At the VIIth International Congress on Rheology, which was held in Goteborg in 1976, Proceedings were for the first time printed in advance and distributed to all participants at the time of the Congress. Although of course we Italians would be foolish to even try to emulate our Swedish friends as far as efficiency of organization is concerned, we decided at the very beginning that, as far as the Proceedings were concerned, the VIIIth International Congress on Rheology in Naples would follow the standards of time liness set by the Swedish Society of Rheology. This book is the result we have obtained. We wish to acknowledge the cooperation of Plenum Press in producing it within the very tight time schedule available. Every four years, the International Congress on Rheology represents the focal point where all rheologists meet, and the state of the art is brought up to date for everybody interested; the Proceedings represent the written record of these milestones of scientific progress in rheology. We have tried to make use of the traditions of having invited lectures, and of leaving to the organizing committee the freedom to choose the lecturers as they see fit, in order to collect a group of invited lectures which gives as broad as possible a landscape of the state of the art in every relevant area of rheology. The seventeen invited lectures are collected in the first volume of the proceedings."

* Introduces a state-of-the-art method for the study of the asymptotic behavior of solutions to evolution partial differential equations.

* Written by established mathematicians at the forefront of their field, this blend of delicate analysis and broad application is ideal for a course or seminar in asymptotic analysis and nonlinear PDEs.

* Well-organized text with detailed index and bibliography, suitable as a course text or reference volume.

The aim of this book is to present pedestrian injuries from a biomechanical perspective. We aim to give a detailed treatment of the physics of pedestrian impact, as well as a review of the accident databases and the relevant injury criteria used to assess pedestrian injuries. A further focus will be the effects on injury outcome of (1) pedestrian/vehicle position and velocity at impact and (2) the influence of vehicle design on injury outcome. Most of the content of this book has been published by these and other authors in various journals, but this book will provide a comprehensive treatment of the biomechanics of pedestrian impacts for the first time. It will therefore be of value to new and established researchers alike.

This book addresses the task of computation from the standpoint of asymptotic analysis and multiple scales that may be inherent in the system dynamics being studied. This is in contrast to the usual methods of numerical analysis and computation. The technical literature is replete with numerical methods such as Runge-Kutta approach and its variations, finite element methods, and so on. However, not much attention has been given to asymptotic methods for computation, although such approaches have been widely applied with great success in the analysis of dynamic systems. The presence of different scales in a dynamic phenomenon enable us to make judicious use of them in developing computational approaches which are highly efficient. Many such applications have been developed in such areas as astrodynamics, fluid mechanics and so on. This book presents a novel approach to make use of the different time constants inherent in the system to develop rapid computational methods. First, the fundamental notions of asymptotic analysis are presented with classical examples. Next, the novel systematic and rigorous approaches of system decomposition and reduced order models are presented. Next, the technique of multiple scales is discussed. Finally application to rapid computation of several aerospace systems is discussed, demonstrating the high efficiency of such methods.

The Second Conference of the International Society of Hemorheology took place under the auspices of the University of Heidelberg from July 27 - August 1,1969 in Heidel berg. At this conference the name of the Society was changed to THE INTERNA TIONAL SOCIETY OF BIORHEOLOGY, since the members decided to enlarge the scope of the Society to include all fields of biorheology. Meanwhile the Society has become an Affiliated Commission of the International Union of Pure and Applied Biophysics. The abstracts of the scientific papers, as they appeared in the program of the Confe rence, have been reprinted in BIORHEOLOGY (volume 6, No.4, April 1970). This international journal has become the official organ of our Society. We are greatly indebted to the Honorary Chairman, Professor G. QUADBECK, Dean of the University of Heidelberg Medical School, who gave substantial aid to one of us (H. H. H.), the Conference Chairman, in organizing this international meeting. We are grateful to the Mayor of the City of Heidelberg who welcomed the participants and their families in the Cellar of the Great Barrel of the Heidelberger SchloB. We thank the members of the Ladies' Committee, Mrs. IRMGARD QUADBECK, Mrs. ELISABETH HARTERT and Mrs. KARIN KREITER, who arranged a most successful social program in Heidelberg and the romantic Neckar valley."

