Vortex Processes and Solid Body Dynamics

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Publisher : Springer Science & Business Media
ISBN 13 : 9401110387
Total Pages : 311 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Vortex Processes and Solid Body Dynamics by : B. Rabinovich

Download or read book Vortex Processes and Solid Body Dynamics written by B. Rabinovich and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: ... a wise man knows all things in a manner in which this is possible, not, however, knowing them individually. Aristotle. Metaphysics * The problem of consideration of vortex fields' influence on solid body dynamics has a long history. One constantly comes upon it in flight dynamics of airplanes, helicopters, and other flying vehicles (FV) moving in the atmosphere, in dynamics of ships with hydrofoils, and in dynamics of rocket carriers (RC) and spacecrafts (SC) with liquid-propellant rocket engines (LPRE), that are equipped with special damping devices and other structural elements inside fluid tanks. Similar problems occur when solving problems related to attitude control and stabilization of artificial Earth satellites (AES) and spacecrafts with magnetic (electro magnetic) systems, in conducting elements of which eddy currents are induced while control of those vehicles' angular position. It is also true with special test facilities for dynamic testing of space vehicles and their systems, with modern high-speed magnetic suspension transport systems (those based on the phenomenon of 'magnetic levitation'), with generators having rotors carried in 'magnetic bearings', and so on.

Methods of Fracture Mechanics: Solid Matter Physics

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Publisher : Springer Science & Business Media
ISBN 13 : 9401722625
Total Pages : 334 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Methods of Fracture Mechanics: Solid Matter Physics by : G.P. Cherepanov

Download or read book Methods of Fracture Mechanics: Solid Matter Physics written by G.P. Cherepanov and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern fracture mechanics considers phenomena at many levels, macro and micro; it is therefore inextricably linked to methods of theoretical and mathematical physics. This book introduces these sophisticated methods in a straightforward manner. The methods are applied to several important phenomena of solid state physics which impinge on fracture mechanics: adhesion, defect nucleation and growth, dislocation emission, sintering, the electron beam effect and fractal cracks. The book shows how the mathematical models for such processes may be set up, and how the equations so formulated may be solved and interpreted. The many open problems which are encountered will provide topics for MSc and PhD theses in fracture mechanics, and in theoretical and experimental physics. As a supplementary text, the book can be used in graduate level courses on fracture mechanics, solid matter physics, and mechanics of solids, or in a special course on the application of fracture mechanics methods in solid matter physics.

IUTAM Symposium on Dynamics of Slender Vortices

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Publisher : Springer Science & Business Media
ISBN 13 : 9401150427
Total Pages : 473 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis IUTAM Symposium on Dynamics of Slender Vortices by : Egon Krause

Download or read book IUTAM Symposium on Dynamics of Slender Vortices written by Egon Krause and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 473 pages. Available in PDF, EPUB and Kindle. Book excerpt: The decision of the General Assembly of the International Union of Theoretical and Applied Mechanics to organize a Symposium on Dynamics of Slender Vortices was greeted with great enthusiasm. The acceptance of the proposal, forwarded by the Deutsches Komitee fiir Mechanik (DEKOMECH) signalized, that there was a need for discussing the topic chosen in the frame the IUTAM Symposia offer. Also the location of the symposium was suitably chosen: It was decided to hold the symposium at the RWTH Aachen, where, years ago, Theodore von Karman had worked on problems related to those to be discussed now anew. It was clear from the beginning of the planning, that the symposium could only be held in the von Karman-Auditorium ofthe Rheinisch-Westfalische Technische Hochschule Aachen, a building named after him. The symposium was jointly organized by the editors of this volume, strongly supported by the local organizing committee. The invitations of the scientific committee brought together scientists actively engaged in research on the dynamics of slender vortices. It was the aim of the committee to have the state of the art summarized and also to have the latest results of specific problems investigated communicated to the participants of the symposium. The topics chosen were asymptotic theories, numerical methods, vor tices in shear layers, interaction of vortices, vortex breakdown, vortex sound, and aircraft and helicopter vortices.

