Generalized Continua As Models For Classical And Advanced Materials
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| Author | : Holm Altenbach |
| Publisher | : Springer |
| Total Pages | : 456 |
| Release | : 2016-04-15 |
| Genre | : Science |
| ISBN | : 3319317210 |
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 |
| Total Pages | : 336 |
| Release | : 2014-07-08 |
| Genre | : Science |
| ISBN | : 3642363946 |
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 Nature |
| Total Pages | : 231 |
| Release | : 2019-11-04 |
| Genre | : Technology & Engineering |
| ISBN | : 303030406X |
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 |
| Total Pages | : 403 |
| Release | : 2012-10-17 |
| Genre | : Science |
| ISBN | : 3709113717 |
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 |
| Total Pages | : 335 |
| Release | : 2018-06-26 |
| Genre | : Science |
| ISBN | : 3319775049 |
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.
| Author | : Holm Altenbach |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 355 |
| Release | : 2011-04-02 |
| Genre | : Technology & Engineering |
| ISBN | : 364219219X |
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 | : Francesco dell'Isola |
| Publisher | : Springer Nature |
| Total Pages | : 403 |
| Release | : 2020-11-01 |
| Genre | : Science |
| ISBN | : 3030537552 |
This book reviews the mathematical modeling and experimental study of systems involving two or more different length scales. The effects of phenomena occurring at the lower length scales on the behavior at higher scales are of intrinsic scientific interest, but can also be very effectively used to determine the behavior at higher length scales or at the macro-level. Efforts to exploit this micro- and macro-coupling are, naturally, being pursued with regard to every aspect of mechanical phenomena. This book focuses on the changes imposed on the dynamics, strength of materials and durability of mechanical systems by related multiscale phenomena. In particular, it addresses: 1: the impacts of effective dissipation due to kinetic energy trapped at lower scales 2: wave propagation in generalized continua 3: nonlinear phenomena in metamaterials 4: the formalization of more general models to describe the exotic behavior of meta-materials 5: the design and study of microstructures aimed at increasing the toughness and durability of novel materials
| Author | : Holm Altenbach |
| Publisher | : Springer Nature |
| Total Pages | : 781 |
| Release | : 2023-02-13 |
| Genre | : Science |
| ISBN | : 3031261860 |
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 |
| Total Pages | : 352 |
| Release | : 2012-03-14 |
| Genre | : Technology & Engineering |
| ISBN | : 9783642192203 |
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 |
| Total Pages | : 799 |
| Release | : 2018-03-24 |
| Genre | : Science |
| ISBN | : 3319724401 |
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.
