Generalized Continua As Models For Materials

Author : Gérard A. Maugin
Publisher : Springer Science & Business Media
ISBN 13 : 1441956956
Total Pages : 337 pages
Book Rating : 4.58/5 ( download)

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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.

Author : Holm Altenbach
Publisher : Springer
ISBN 13 : 3319317210
Total Pages : 457 pages
Book Rating : 4.12/5 ( download)

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Download or read book Generalized Continua as Models for Classical and Advanced Materials written by Holm Altenbach and published by Springer. This book was released on 2016-04-15 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Holm Altenbach
Publisher : Springer Science & Business Media
ISBN 13 : 3642363946
Total Pages : 336 pages
Book Rating : 4.48/5 ( download)

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Download or read book Generalized Continua as Models for Materials written by Holm Altenbach and published by Springer Science & Business Media. This book was released on 2014-07-08 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Holm Altenbach
Publisher : Springer Science & Business Media
ISBN 13 : 3709113717
Total Pages : 403 pages
Book Rating : 4.14/5 ( download)

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Download or read book Generalized Continua - from the Theory to Engineering Applications written by Holm Altenbach and published by Springer Science & Business Media. This book was released on 2012-10-17 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Holm Altenbach
Publisher : Springer Nature
ISBN 13 : 303030406X
Total Pages : 231 pages
Book Rating : 4.65/5 ( download)

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Download or read book Higher Gradient Materials and Related Generalized Continua written by Holm Altenbach and published by Springer Nature. This book was released on 2019-11-04 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Holm Altenbach
Publisher : Springer Science & Business Media
ISBN 13 : 364219219X
Total Pages : 355 pages
Book Rating : 4.97/5 ( download)

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Download or read book Mechanics of Generalized Continua written by Holm Altenbach and published by Springer Science & Business Media. This book was released on 2011-04-02 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Holm Altenbach
Publisher : Springer Nature
ISBN 13 : 3031261860
Total Pages : 781 pages
Book Rating : 4.62/5 ( download)

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Download or read book Sixty Shades of Generalized Continua written by Holm Altenbach and published by Springer Nature. This book was released on 2023-02-13 with total page 781 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Holm Altenbach
Publisher : Springer
ISBN 13 : 3319724401
Total Pages : 760 pages
Book Rating : 4.09/5 ( download)

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Download or read book Generalized Models and Non-classical Approaches in Complex Materials 1 written by Holm Altenbach and published by Springer. This book was released on 2018-03-24 with total page 760 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : D. Iesan
Publisher : Springer Science & Business Media
ISBN 13 : 1402023103
Total Pages : 309 pages
Book Rating : 4.01/5 ( download)

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Download or read book Thermoelastic Models of Continua written by D. Iesan and published by Springer Science & Business Media. This book was released on 2013-03-19 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Holm Altenbach
Publisher : Springer Nature
ISBN 13 : 3030303551
Total Pages : 505 pages
Book Rating : 4.56/5 ( download)

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Download or read book State of the Art and Future Trends in Material Modeling written by Holm Altenbach and published by Springer Nature. This book was released on 2019-10-23 with total page 505 pages. Available in PDF, EPUB and Kindle. Book excerpt: This special anniversary book celebrates the success of this Springer book series highlighting materials modeling as the key to developing new engineering products and applications. In this 100th volume of “Advanced Structured Materials”, international experts showcase the current state of the art and future trends in materials modeling, which is essential in order to fulfill the demanding requirements of next-generation engineering tasks.