IUTAM Symposium on Elementary Vortices and Coherent Structures: Significance in Turbulence Dynamics

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Publisher : Springer Science & Business Media
ISBN 13 : 1402041810
Total Pages : 376 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis IUTAM Symposium on Elementary Vortices and Coherent Structures: Significance in Turbulence Dynamics by : Shigeo Kida

Download or read book IUTAM Symposium on Elementary Vortices and Coherent Structures: Significance in Turbulence Dynamics written by Shigeo Kida and published by Springer Science & Business Media. This book was released on 2006-05-05 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elementary vortices – those tubular swirling vortical structures with concentrated vorticity commonly observed in various kinds of turbulent flows – play key roles in turbulence dynamics (e.g. enhancement of mixing, diffusion and resistance) and characterize turbulence statistics (e.g. intermittency). Because of their dynamical importance, manipulation of elementary vortices is expected to be effective and useful in turbulence control as well as in construction of turbulence modeling. The most advanced research works on elementary vortices and related problems were presented and discussed at the IUTAM Symposium in Kyoto, Japan, 26-28 October 2004. This book contains 40 contributions presented there, the subjects of which cover vortex dynamics, coherent structures, chaotic advection and mixing, statistical properties of turbulence, rotating and stratified turbulence, instability and transition, dynamics of thin vortices, finite-time singularity, and superfluid turbulence. The book should be useful for readers of graduate and advanced levels in the field of fluid turbulence.

IUTAM Symposium on Discretization Methods in Structural Mechanics

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Publisher : Springer Science & Business Media
ISBN 13 : 940114589X
Total Pages : 387 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis IUTAM Symposium on Discretization Methods in Structural Mechanics by : H.A. Mang

Download or read book IUTAM Symposium on Discretization Methods in Structural Mechanics written by H.A. Mang and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 387 pages. Available in PDF, EPUB and Kindle. Book excerpt: The JUT AMlIACM Symposium on Discretization Methods in Structural Mechanics was nd th held in Vienna, Austria, from 2 to 6 June 1997. The site of the Symposium was the "Theatersaal" of the Austrian Academy of Sciences. The Symposium was attended by 71 persons from 23 countries. In addition, several Austrian graduate students and research associates participated in the meeting. In the 5-day Symposium a total of 48 papers were presented. All of them were invited and accorded equal weight in the programme. The following topics were covered: • Error-controlled adaptivity of finite element methods • Large deformations and buckling, including inelastic deformations • Inelastic brittle or ductile localization, phase transition and system failure, resulting from monotonic, cyclic or impact loading • Sensitivity analysis and inverse problems with special emphasis on identification of material parameters • Development of linear and nonlinear finite element methods for thin-walled structures and composites • Implicit integration schemes for nonlinear dynamics • Coupling of rigid and deformable structures; fluid-structures and acoustic-structure interaction • Competitive numerical methods (finite element methods, boundary element methods, coupling ofthese two methods) • Identification of material and structural data. Comments on details of the treatment of these topics are contained in the Concluding Remarks. The Editors would like to express their appreciation to E. Stein who has prepared these Concluding Remarks.

Direct Methods for Solving the Boltzmann Equation and Study of Nonequilibrium Flows

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Publisher : Springer Science & Business Media
ISBN 13 : 9401008663
Total Pages : 305 pages
Book Rating : 4.4/5 (1 download)

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Book Synopsis Direct Methods for Solving the Boltzmann Equation and Study of Nonequilibrium Flows by : V.V. Aristov

