Dynamic Failure of Materials and Structures discusses the topic of dynamic loadings and their effect on material and structural failure. Since dynamic loading problems are very difficult as compared to their static counterpart, very little information is currently available about dynamic behavior of materials and structures. Topics covered include the response of both metallic as well as polymeric composite materials to blast loading and shock loadings, impact loadings and failure of novel materials under more controlled dynamic loads. These include response of soft materials that are important in practical use but have very limited information available on their dynamic response. Dynamic fragmentation, which has re-emerged in recent years has also been included. Both experimental as well as numerical aspects of material and structural response to dynamic loads are discussed.

Written by several key experts in the field, Dynamic Failure of Materials and Structures will appeal to graduate students and researchers studying dynamic loadings within mechanical and civil engineering, as well as in physics and materials science.

Ship optimization design is critical to the preliminary design of a ship. With the rapid development of computer technology, the simulation-based design (SBD) technique has been introduced into the field of ship design. Typical SBD consists of three parts: geometric reconstruction; CFD numerical simulation; and optimization. In the context of ship design, these are used to alter the shape of the ship, evaluate the objective function and to assess the hull form space respectively. As such, the SBD technique opens up new opportunities and paves the way for a new method for optimal ship design. This book discusses the problem of optimizing ship's hulls, highlighting the key technologies of ship optimization design and presenting a series of hull-form optimization platforms. It includes several improved approaches and novel ideas with significant potential in this field

Recent state-of-the-art technologies in fabricating low-loss optical and mechanical components have significantly motivated the study of quantum-limited measurements with optomechanical devices. Such research is the main subject of this thesis. In the first part, the author considers various approaches for surpassing the standard quantum limit for force measurements. In the second part, the author proposes different experimental protocols for using optomechanical interactions to explore quantum behaviors of macroscopic mechanical objects. Even though this thesis mostly focuses on large-scale laser interferometer gravitational-wave detectors and related experiments, the general approaches apply equally well for studying small-scale optomechanical devices.

The author is the winner of the 2010 Thesis prize awarded by the Gravitational Wave International Committee.

These Proceedings contain selected original papers by the speakers invited to the Seminar on Deformations, organized in 1988/92 by Julian Lawrynowicz (L6di), whose most fruitful parts took place in 1988 in E6di, Paris and Mexico City (Profs. J. Adem, F. de1. Castillo Alvarado, G. Contreras Puente, R.M. Porter, E. Ramirez de Arellano - Mexico, D.F.; Prof. B. Gaveau - Paris; Profs. J. Lawrynowicz, J. Rembielinski, L. Wojtczak - Mdi et all.), in 1990 in -Mdi, Tokyo and Sapporo (Profs. S. Koshi - Sapporo, O. Suzuki - Tokyo, J. Lawrynowicz - L6di et all.), in 1991 in t6diand Rome (Profs. S. Marchiafava, F. Succi- Rome, J. Lawrynowicz, 1. Wojtczak - l.6di et all.), and in 1992 in E6di and M alinka - Mazurian Lakeland, Poland (Profs. C. Surry - Saint Etienne, J. Lawrynowicz, J. Rembielinski, 1. Wojtczak - L6di et all.). The meetings of the Seminar and the Proceedings were supported by the Polish state Committee for Scientific Research (KBN) and the -L6di Society of Sciences and Arts (LTN)

Effective and ef cient modelling of in nite media is important for the production of accurate and useful solutions for many scienti c and engineering problems invo- ing in nite domains (Bettess 1977, 1980; Chow and Smith 1981; Medina and Taylor 1983; Zhang and Zhao 1987; Zhao et al. 1989; Zhao and Valliappan 1993a, b, c, d; Astley 1996, 1998; Yang et al. 1996; Yang and Huang 2001; Yun et al. 2000, 2007; Wang et al. 2006). Some typical examples involving in nite domains are as follows: (1) earthquake wave propagation within the upper crust of the Earth in the elds of geophysics and seismology; (2) dynamic structure-foundation interaction in the elds of geotechnical, civil and dam engineering; and (3) transient pore- uid ow, heat transfer and mass transport within the interior of the Earth in the elds of g- science and geoenvironmental engineering. Although the solid Earth is viewed as a bounded domain at the terrestrial scale, it can be treated as an unbounded domain at the human scale. For instance, in the case of predicting possible property damages caused by an earthquake, only a limited region around the epicentre is of interest because the earthquake wave energy is signi cantly reduced as the distance from the epicentre is increased.

