Generalized Continua as Models for Materials
Generalized Continua as Models for Materials

Author: Holm Altenbach

Publisher: Springer Science & Business Media

Published: 2014-07-08

Total Pages: 336

ISBN-13: 3642363946

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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

Mechanics of Generalized Continua
Mechanics of Generalized Continua

Author: Gérard A. Maugin

Publisher: Springer Science & Business Media

Published: 2010-03-24

Total Pages: 337

ISBN-13: 1441956956

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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 as Models for Classical and Advanced Materials
Generalized Continua as Models for Classical and Advanced Materials

Author: Holm Altenbach

Publisher: Springer

Published: 2016-04-15

Total Pages: 456

ISBN-13: 3319317210

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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

Advanced Methods of Continuum Mechanics for Materials and Structures
Advanced Methods of Continuum Mechanics for Materials and Structures

Author: Konstantin Naumenko

Publisher: Springer

Published: 2016-05-12

Total Pages: 555

ISBN-13: 9811009597

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This volume presents a collection of contributions on advanced approaches of continuum mechanics, which were written to celebrate the 60th birthday of Prof. Holm Altenbach. The contributions are on topics related to the theoretical foundations for the analysis of rods, shells and three-dimensional solids, formulation of constitutive models for advanced materials, as well as development of new approaches to the modeling of damage and fractures.

Thermoelastic Models of Continua
Thermoelastic Models of Continua

Author: D. Iesan

Publisher: Springer Science & Business Media

Published: 2013-03-19

Total Pages: 309

ISBN-13: 1402023103

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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.

Higher Gradient Materials and Related Generalized Continua
Higher Gradient Materials and Related Generalized Continua

Author: Holm Altenbach

Publisher: Springer Nature

Published: 2019-11-04

Total Pages: 246

ISBN-13: 303030406X

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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.

Generalized Models and Non-classical Approaches in Complex Materials 2
Generalized Models and Non-classical Approaches in Complex Materials 2

Author: Holm Altenbach

Publisher: Springer

Published: 2018-06-26

Total Pages: 335

ISBN-13: 3319775049

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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.

Generalized Models and Non-classical Approaches in Complex Materials 1
Generalized Models and Non-classical Approaches in Complex Materials 1

Author: Holm Altenbach

Publisher: Springer

Published: 2018-03-24

Total Pages: 799

ISBN-13: 3319724401

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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 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 endeavors, options for identifying 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

Author: Holm Altenbach

Publisher: Springer Nature

Published: 2023-02-13

Total Pages: 781

ISBN-13: 3031261860

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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.

Constitutive Modelling of Granular Materials
Constitutive Modelling of Granular Materials

Author: Dimitrios Kolymbas

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 558

ISBN-13: 3642570186

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In view of its extreme complexity the mathematical description of the mechanical behaviour of granular materials is an extremely difficult task. Today many different models compete with each other. However, the complexity of the models hinders their comparison, and the potential users are confused and, often, disencouraged. This book is expected to serve as a milestone in the present situation, to evaluate the present methodes, to clear up the situation, to focus and encourage for further research activities.