Download or read book Direct Methods for Solving the Boltzmann Equation and Study of Nonequilibrium Flows written by V.V. Aristov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is concerned with the methods of solving the nonlinear Boltz mann equation and of investigating its possibilities for describing some aerodynamic and physical problems. This monograph is a sequel to the book 'Numerical direct solutions of the kinetic Boltzmann equation' (in Russian) which was written with F. G. Tcheremissine and published by the Computing Center of the Russian Academy of Sciences some years ago. The main purposes of these two books are almost similar, namely, the study of nonequilibrium gas flows on the basis of direct integration of the kinetic equations. Nevertheless, there are some new aspects in the way this topic is treated in the present monograph. In particular, attention is paid to the advantages of the Boltzmann equation as a tool for considering nonequi librium, nonlinear processes. New fields of application of the Boltzmann equation are also described. Solutions of some problems are obtained with higher accuracy. Numerical procedures, such as parallel computing, are in vestigated for the first time. The structure and the contents of the present book have some com mon features with the monograph mentioned above, although there are new issues concerning the mathematical apparatus developed so that the Boltzmann equation can be applied for new physical problems. Because of this some chapters have been rewritten and checked again and some new chapters have been added.

Probabilistic Methods for Structural Design

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Publisher : Springer Science & Business Media
ISBN 13 : 940115614X
Total Pages : 411 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Probabilistic Methods for Structural Design by : Carlos Guedes Soares

Download or read book Probabilistic Methods for Structural Design written by Carlos Guedes Soares and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains contributions from various authors on different important topics related with probabilistic methods used for the design of structures. Initially several of the papers were prepared for advanced courses on structural reliability or on probabilistic methods for structural design. These courses have been held in different countries and have been given by different groups of lecturers. They were aimed at engineers and researchers who already had some exposure to structural reliability methods and thus they presented overviews of the work in the various topics. The book includes a selection of those contributions, which can be of support for future courses or for engineers and researchers that want to have an update on specific topics. It is considered a complement to the existing textbooks on structural reliability, which normally ensure the coverage of the basic topics but then are not extensive enough to cover some more specialised aspects. In addition to the contributions drawn from those lectures there are several papers that have been prepared specifically for this book, aiming at complementing the others in providing an overall account of the recent advances in the field. It is with sadness that in the meanwhile we have seen the disappearance of two of the contributors to the book and, in fact two of the early contributors to this field.

Fracture Mechanics

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Publisher : Springer Science & Business Media
ISBN 13 : 9781402028632
Total Pages : 404 pages
Book Rating : 4.0/5 (286 download)

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Book Synopsis Fracture Mechanics by : E.E. Gdoutos

Download or read book Fracture Mechanics written by E.E. Gdoutos and published by Springer Science & Business Media. This book was released on 2005-02-15 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: New developments in the applications of fracture mechanics to engineering problems have taken place in the last years. Composite materials have extensively been used in engineering problems. Quasi-brittle materials including concrete, cement pastes, rock, soil, etc. all benefit from these developments. Layered materials and especially thin film/substrate systems are becoming important in small volume systems used in micro and nanoelectromechancial systems (MEMS and NEMS). Nanostructured materials are being introduced in our every day life. In all these problems fracture mechanics plays a major role for the prediction of failure and safe design of materials and structures. These new challenges motivated the author to proceed with the second edition of the book. The second edition of the book contains four new chapters in addition to the ten chapters of the first edition. The fourteen chapters of the book cover the basic principles and traditional applications, as well as the latest developments of fracture mechanics as applied to problems of composite materials, thin films, nanoindentation and cementitious materials. Thus the book provides an introductory coverage of the traditional and contemporary applications of fracture mechanics in problems of utmost technological importance. With the addition of the four new chapters the book presents a comprehensive treatment of fracture mechanics. It includes the basic principles and traditional applications as well as the new frontiers of research of fracture mechanics during the last three decades in topics of contemporary importance, like composites, thin films, nanoindentation and cementitious materials. The book contains fifty example problems and more than two hundred unsolved problems. A "Solutions Manual" is available upon request for course instructors from the author.