Cosmetic emulsions exist today in many forms for a wide variety of applications, including face and hand creams for normal, dry or oily skin, body milks and lotions, as well as sun-block products. Keeping track of them and their properties is not always easy despite informative product names or partial names (e.g. hand or face cream) that clearly indicate their use and properties. This practical manual provides a detailed overview that describes the key properties and explains how to measure them using modern techniques. Written by an expert in flows and flow properties, it focuses on the application of rheological (flow) measurements to cosmetic and food emulsions and the correlation of these results with findings from other tests.

Beginning with a brief history of rheology and some fundamental principles, the manual describes in detail the use of modern viscometers and rheometers, including concise explanations of the different available instruments. But the focus remains on practical everyday lab procedures: how to characterize cosmetic and food emulsions with different rheological tests such as temperature, time, stress and strain, both static and dynamic. Also the critical topic of how the results correlate with other important product characteristics, for instance, skin sensation, pumping performance, stability etc. is carefully explored. Many pictures, illustrations, graphs and tables help readers new to the measurement of cosmetic emulsions in their daily work as well as to the more experienced who seek additional special tips and tricks.

The reader will find in this volume the Proceedings of the NATO Advanced Study Institute held in Maratea-Acquafredda, Italy, between June 29 and July 12, 1997, entitledTHE DYNAMICS OF SMALL BODIES IN THE SOLAR SYSTEM: A MAJOR KEY TO SOLAR SYSTEM STUDIES . This Advanced Study Institute was the latest in the 'Cortina' series of NATO ASI's begun in the early 1970's firstly under the directorship of Professor Victor Szebehely and subsequently under Professor Archie Roy. All, except the latest, were held at the Antonelli Institute, Cortina d'Ampezzo, Italy. Many of those now active in the field made their first international contacts at these Institutes. The Institutes bring together many of the brightest of our young people working in dynamical astronomy, celestial mechanics and space science, enabling them to obtain an up-to-date synoptic view of their subjects delivered by lecturers of high international reputation. The proceedings from these institutes have been well-received in the internationalcommunity of research workers in the disciplines studied. The present institute included 15 series of lectures given by invited speakers and some 45 presentations made by the other participants. The majority of these contributions are includedinthese proceedings.

Market: Research scientists and students in materials science, physical metallurgy, and solid state physics. This detailed monograph presents the theory of reversible plasticity as a new direction of development in crystal physics. It features a unique integration of traditional concepts and new studies of high- temperature superconductors, plus in-depth analyses of various related phenomena. Among the topics discussed are elastic twinning (discovered by Dr. Garber), thermoelastic martensite transformation, superelasticity, shape memory effects, the domain structure of ferroelastics, and elastic aftereffect. Partial Contents: 1. Transformation of Dislocations. Dislocation Description of a Phase Transformation Front. 2. Dislocation Theory of Elastic Twinning. Twinning of Crystals: Principal Definitions. 3. Statics and Dynamics of Elastic Twinning. Discovery of Elastic Twinning. Verification of the Validity of the Static Theory in a Description of the Macroscopic Behavior of an Elastic Twin. 4. Thermoelastic Martensitic Transformation. Martensitic Transformation: a Diffusionless Process of Rebuilding the Crystal Lattice. 5. Superelasticity and the Shape Memory Effect. Main Characteristics of Superelasticity and Shape Memory Effects. 6. Reversible Plasticity of Ferroelastics. Ferroelastics: Main Definitions. 7. Investigation of Reversible Plasticity of Crystals by the Acoustic Emission Method. Emission of Sound by Moving Dislocations andTheir Pileups. Methods Used in Experimental Investigations of the Acoustic Emission Generated by a SingleTwin. Acoustic Emission Associated with Elastic Twinning. 8. Influence of Reversible Plasticity of Superconductors on Their Physical Properties. Reversible Changes in the Parameters of Traditional Superconductors under the Action of Elastic Stresses. Influence of Magnetic Fields on Reversible Changes in the Parameters