The IUTAM-Symposium on "Finite Inelastic Deformations - Theory and Applications" took place from August 19 to 23, 1991, at the University of Hannover, Germany, with 75 participants from 14 countries. Scope of the symposium was a fundamental treatment of new developments in plasticity and visco-plasticity at finite strains. This covered the phenomenological material theory based on continuum mechanics as well as the treatment of microstructural phenomena detected by precise experimental datas. In a restricted number, lectures on new experi mental facilities for measuring finite strains were also implemented into the symposium. Another important topic of the symposium was the treatment of reliable and effective computational methods for solving engineering problems with finite inelastic strains. Wi thin this context it was an essential feature that theory, numerical and computational analysis were be seen in an integrated way. In total 9 sessions with 37 lectures, many of them given by well known keynote-lecturers, and a poster session with 10 contributions met fully our expectations of a high ranking up-to-date forum for the interaction of four topics, namely the physical and mathematical modelling of finite strain inelastic deformations including localizations and damage as well as the achievements in the numerical analysis and implementation and the solution of complicated engineering systems. Special and important features were reliable material datas from macroscopic and microscopic tests as well as test results of complex engineering problems, like deep drawing and extrusion."

This book contains a collection of papers presented at the Europe-US Symposium on Finite Element Methods for Nonlinear Problems. The symposium was held at the Norwegian Institute of Technology, Trondheim, Norway during August 12 to 16, 1985. The finite element method has during recent years gained a position as the most important discipline in computational mechanics. The basis for this method was laid out about two decades ago, and linear finite element techniques are today well established and well understood. Much work is still being done in order to make these linear methods more efficient and reliable. However, a sub stantial part of the current research efforts in the finite element field is focused on developing the nonlinear capabilities of the method. This task is highly challenging and demanding, both from a theoretical and practical point of view. It was in this spirit that the Europe-US Symposium on Finite Element Methods for Nonlinear Problems was organized. The meeting may be seen as the continuation of the US-Germany Symposium on Finite Element Methods held in 1976 at MIT, Cambridge, USA and the Europe- US Workshop on Nonlinear Finite Element Analysis in Structural Mechanics held in 1980 at the Ruhr-Universitat, Bochum, West-Germany."

This special volume contains several articles written in honour of Professor IngolfTeipel on the occasion of his 65th birthday. Professor Teipel was born on March 15th, 1933 in Wissen/Sieg. He started his school career in Betzdorf/Sieg. From 1943 to 1951 he went to the Gymnasium in Betzdorf, where he obtained his school-leaving exam after only 8 years. In 1951 Professor Teipel started his studies in Mechanical Engineering at the Technical University of Aachen and got his diploma at the Aerodynamic Institute in 1956. Then Professor Teipel decided to join the research group of the Institute of Theoretical Gasdynamics at the Deutsche Versuchsanstalt fiir Luft und Raumfahrt (DVL), the famous institute of Professor Oswatitsch, where he spent about 13 years until 1968. At the Technical University of Aachen he finished his dissertation devoted to spherical-symmetric shock waves and he obtained his doctorate in Mechanical Engineering in 1960. Some years later he went as a guest scientist to the Aerospace Laboratories of Dayton, Ohio, USA. In 1965 Professor Teipel fmished his habilitation work with a paper on unsteady transonic pressure forces at the Technical University of Aachen, where he recieved the venia legendi in fluid mechanics. In this year, Professor Teipel was given the freedom of the state Tennessee, USA."

Although realistic soil and rock foundations reveal noticeable deviations in their properties from homogeneity and isotropy, the model of the homogeneous isotropie elastic half-space is widely used when studying static and dynamie interactions between a defonnable foundation and structures. This is explained by significant mathematieal difficulties inherent in problems conceming mechanies of anisotropie and heterogeneous elastic bodies. Solving the basic static and dynamie problems for heterogeneous and anisotropic half-spaces, such as different contact problems and problems of constructing Green's functions, has become possible in the last few decades due to the development of computer engineering techniques and numerical methods. This book contains the results of investigations in the area of statics and dynamies of heterogeneous and anisotropic foundations, carried out by the author in the last five years while working in the Faculty of Civil Engineering at Technion - Israel Institute of Technology. The book is directed at engineers and scientists in the areas of soil mechanics, soil-structures interaction, seismology and geophysics. Some characteristic features of the book are: i) Constructing (Chap.l) solutions in a general fonn for the heterogeneous (in the depth direction) transversely isotropic elastic half-space subjected to different loadings, hannonic in time. Characteristics of the given half-space have an influence on functions (of depth z and parameter k of Hankel's transfonns), which are detennined from a system of ordinary differential equations.