IUTAM Symposium on Nonlinearity and Stochastic Structural Dynamics

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Publisher : Springer Science & Business Media
ISBN 13 : 9780792367338
Total Pages : 360 pages
Book Rating : 4.3/5 (673 download)

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Book Synopsis IUTAM Symposium on Nonlinearity and Stochastic Structural Dynamics by : S Narayanan

Download or read book IUTAM Symposium on Nonlinearity and Stochastic Structural Dynamics written by S Narayanan and published by Springer Science & Business Media. This book was released on 2001-01-31 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinearity and stochastic structural dynamics is of common interest to engineers and applied scientists belonging to many disciplines. Recent research in this area has been concentrated on the response and stability of nonlinear mechanical and structural systems subjected to random escitation. Simultaneously the focus of research has also been directed towards understanding intrinsic nonlinear phenomena like bifurcation and chaos in deterministic systems. These problems demand a high degree of sophistication in the analytical and numerical approaches. At the same time they arise from considerations of nonlinear system response to turbulence, earthquacke, wind, wave and guidancy excitations. The topic thus attracts votaries of both analytical rigour and practical applications. This books gives important and latest developments in the field presenting in a coherent fashion the research findings of leading international groups working in the area of nonlinear random vibration and chaos.

IUTAM Symposium on Advances in Mathematical Modelling of Atmosphere and Ocean Dynamics

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Publisher : Springer Science & Business Media
ISBN 13 : 9401007926
Total Pages : 311 pages
Book Rating : 4.4/5 (1 download)

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Book Synopsis IUTAM Symposium on Advances in Mathematical Modelling of Atmosphere and Ocean Dynamics by : P.F. Hodnett

Download or read book IUTAM Symposium on Advances in Mathematical Modelling of Atmosphere and Ocean Dynamics written by P.F. Hodnett and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goals ofthe Symposium were to highlight advances in modelling ofatmosphere and ocean dynamics, to provide a forum where atmosphere and ocean scientists could present their latest research results and learn ofprogress and promising ideas in these allied disciplines; to facilitate interaction between theory and applications in atmosphere/ocean dynamics. These goals were seen to be especially important in view ofcurrent efforts to model climate requiring models which include interaction between atmosphere, ocean and land influences. Participants were delighted with the diversity ofthe scientific programme; the opportunity to meet fellow scientists from the other discipline (either atmosphere or ocean) with whom they do not normally interact through their own discipline; the opportunity to meet scientists from many countries other than their own; the opportunity to hear significant presentations (50 minutes) from the keynote speakers on a range ofrelevant topics. Certainly the goal ofcreating a forum for exchange between atmosphere and ocean scientists who need to input to create realistic models for climate prediction was achieved by the Symposium and this goal will hopefully be further advanced by the publication ofthese Proceedings.

IUTAM Symposium on Mechanics of Passive and Active Flow Control

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Publisher : Springer Science & Business Media
ISBN 13 : 9401141991
Total Pages : 397 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis IUTAM Symposium on Mechanics of Passive and Active Flow Control by : G.E.A. Meier

Download or read book IUTAM Symposium on Mechanics of Passive and Active Flow Control written by G.E.A. Meier and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: The call for papers for the rUTAM-Symposium on Mechanics of Passive and Active Flow Control brought an overwhelming response of applications for contributions. Fi nally 12 invited lectures, 48 papers and 23 posters were selected by thc Scientific Com mittee to be presented in the conference. 58 papers are published in this volume. Due to the limited number of pages available, poster presentations could not be considered for publication. The editors would like to thank all the members of the Scientific Committee for their very valuable assistance. The papers presented at the rUT AM Symposium were classified under three groups de voted to • Passive Control Methods, • Active Control Methods and • Control Concepts. This was done to contrast at first between the passive techniques where the control power is mainly supplied by the flow itself and the active techniques where the power is pro vided by external sources; the third group was devoted to control concepts for presenting methods of control theory and new techniques of flow control.

Fluid Vortices

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Publisher : Springer Science & Business Media
ISBN 13 : 940110249X
Total Pages : 905 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Fluid Vortices by : Sheldon Green

Download or read book Fluid Vortices written by Sheldon Green and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 905 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fluid Vortices is a comprehensive, up-to-date, research-level overview covering all salient flows in which fluid vortices play a significant role. The various chapters have been written by specialists from North America, Europe and Asia, making for unsurpassed depth and breadth of coverage. Topics addressed include fundamental vortex flows (mixing layer vortices, vortex rings, wake vortices, vortex stability, etc.), industrial and environmental vortex flows (aero-propulsion system vortices, vortex-structure interaction, atmospheric vortices, computational methods with vortices, etc.), and multiphase vortex flows (free-surface effects, vortex cavitation, and bubble and particle interactions with vortices). The book can also be recommended as an advanced graduate-level supplementary textbook. The first nine chapters of the book are suitable for a one-term course; chapters 10--19 form the basis for a second one-term course.

