Foundations Of Micropolar Mechanics
Download Foundations Of Micropolar Mechanics full books in PDF, epub, and Kindle. Read online free Foundations Of Micropolar Mechanics ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
| Author | : Victor A. Eremeyev |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 145 |
| Release | : 2012-07-25 |
| Genre | : Science |
| ISBN | : 3642283535 |
The book presents foundations of the micropolar continuum mechanics including a short but comprehensive introduction of stress and strain measures, derivation of motion equations and discussion of the difference between Cosserat and classical (Cauchy) continua, and the discussion of more specific problems related to the constitutive modeling, i.e. constitutive inequalities, symmetry groups, acceleration waves, etc.
| Author | : Cemal Eringen |
| Publisher | : Springer |
| Total Pages | : 108 |
| Release | : 2014-05-04 |
| Genre | : Science |
| ISBN | : 3709129044 |
| Author | : A. Cemal Eringen |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 336 |
| Release | : 2012-12-06 |
| Genre | : Science |
| ISBN | : 1461205557 |
Microcontinuum field theories extend classical field theories to microscopic spaces and short time scales. This volume is concerned with the kinematics of microcontinua. It begins with a discussion of strain, stress tensors, balance laws, and constitutive equations, and then discusses applications of the fundamental ideas to the theory of elasticity. The ideas developed here are important in modeling the fluid or elastic properties of porous media, polymers, liquid crystals, slurries, and composite materials.
| Author | : Ioannis Vardoulakis (Deceased) |
| Publisher | : Springer |
| Total Pages | : 183 |
| Release | : 2018-08-01 |
| Genre | : Science |
| ISBN | : 3319951564 |
This textbook explores the theory of Cosserat continuum mechanics, and covers fundamental tools, general laws and major models, as well as applications to the mechanics of granular media. While classical continuum mechanics is based on the axiom that the stress tensor is symmetric, theories such as that expressed in the seminal work of the brothers Eugène and François Cosserat are characterized by a non-symmetric stress tensor. The use of von Mises motor mechanics is introduced, for the compact mathematical description of the mechanics and statics of Cosserat continua, as the Cosserat continuum is a manifold of oriented “rigid particles” with 3 dofs of displacement and 3 dofs of rotation, rather than a manifold of points with 3 dofs of displacement. Here, the analysis is restricted to infinitesimal particle displacements and rotations. This book is intended as a valuable supplement to standard Continuum Mechanics courses, and graduate students as well as researchers in mechanics and applied mathematics will benefit from its self-contained text, which is enriched by numerous examples and exercises.
| 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.
| Author | : Martin Ostoja-Starzewski |
| Publisher | : CRC Press |
| Total Pages | : 500 |
| Release | : 2007-08-13 |
| Genre | : Mathematics |
| ISBN | : 1420010271 |
An area at the intersection of solid mechanics, materials science, and stochastic mathematics, mechanics of materials often necessitates a stochastic approach to grasp the effects of spatial randomness. Using this approach, Microstructural Randomness and Scaling in Mechanics of Materials explores numerous stochastic models and methods used in the m
| Author | : Grzegorz Lukaszewicz |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 262 |
| Release | : 2012-12-06 |
| Genre | : Technology & Engineering |
| ISBN | : 1461206413 |
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.
| Author | : Antonio Romano |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 353 |
| Release | : 2010-07-23 |
| Genre | : Science |
| ISBN | : 0817648704 |
This book offers a broad overview of the potential of continuum mechanics to describe a wide range of macroscopic phenomena in real-world problems. Building on the fundamentals presented in the authors’ previous book, Continuum Mechanics using Mathematica®, this new work explores interesting models of continuum mechanics, with an emphasis on exploring the flexibility of their applications in a wide variety of fields.
| Author | : Witold Nowacki |
| Publisher | : Pergamon |
| Total Pages | : 402 |
| Release | : 1986 |
| Genre | : Science |
| ISBN | : |
| Author | : Wojciech Pietraszkiewicz |
| Publisher | : CRC Press |
| Total Pages | : 942 |
| Release | : 2017-10-30 |
| Genre | : Technology & Engineering |
| ISBN | : 1351680471 |
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.
