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This volume presents an integrated approach of the common fundamentals of rail and road vehicles based on multibody system dynamics, rolling wheel contact and control system design. The mathematical methods presented allow an efficient and reliable analysis of the resulting state equations, and may also be used to review simulation results from commercial vehicle dynamics software. The book provides also a better understanding of the basic physical phenomena of vehicle dynamics most important for the engineering practice in research and in industry. Particular attention will be paid to developments of future rail and road vehicles including motorcycles.

Engineering. --- Automotive Engineering. --- Ingénierie --- Motor vehicles --- Dynamics. --- Dynamics --- Mathematical models. --- Automatic control. --- Construction --- Industrial arts --- Technology --- Automotive engineering.

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The latest state of simulation techniques to model plasticity and fracture in crystalline materials on the nano- and microscale is presented. Discrete dislocation mechanics and the neighbouring fields molecular dynamics and crystal plasticity are central parts. The physical phenomena, the theoretical basics, their mathematical description and the simulation techniques are introduced and important problems from the formation of dislocation structures to fatigue and fracture from the nano- to microscale as well as it’s impact on the macro behaviour are considered.

Engineering. --- Continuum Mechanics and Mechanics of Materials. --- Appl.Mathematics/Computational Methods of Engineering. --- Mathematical Methods in Physics. --- Mathematical physics. --- Engineering mathematics. --- Materials. --- Ingénierie --- Physique mathématique --- Mathématiques de l'ingénieur --- Matériaux --- Plasticity --- Fracture mechanics --- Mathematical models --- Fracture mechanics -- Mathematical models. --- Fracture mechanics. --- Mathematical models. --- Plasticity -- Mathematical models. --- Plasticity. --- Engineering & Applied Sciences --- Chemical & Materials Engineering --- Applied Mathematics --- Materials Science --- Crystals --- Plastic properties --- Physics. --- Applied mathematics. --- Continuum mechanics. --- Mechanical engineering. --- Mechanical Engineering. --- Crystallography --- Powders --- Solids --- Mechanics. --- Mechanics, Applied. --- Solid Mechanics. --- Mathematical and Computational Engineering. --- Physical mathematics --- Physics --- Engineering --- Engineering analysis --- Mathematical analysis --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Classical mechanics --- Newtonian mechanics --- Dynamics --- Quantum theory --- Machinery --- Steam engineering --- Mathematics --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Plasticity - Mathematical models --- Fracture mechanics - Mathematical models --- Solids. --- Mathematical and Computational Engineering Applications. --- Data processing. --- Solid state physics --- Transparent solids

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The book provides a comprehensive, detailed and self-contained treatment of the fundamental mathematical properties of boundary-value problems related to the Navier-Stokes equations. These properties  include existence, uniqueness and regularity of solutions in bounded as well as unbounded domains. Whenever the domain is unbounded, the asymptotic behavior of solutions  is also investigated. This book is the new edition of the original two volume book, under the same title, published in 1994. In this new edition, the two volumes have merged into one and two more chapters on steady generalized oseen flow in exterior domains and steady Navier–Stokes flow in three-dimensional exterior domains have been added. Most of the proofs given in the previous edition were also updated. An introductory first chapter describes all relevant questions treated in the book and lists and motivates a number of significant and still open questions. It is written in an expository style so as to be accessible also to  non-specialists. Each chapter is preceded by a substantial, preliminary discussion of the problems treated, along with their motivation and the strategy used to solve them. Also, each chapter ends with a section dedicated to alternative approaches and procedures, as well as historical notes. The book contains more than 400 stimulating exercises, at different levels of difficulty, that will help the junior researcher and the graduate student to gradually become accustomed with the subject. Finally, the book is endowed with a vast bibliography that includes more than 500 items. Each item brings a reference to the section of the book where it is cited.   The book will be useful to researchers and graduate students in mathematics in particular mathematical fluid mechanics and differential equations.   Review of First Edition, First Volume: “The emphasis of this book is on an introduction to the mathematical theory of the stationary Navier-Stokes equations. It is written in the style of a textbook and is essentially self-contained. The problems are presented clearly and in an accessible manner. Every chapter begins with a good introductory discussion of the problems considered, and ends with interesting notes on different approaches developed in the literature. Further, stimulating exercises are proposed. (Mathematical Reviews, 1995).

