Structural Models of Micropolar Media
| Author | : Kurt Berglund |
| Publisher | : |
| Total Pages | : 90 |
| Release | : 1979 |
| Genre | : |
| ISBN | : |
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Mechanics Of Micropolar Media
| Author | : Olof Brulin |
| Publisher | : World Scientific |
| Total Pages | : 486 |
| Release | : 1982-01-01 |
| Genre | : Science |
| ISBN | : 9814350907 |
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This book is essentially made up of the lecture notes delivered by seven authors at the International Centre for Mechanical Sciences in Udine in June 1979. It attempts to provide an up-to-date and concise summary of the authors' understanding of micropolar materials. Both asymmetric elasticity and fluids are covered. The chapters range from the discussion of micropolar molecular models to the analysis of structure models, from linear to nonlinear theories and from electromagnetic, thermal, viscous effects to lattice defects. The subjects are treated from both theoretical and experimental points of view. Students with physics, mathematics and mechanical backgrounds as well as professionals will find this treatise useful for study and reference.
Structural Modeling of Metamaterials
| Author | : Vladimir I. Erofeev |
| Publisher | : Springer Nature |
| Total Pages | : 222 |
| Release | : 2020-11-13 |
| Genre | : Technology & Engineering |
| ISBN | : 303060330X |
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This book discusses the theoretical foundations of the structural modeling method applied to metamaterials. This method takes into account the parameters of the crystal lattice, the size of the medium particles, as well as their shape and constants of force interactions between them. It provides mathematical models of metamaterials that offer insights into the qualitative influence of the local structure on the effective elastic moduli of the considered medium and into performing theoretical estimations of these quantities. This book is useful for researchers working in the fields of solid mechanics, physical acoustics, and condensed matter physics, as well as for graduate and postgraduate students studying mathematical modeling methods.
Generalized Models and Non-classical Approaches in Complex Materials 1
| Author | : Holm Altenbach |
| Publisher | : Springer |
| Total Pages | : 799 |
| Release | : 2018-03-24 |
| Genre | : Science |
| ISBN | : 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.
Generalized Models and Non-classical Approaches in Complex Materials 2
| Author | : Holm Altenbach |
| Publisher | : Springer |
| Total Pages | : 328 |
| Release | : 2018-06-26 |
| Genre | : Science |
| ISBN | : 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 Continua as Models for Classical and Advanced Materials
| Author | : Holm Altenbach |
| Publisher | : Springer |
| Total Pages | : 456 |
| Release | : 2016-04-15 |
| Genre | : Science |
| ISBN | : 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
Advances in Mechanics of Microstructured Media and Structures
| Author | : Francesco dell'Isola |
| Publisher | : Springer |
| Total Pages | : 368 |
| Release | : 2018-02-27 |
| Genre | : Science |
| ISBN | : 3319736949 |
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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 focus is on wave propagation, stability problems, homogenization, and relations between discrete and continuous models.
Micropolar Fluids
| Author | : Grzegorz Lukaszewicz |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 262 |
| Release | : 2012-12-06 |
| Genre | : Technology & Engineering |
| ISBN | : 1461206413 |
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Micropolar fluids are fluids with microstructure. They belong to a class of fluids with nonsymmetric stress tensor that we shall call polar fluids, and include, as a special case, the well-established Navier-Stokes model of classical fluids that we shall call ordinary fluids. Physically, micropolar fluids may represent fluids consisting of rigid, randomly oriented (or spherical) particles suspended in a viscous medium, where the deformation of fluid particles is ignored. The model of micropolar fluids introduced in [65] by C. A. Eringen is worth studying as a very well balanced one. First, it is a well-founded and significant generalization of the classical Navier-Stokes model, covering, both in theory and applications, many more phenomena than the classical one. Moreover, it is elegant and not too complicated, in other words, man ageable to both mathematicians who study its theory and physicists and engineers who apply it. The main aim of this book is to present the theory of micropolar fluids, in particular its mathematical theory, to a wide range of readers. The book also presents two applications of micropolar fluids, one in the theory of lubrication and the other in the theory of porous media, as well as several exact solutions of particular problems and a numerical method. We took pains to make the presentation both clear and uniform.
Higher Gradient Materials and Related Generalized Continua
| Author | : Holm Altenbach |
| Publisher | : Springer Nature |
| Total Pages | : 231 |
| Release | : 2019-11-04 |
| Genre | : Technology & Engineering |
| ISBN | : 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.
Shell Structures: Theory and Applications Volume 4
| Author | : Wojciech Pietraszkiewicz |
| Publisher | : CRC Press |
| Total Pages | : 574 |
| Release | : 2017-10-30 |
| Genre | : Technology & Engineering |
| ISBN | : 135168048X |
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Shells are basic structural elements of modern technology and everyday life. Examples of shell structures in technology include automobile bodies, water and oil tanks, pipelines, silos, wind turbine towers, and nanotubes. Nature is full of living shells such as leaves of trees, blooming flowers, seashells, cell membranes or wings of insects. In the human body arteries, the eye shell, the diaphragm, the skin and the pericardium are all shells as well. Shell Structures: Theory and Applications, Volume 4 contains 132 contributions presented at the 11th Conference on Shell Structures: Theory and Applications (Gdansk, Poland, 11-13 October 2017). The papers reflect a wide spectrum of scientific and engineering problems from theoretical modelling through strength, stability and dynamic behaviour, numerical analyses, biomechanic applications up to engineering design of shell structures. Shell Structures: Theory and Applications, Volume 4 will be of interest to academics, researchers, designers and engineers dealing with modelling and analyses of shell structures. It may also provide supplementary reading to graduate students in Civil, Mechanical, Naval and Aerospace Engineering.