Nonlinear Dynamics and Chaotic Phenomena

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Publisher : Springer Science & Business Media
ISBN 13 : 9401724423
Total Pages : 415 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Nonlinear Dynamics and Chaotic Phenomena by : B.K Shivamoggi

Download or read book Nonlinear Dynamics and Chaotic Phenomena written by B.K Shivamoggi and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: FolJowing the formulation of the laws of mechanics by Newton, Lagrange sought to clarify and emphasize their geometrical character. Poincare and Liapunov successfuIJy developed analytical mechanics further along these lines. In this approach, one represents the evolution of all possible states (positions and momenta) by the flow in phase space, or more efficiently, by mappings on manifolds with a symplectic geometry, and tries to understand qualitative features of this problem, rather than solving it explicitly. One important outcome of this line of inquiry is the discovery that vastly different physical systems can actually be abstracted to a few universal forms, like Mandelbrot's fractal and Smale's horse-shoe map, even though the underlying processes are not completely understood. This, of course, implies that much of the observed diversity is only apparent and arises from different ways of looking at the same system. Thus, modern nonlinear dynamics 1 is very much akin to classical thermodynamics in that the ideas and results appear to be applicable to vastly different physical systems. Chaos theory, which occupies a central place in modem nonlinear dynamics, refers to a deterministic development with chaotic outcome. Computers have contributed considerably to progress in chaos theory via impressive complex graphics. However, this approach lacks organization and therefore does not afford complete insight into the underlying complex dynamical behavior. This dynamical behavior mandates concepts and methods from such areas of mathematics and physics as nonlinear differential equations, bifurcation theory, Hamiltonian dynamics, number theory, topology, fractals, and others.

IUTAM Symposium on Asymptotics, Singularities and Homogenisation in Problems of Mechanics

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Publisher : Springer
ISBN 13 : 1402026048
Total Pages : 609 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis IUTAM Symposium on Asymptotics, Singularities and Homogenisation in Problems of Mechanics by : A.B. Movchan

Download or read book IUTAM Symposium on Asymptotics, Singularities and Homogenisation in Problems of Mechanics written by A.B. Movchan and published by Springer. This book was released on 2006-05-09 with total page 609 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the IUTAM Symposium held in Liverpool, UK, 8-11 July 2002

Advances in the Mechanics of Plates and Shells

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Publisher : Springer Science & Business Media
ISBN 13 : 0306469545
Total Pages : 376 pages
Book Rating : 4.3/5 (64 download)

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Book Synopsis Advances in the Mechanics of Plates and Shells by : D. Durban

Download or read book Advances in the Mechanics of Plates and Shells written by D. Durban and published by Springer Science & Business Media. This book was released on 2006-04-11 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: The optimal control of flexible structures is an active area of research. The main body of work in this area is concerned with the control of time-dependent displacements and stresses, and assumes linear elastic conditions, namely linear elastic material behavior and small defor- tion. See, e. g. , [1]–[3], the collections of papers [4, 5], and references therein. On the other hand, in the present paper we consider the static optimal control of a structure made of a nonlinear elastic material and und- going large deformation. An important application is the suppression of static or quasi-static elastic deformation in flexible space structures such as parts of satellites by the use of control loads [6]. Solar rad- tion and radiation from other sources induce a temperature field in the structure, which in turn generates an elastic displacement field. The displacements must usually satisfy certain limitations dictated by the allowed working conditions of various orientation-sensitive instruments and antennas in the space vehicle. For example, a parabolic reflector may cease to be effective when undergoing large deflection. The elastic deformation can be reduced by use of control loads, which may be imp- mented via mechanically-based actuators or more modern piezoelectric devices. When the structure under consideration is made of a rubb- like material and is undergoing large deformation, nonlinear material and geometric effects must be taken into account in the analysis.