In view of its extreme complexity the mathematical description of the mechanical behaviour of granular materials is an extremely difficult task. Today many different models compete with each other. However, the complexity of the models hinders their comparison, and the potential users are confused and, often, disencouraged. This book is expected to serve as a milestone in the present situation, to evaluate the present methodes, to clear up the situation, to focus and encourage for further research activities.

* Good reference text; clusters well with other Birkhauser integral equations & integral methods books (Estrada and Kanwal, Kythe/Puri, Constanda, et al). * Includes many practical applications/techniques for applied mathematicians, physicists, engineers, grad students. * The contributors to the volume draw from a number of physical domains and propose diverse treatments for various mathematical models through the use of integration as an essential solution tool. * Physically meaningful problems in areas related to finite and boundary element techniques, conservation laws, hybrid approaches, ordinary and partial differential equations, and vortex methods are explored in a rigorous, accessible manner. * The new results provided are a good starting point for future exploitation of the interdisciplinary potential of integration as a unifying methodology for the investigation of mathematical models.

This text provides the reader with a unique insight into the finite element method, along with symbolic programing that fundamentally changes the way applications can be developed. It is an essential tool for undergraduate or early postgraduate courses as well as an excellent reference book for engineers and scientists who want to quickly develop finite-element programs. The use of symbolic computation in Maple system delivers new benefits in the analysis and understanding of the finite element method.

The IUTAM Symposium on "Non-Linear Singularities in Defonnation and Flow" took place from March 17 to 21, 1997, at the Technion in Haifa, Israel, with 70 participants from 12 countries. The leitmotif of this Symposium brought together scientists working on singularity-dominated local fields in various branches of continuum mechanics, covering traditional solid and liquid behaviour as well as that of more complex non-linear materials; non-linearities arise either from the constitutive equations for the material or from the presence of interfaces or both. The scientific committee invited speakers who presented 34 papers in 12 sessions. Topics covered in the lectures included near tip fields of cracks, notches and wedges; flow around comers, wedges and cones; interfacial phenomena; moving contact lines in multiphase systems; cusps in fluid interfaces and shocks and localization. There was a general consensus among the participants that singularities induced by non-linearities provide a challenging and currently important area of research in mechanics, engineering and applied mathematics. Presentation and discussions during the symposium initiated further studies of problems in these interesting areas. This volume contains 30 full length papers, submitted by the lecturers after the symposium and reviewed to the standards of international scientific periodicals. It is our pleasure to acknowledge the efficient and tireless help of Mrs. Alice Goodman and Mr. Gideon Wachsman of the Faculty of Aerospace Engineering at the Technion. David Durban Anthony Pearson Haifa Cambridge April 1998 IX International Scientific Committee C. Atkinson (UK) G. I. Barenblatt (USA) H. -c.

This volume contains selected presentations of the IUTAM Symposium on Combustion in Supersonic Flows' held in Poitiers at the Ecole Nationale Superieure de Mecanique et d'Aerotechnique (ENSMA) from 2 to 6 October 1995. The presentations focus on four main topics related to combustion in supersonic streams and practical issues relevant to the development of new propulsion systems: fundamental studies of premixed and unpremixed combustion, fluid dynamics aspects of supersonic combustion, practical systems including Scramjet, Ramaccelerators and Pulsed Detonation Engines, and the application of detonation to propulsion. Important progress has been made in the understanding of local mechanisms which allow combustion to be stabilized in a supersonic flow; in particular, various mechanisms controlled by mixing, chemical kinetics, viscous heating and shock waves are now well identified. Despite the difficulty of developing experimental work on supersonic combustion, a good set of experimental data is now available, allowing validation of theoretical analysis and models. The main aspects of modelling of turbulent combustion in high speed flows were discussed, including the influence of turbulent fluctuations on the chemistry-controlled phase of combustion and the applicability of flamelet models to high speed flows. The full range of numerical approaches is covered including Direct Numerical Simulation, Large Eddy Simulation, k-epsilon and shock tracking methods. A considerable effort has been made to generalize these methods to the treatment of supersonic reactive flows and to develop new numerical methods taking into account the most recent theoretical work and a better understanding of the underlying physics."

The emergence of civil aviation as a means of mass transportation is primarily due to the large scale construction of jet airplanes in the past 30 years or so. A large number of these jet airplanes is currently operating at or beyond their designed fatigue lives. Thus, the structural integrity of these aging airplanes has become an issue of major concern to all nations of the world. To bring the needed technical and research focus on the issues involved in the life-enhancement and safety-assurance of aging airplanes, the Federal Aviation Administration sponsored a symposium in Atlanta, GA, USA, during 20-22 March 1990. This symposium, under the title "International Symposium on Structural Integrity of Aging Airplanes. was organized jointly be the Georgia Institute of Technology (Center for Computational Mechanics) and the Transportation Systems Center (Cambridge, MA) of the U.S. Department of Transportation. Industrial and academic experts from several countries in North America, Europe and Asia, were invited to discuss their experiences and proposed solutions. This monograph contains the original papers that represent the expanded and edited versions of the talks presented at this symposium. This book aims to bring the collective experience, from across the world, with problems related to the structural integrity of aging airplanes to the attention of the professional and research community at large - in the hope that it may stimulate further fruitful research on this important topic of global concern."

The International Union of Theoretical and Applied Mechanics (IUTAM) initiated and sponsored an International Symposium on The Mechanical Effects of Welding. was held in Lulea, Sweden, 10-14 June 1991. The intention of the The Symposium Symposium was to gather active scientists in order to assess the current state of the art and future directions. The field of welding is an area which includes a large number of scientific disciplines, such as materials science, solid mechanics, thermal science, and also mechanical engineering design and production engineering. The intention of the Symposium was to cover the direct mechanical effects of welding and their influence on the in-service behaviour of welded structures. The Mechanical Effects of Welding is a very appropriate theme for an IUTAM Symposium. Progress in this field requires close interaction between researchers in several disciplines. This is reflected in the topics covered. The topics of the different sessions were: o Calculations of Temperatures, Strains and Stresses o Residual Stresses and Residual Deformations o Measurements of Residual Strains and Stresses o Effects of Defects and Residual Stresses on Fracture and Fatigue o Effects of Residual Stresses on Creep Deformation o Effects of Residual Deformations and Residual Stresses on Buckling There were 50 participants from 12 countries at the Symposium. The 28 papers presented at the Symposium are collected in this volume. A Scientific Committee, appointed by the Bureau of IUTAM, selected the participants to be invited and the papers to be presented.

Intended for engineers, researchers, and graduate students dealing with materials science, structural design, and nondestructive testing and evaluation, this book represents a continuation of the author's "Fracture Mechanics" (1997). It will appeal to a variety of audiences: The discussion of design codes and procedures will be of use to practicing engineers, particularly in the nuclear, aerospace, and pipeline industries; the extensive bibliography and discussion of recent results will make it a useful reference for academic researchers; and graduate students will find the clear explanations and worked examples useful for learning the field. The book begins with a general treatment of fracture mechanics in terms of material properties and loading and provides up-to-date reviews of the ductile-brittle transition in steels and of methods for analyzing the risk of fracture. It then discusses the dynamics of fracture and creep in homogeneous and isotropic media, including discussions of high-loading-rate characteristics, the behavior of stationary cracks in elastic media under stress, and the propagation of cracks in elastic media. This is followed by an analysis of creep and crack initiation and propagation, describing, for example, the morphology and incubation times of crack initiation and growth and the effects of high temperatures. The book concludes with treatments of cycling deformation and fatigue, creep-fatigue fractures, and crack initiation and propagation. Problems at the end of each chapter serve to reinforce and test the student's knowledge and to extend some of the discussions in the text. Solutions to half of the problems are provided.