Partial differential equations --- Differential equations --- Mathematics --- Fluid mechanics --- differentiaalvergelijkingen --- toegepaste wiskunde --- ingenieurswetenschappen --- vloeistoffen --- Ecology - Mathematical models --- Diffusion - Mathematical models --- Biogeography - Mathematical models --- Biogeography --- Diffusion --- Ecology --- Mathematical models. --- 519.8 --- 51-76 --- 681.3*J3 --- 681.3*J3 Life and medical sciences (Computer applications) --- Life and medical sciences (Computer applications) --- 51-76 Mathematics--?-76 --- Mathematics--?-76 --- 519.8 Operational research --- Operational research --- Partial differential equations. --- Fluid mechanics. --- Applied mathematics. --- Engineering mathematics. --- Differential equations. --- Partial Differential Equations. --- Engineering Fluid Dynamics. --- Applications of Mathematics. --- Ordinary Differential Equations. --- Navier-Stokes equations. --- Lebesgue integral. --- Boundary value problems.

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International Federation for Information Processing The IFIP series publishes state-of-the-art results in the sciences and technologies of information and communication. The scope of the series includes: foundations of computer science; software theory and practice; education; computer applications in technology; communication systems; systems modeling and optimization; information systems; computers and society; computer systems technology; security and protection in information processing systems; artificial intelligence; and human-computer interaction. Proceedings and post-proceedings of refereed international conferences in computer science and interdisciplinary fields are featured. These results often precede journal publication and represent the most current research. The principal aim of the IFIP series is to encourage education and the dissemination and exchange of information about all aspects of computing. For more information about the 300 other books in the IFIP series, please visit www.springer.com. For more information about IFIP, please visit www.ifip.org.

Computer architecture. Operating systems --- Information systems --- Computer. Automation --- informatica --- OS (operating system) --- Probabilities --- Particles --- Measure theory --- Measure theory. --- Particles. --- Probabilities. --- Population genetics --- Mathematical models.

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Various types of composites are used in engineering practice. The most important are fibrous compositesy laminates and materials with a more complicated geometry of reinforcement in the form of short fibres and particles of various properties^ shapes and sizes. The aim of course was to understand the basic principles of damage growth and fracture processes in ceramic, polymer and metal matrix composites. Nowadays, it is widely recognized that important macroscopic properties like the macroscopic stiffness and strength, are governed by processes that occur at one to several scales below the level of observation. Understanding how these processes infiuence the reduction of stiffness and strength is essential for the analysis of existing and the design of improved composite materials. The study of how these various length scales can be linked together or taken into account simultaneously is particular attractive for composite materials, since they have a well-defined structure at the micro and meso-levels. Moreover, the microstructural and mesostructural levels are well-defined: the microstructural level can be associated with small particles or fibres, while the individual laminae can be indentified at the mesoscopic level. For this reason, advances in multiscale modelling and analysis made here, pertain directly to classes of materials which either have a range of relevant microstructural scales, such as metals, or do not have a very we- defined microstructure, e.g. cementitious composites. In particular, the fracture mechanics and optimization techniques for the design of polymer composite laminates against the delamination type of failure was discussed.

Engineering. --- Continuum Mechanics and Mechanics of Materials. --- Numerical and Computational Methods in Engineering. --- Materials. --- Ingénierie --- Matériaux --- Composite materials -- Fracture -- Mathematical models. --- Composite materials -- Mechanical properties -- Mathematical models. --- Fracture mechanics -- Mathematical models. --- Multiscale modeling. --- Composite materials --- Fracture mechanics --- Multiscale modeling --- Chemical & Materials Engineering --- Engineering & Applied Sciences --- Materials Science --- Applied Mathematics --- Mathematical models --- Fracture --- Mechanical properties --- Mathematical models. --- Multi-scale modeling --- Multiscale models --- Composites (Materials) --- Multiphase materials --- Reinforced solids --- Solids, Reinforced --- Two phase materials --- Computational intelligence. --- Continuum mechanics. --- Computational Intelligence. --- Mechanics of continua --- Elasticity --- Mechanics, Analytic --- Field theory (Physics) --- Intelligence, Computational --- Artificial intelligence --- Soft computing --- Construction --- Industrial arts --- Technology --- Multivariate analysis --- Materials --- Mechanics. --- Mechanics, Applied. --- Solid Mechanics. --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory