To Engineering Applications
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Author : Holm Altenbach
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-10-17

Generalized Continua From The Theory To Engineering Applications written by Holm Altenbach and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-10-17 with Science categories.


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.



Higher Gradient Materials And Related Generalized Continua


Higher Gradient Materials And Related Generalized Continua
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Author : Holm Altenbach
language : en
Publisher: Springer Nature
Release Date : 2019-11-04

Higher Gradient Materials And Related Generalized Continua written by Holm Altenbach and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-04 with Technology & Engineering categories.


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.



Mechanics Of Generalized Continua


Mechanics Of Generalized Continua
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Author : Gérard A. Maugin
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-03-24

Mechanics Of Generalized Continua written by Gérard A. Maugin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-03-24 with Mathematics categories.


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


Mechanics Of Generalized Continua
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Author : Holm Altenbach
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-04-02

Mechanics Of Generalized Continua written by Holm Altenbach and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-04-02 with Technology & Engineering categories.


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.



Mechanics Of Generalized Continua


Mechanics Of Generalized Continua
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Author : Holm Altenbach
language : en
Publisher: Springer
Release Date : 2012-03-14

Mechanics Of Generalized Continua written by Holm Altenbach and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-03-14 with Technology & Engineering categories.


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.



Thermoelastic Models Of Continua


Thermoelastic Models Of Continua
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Author : D. Iesan
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-19

Thermoelastic Models Of Continua written by D. Iesan and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-19 with Science categories.


This volume is concerned with the basic problems of the theory of thermoelasticity for three models of continuous bodies: materials with voids, micropolar solids and nonsimple bodies. Beginning with the basic laws of thermodynamics, the theory of thermoelastic materials with voids is treated. Two subsequent chapters cover the analysis of the linear theory of micropolar thermoelastic bodies. The book concludes with a study of nonsimple thermoelastic materials, which are characterised by the inclusion of higher gradients of displacement in the basic postulates. Relevant examples and exercises which illustrate the theory are given throughout the text. The book should be of interest to mathematicians and specialists working in the fields of elasticity, thermoelasticity, civil engineering and geophysics.



Generalized Models And Non Classical Approaches In Complex Materials 2


Generalized Models And Non Classical Approaches In Complex Materials 2
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Author : Holm Altenbach
language : en
Publisher: Springer
Release Date : 2018-06-26

Generalized Models And Non Classical Approaches In Complex Materials 2 written by Holm Altenbach and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-06-26 with Science categories.


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 of subjects that were covered by this exceptional scientific leader. The topics range from micromechanical basics to engineering applications, focusing on new models and applications of well-known models to new problems. They include micro-macro aspects, computational efforts, possibilities to identify the constitutive equations, and old problems with incorrect or non-satisfying solutions based on the classical continua assumptions.



Sixty Shades Of Generalized Continua


Sixty Shades Of Generalized Continua
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Author : Holm Altenbach
language : en
Publisher: Springer Nature
Release Date : 2023-02-13

Sixty Shades Of Generalized Continua written by Holm Altenbach and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-02-13 with Science categories.


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.