The Symposium on "The Mechanics of Sound Generation in FLows" th st was held in Gottingen, Germany, 28 - 31 August 1979, at the joint initiative of the International Union of Theoretical and Applied Mechanics (IUTAM), the International Commission on Acoustics (ICA) and the American Institute of Aeronautics and Astronautics (AIAA). From the whole field of flow-acoustics the Symposium concen trated on prob lems of sound generation, while sound propagation and the creation of flows by sound were left in the ba- ground. 82 delegates from 12 countries attended the Symposium. 38 papers were given 5 of which were invited general lectures. Emphasis was placed on discussion, a plenary discussion closing the sym- sium. A s care had been taken to invite as many active workers in the field as possible with their most recent results the Symposium provided a momentary overview of the current state of the ra pidly developing field of flow-acoustics. Participants appreciated the meeting as a possibility to inform themselves, to discuss their own results and to obtain incentives for future efforts."

The creative work of Andrei N. Kolmogorov is exceptionally wide-ranging. In his studies on trigonometric and orthogonal series, the theory of measure and inte gral, mathematical logic, approximation theory, geometry, topology, functional analysis, classical mechanics, ergodic theory, superposition of functions, and in formation theory, he solved many conceptual and fundamental problems and posed new questions which gave rise to a great deal of further research. Kolmogorov is one of the founders of the Soviet school of probability theory, mathematical statistics, and the theory of turbulence. In these areas he obtained a number of central results, with many applications to mechanics, geophysics, linguistics and biology, among other subjects. This edition includes Kolmogorov's most important papers on mathematics and the natural sciences. It does not include his philosophical and ped agogical studies, his articles written for the "Bolshaya Sovetskaya Entsiklopediya", his papers on prosody and applications of mathematics or his publications on general questions. The material of this edition was selected and compiled by Kolmogorov himself. The first volume consists of papers on mathematics and also on turbulence and classical mechanics. The second volume is devoted to probability theory and mathematical statistics. The focus of the third volume is on information theory and the theory of algorithms.

This book was prepared with the idea of collecting some of the multitudinous new literature on carbanions and pre senting it along with the fundamentals of carbanion chemi stry. Some 400 papers from the period 1976 to 1982 have been assimilated into the book along with about an equal number of references (many to reviews) from the earlier literature. The material is organized under the headings Structures (with emphasis on the results of X-ray studies since they unambiguously show the molecular geometry), Preparations, and Reactions. Reactions, the largest topic, is divided into reactions with electrophiles, eliminations, oxidations, and rearrangements. Under these headings, carbanions without resonance stabilization (0' carbanions) are generally discus sed first, and are further subdivided into Sp3 (alkyl) followed by Sp2 (vinyl and aryl) followed by sp (acetylenic); resonance stabilized (n) hydrocarbon anions such as allyl and benzyl follow; lastly, heteroatom-containing n carbanions such as enolates are considered. Some references to carbanion equivalents are included at the end. Tucson, Arizona U.S.A. Robert B. Bates May 1983 Craig A. Ogle Table of Contents I. Introduction 1 II. Structures . 3 1. Non-delocalized (0") 3 a. Sp3 ..... . 3 b. Sp2 and sp . . . 7 2. Delocalized (n) . . 8 a. Hydrocarbon Anions 8 b. Heteroatom-containing Carbanions 10 III. Preparations. . . . . 13 13 1. From Alkyl Halides 13 a. With Metals . . 15 b. With Organometallics . 17 2. From Alkanes by Proton Abstraction 17 a. Acidities of CH Protons. . 21 b. Base-solvent Systems . . . 25 3. From Unsaturated Compounds 25 a. By Reduction . . . . . ."