IUTAM Symposium on Analytical and Computational Fracture Mechanics of Non-Homogeneous Materials

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Publisher : Springer Science & Business Media
ISBN 13 : 9781402005107
Total Pages : 536 pages
Book Rating : 4.0/5 (51 download)

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Book Synopsis IUTAM Symposium on Analytical and Computational Fracture Mechanics of Non-Homogeneous Materials by : Bhushan L. Karihaloo

Download or read book IUTAM Symposium on Analytical and Computational Fracture Mechanics of Non-Homogeneous Materials written by Bhushan L. Karihaloo and published by Springer Science & Business Media. This book was released on 2002-04-30 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume constitutes the Proceedings of the IUTAM Symposium on "Analytical and Computational Fracture Mechanics of Non-homogeneous Materials", held in Cardiff from 18th to 22nd June 2001. The Symposium was convened to address and place on record topical issues in analytical and computational aspects of the fracture of non-homogeneous materials as they are approached by specialists in mechanics, materials science and related fields. The expertise represented in the Symposium was accordingly very wide, and many of the world's greatest authorities in their respective fields participated. Given the extensive range and scale of non-homogeneous materials, it had to be focussed to enhance the quality and impact of the Symposium. The range of non-homogeneous materials was limited to those that are inhomogeneous at the macroscopic level and/or exhibit strain softening. The issues of micro to macro scaling were not excluded even within this restricted range which covered materials such as rock, concrete, ceramics and composites on the one hand, and, on the other, those metallic materials whose ductile fracture is strongly influenced by the presence of inhomogeneities. The Symposium remained focussed on fundamental research issues of practical significance. These issues have many common features among seemingly disparate non-homogeneous materials.

An Informal Introduction to Turbulence

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Publisher : Springer Science & Business Media
ISBN 13 : 030648384X
Total Pages : 344 pages
Book Rating : 4.3/5 (64 download)

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Book Synopsis An Informal Introduction to Turbulence by : A. Tsinober

Download or read book An Informal Introduction to Turbulence written by A. Tsinober and published by Springer Science & Business Media. This book was released on 2006-04-11 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: To Turbulence by ARKADY TSINOBER Department of Fluid Mechanics, Faculty of Engineering, Tel Aviv University, Tel Aviv, Israel KLUWER ACADEMIC PUBLISHERS NEW YORK, BOSTON, DORDRECHT, LONDON, MOSCOW eBookISBN: 0-306-48384-X Print ISBN: 1-4020-0110-X ©2004 Kluwer Academic Publishers NewYork, Boston, Dordrecht, London, Moscow Print ©2001 Kluwer Academic Publishers Dordrecht All rights reserved No part of this eBook maybe reproducedor transmitted inanyform or byanymeans, electronic, mechanical, recording, or otherwise, without written consent from the Publisher Created in the United States of America Visit Kluwer Online at: http://kluweronline. com and Kluwer's eBookstoreat: http://ebooks. kluweronline. com TO My WITS TABLE OF CONTENTS 1 INTRODUCTION 1 Brief history 1 1. 1 1. 2 Nature and major qualitative universal features of turbulent flows 2 1. 2. 1 Representative examples of turbulent flows 2 1. 2. 2 In lieu of definition: major qualitative universal f- tures of turbulent flows 15 1. 3 Why turbulence is so impossibly difficult? The three N's 19 On the Navier-Stokes equations 19 1. 3. 1 1. 3. 2 On the nature of the problem 21 1. 3. 3 Nonlinearity 22 1. 3. 4 Noninegrability 22 Nonlocality 1. 3. 5 23 1. 3. 6 On physics of turbulence 24 1. 3. 7 On statistical theories 24 1. 4 Outline of the following material 25 1. 5 In lieu of summary 26 2 ORIGINS OF TURBULENCE 27 2. 1 Instability 27 2. 2 Transition to turbulence versus routes to chaos 29 2.