The inaugural Symposium on Turbulent Shear Flows was held at The Pennsylvania State University in 1977. Thereafter the locations for the biennial symposium have alternated between the USA and Europe. However, the ninth Symposium on Turbu lent Shear Flows was awarded to Japan in recognition of the strong support researchers of the Pacific Rim countries have given previous symposia. The University of Kyoto was the host institution and the meeting was held in the Inter national Conference Hall. The Local Arrangements Committee did a superb job scheduling traditional Japanese dinners and arranging visits to the many cultural treasures in the Kyoto region. The meeting attracted more than 260 offers of papers. Thirty-three sessions were scheduled to accommodate the 138 papers accepted for oral presentation. In addition a poster session was scheduled on each of the three days to accommodate a total of 42 poster presentations. From the presentations at the symposium 24 have been selected for inclusion in this volume. The authors of these papers have revised them taking into consideration comments made during their oral presentation and recommendations made by the Editors. Four subject areas are identified, namely closures and fundamentals, free flows, wall flows, and combustion and recirculating flows. Eminent authorities have prepared introductory articles fot each topic to put the individual contributions in context with each other and with related research.

Fatigue failures occur in aerospace, marine, nuclear structures and automobile com ponents from initiation and propagation of cracks from holes, scratches or defects in the material. To design against these failures, crack propagation life and fracture strength need to be accurately predicted. It is reported in the literature, that these failures often initiate as surface cracks, corner cracks and cracks emanating from fastner holes. Such cracks are with elliptic or nearly elliptic in shapes. The deviation from elliptic shape is due to varying constraint effect along the crack front. Even in situations, when the cracks are through the thickness of the material, there would be thicknesswise variation of constraint effects leading to three dimensional nature of crack growth. Accurate predictions of the crack growth in these cases by numerical methods can be made only by solving three-dimensional boundary value problems. Empirical relationships have been developed 1] based on Linear Elastic Fracture Mechanics over years describing fatigue crack growth response. Some of these empirical relationships required modifications in the later stages, to meet the design applications. The Crack closure phenomenon discovered by Elber 2, 3] during the crack growth phase is mainly attributed to the local material yielding near the crack tip and the consequent residual plastic wake behind the crack tip. It helped considerably in understanding several aspects of fatigue crack growth and rewrite these relations.

This symposium is the seventh of a series of IUTAM sponsored symposia which focus on probabilistic methods in mechanics. It is the sequel to the series of meetings in Coventry, UK (1972), Southhampton, UK (1976), Frankfurt/Oder, Germany (1982), Stockholm, Sweden (1984), Innsbruck/Igls, Austria (1987), and Turin, Italy (1991). The symposium focused on advances in the area of probabilistic mechanics with direct application to structural reliability issues. The contributed papers address collectively the four components of a structural reliability problem. They are: characterization of stochastic loads, description of material properties in terms of fatigue and fracture, response determination, and quantitative assessment of the reliability of the structural system. Four Keynote Lectures by V. Bolotin (Russia), o. Ditlevsen (Denmark), R. Heller (USA), and F. Ziegler (Austria) were delivered; the remaining contributed papers were organized in ten technical sessIons. A reception was hosted by Dr. Y. Wu the first day of the symposium; the second day of the symposium a banquet was hosted by Dr. P. Spanos, with Dr. N. Abramson serving as the banquet speaker. Closing remarks were provided by the IUTAM Secretary General, Dr. F. Ziegler.

The 3rd edition is thoroughly revised, applications are substantially enriched, it includes a new account of the early history of the subject (from 1800 to 1957) and a new chapter recounting the recent solution of open problems of long standing in classical aerodynamics. The bibliography comprises now over fifteen hundred titles.

From the reviews:

"The author is known as one of the leading experts in the field. His masterly written book is, surely, the most complete exposition in the subject of conservations laws." --Zentralblatt MATH

This publication presents an up to date coverage of infrared thermography applied in the context of improved industrial activity and quality through automated inspection and control. It puts together concise and complete information on thermal non-destructive evaluation (NDE), a method for testing without damage, not yet available in an integrated, stand-alone format. All concepts discussed are explained in full and many industrial applications of the covered subjects are presented. Although the book is complete by itself extensive references to relevant research papers are given for further reading. Nondestructive Evaluation of Materials by Infrared Thermography is intended for a wide audience. It will help industrial engineers to implement nondestructive evaluation methods on the production line and enlarge their knowledge of industrial inspection techniques. It can also be used as a teaching aid at universities and colleges, especially in materials engineering curricula. Finally research centres will find it valuable as a reference book about thermal NDE.