Temperature and heat, entropy and order or disorder are key classical concepts of physics. These are challenged by searching matter under extreme conditions, such as high (relativistic) energy, strong acceleration or gravitation, or unusual complexity due to long range correlations. In our quest for quark matter all these conditions might occur simultaneously. This book, strongly motivated by the authors' everyday research experiences in the field of high-energy heavy-ion collisions, aims to bundle these challenges to modern physics.

The main topic is at the heart of thermodynamics --the very concept of temperature, its use and extensions. New developments on this issue are both applications and foundations of non-extensive statistics, as well as concepts borrowed from gravity and string theory to describe the surprisingly statistical behavior of elementary matter at the highest accelerator energies of the world.

The reader will benefit from bringing these new developments in one book together, by having the view of classical and modern concepts at the heart of physics across the problems related to high-energy, high acceleration and high complexity.

After reviewing the classical approaches, the author discusses the dual-gravity and non-extensive statistical aspects of heavy-ion collisions, describing these experimental findings with the use of the concept of temperature."

An up-to-date description of progress and current problems with the gravitational constant, both in terms of generalized gravitational theories and experiments either in the laboratory, using Casimir force measurements, or in space at solar system distances and in cosmological observations.
Contributions cover different aspects of the state and prediction of unified theories of the physical interactions including gravitation as a cardinal link, the role of experimental gravitation and observational cosmology in discriminating between them, the problem of the precise measurement and stability of fundamental physical constants in space and time, and the gravitational constant in particular.
Recent advances discussed include unified and scalar-tensor theories, theories in diverse dimensions and their observational windows, gravitational experiments in space, rotational and torsional effects in gravity, basic problems in cosmology, early universe as an arena for testing unified models, and big bang nucleosynthesis.

2D Gravity and Non-Perturbative Effects: Diffusion Equation, Continuum Limit and Universality in 2D Quantum Gravity; O. Alvarez, et al. On Triangles and Squares; C. Bachas. Non-Perturbative Effects in 2D Gravity and Matrix Modles; F. David. Integrable Models of 2D Quantum Gravity; P. Di Francesco, et al. Topological Strings and Loop Equations; R. Dijkgraaf, et al. The Two Matrix Model; M.R. Douglas. Action Principle and Large Order Behavior of Non-Perturbative Gravity; P. Ginsparg, et al. D = 1 Strings and String Field Theory: Matrix Models, String Field Theory and Topology; T. Banks. Multipoint Correlation Functions in One-Dimensional String Theory; D. Boulativ. The Penner Model and D = 1 String Theory J. Distler, et al. Non-Perturbative String Theory; D.J. Gross. Bosonic Strings and String Field Theories in One-Dimensional Target Space; V. Kazakov. Liouville Theory andD 1: Random Surfaces in Dimensions Larger than One; J. Ambjorn. On Gauge Invariances in Stochastic Quantization; L. Baulieu. The Quantum Group Structure of Quantum Gravity in Two Dimensions; J.L. Gervais. Notes on Quantum Liouville Theory and Quantum Gravity; N. Seiberg. 8 additional articles. Index.

This volume reviews recent progress in the study of dynamics of star clusters. The meeting focused on the enormous progress of both the observation and the theoretical modeling of star clusters. New results from the refurbished Hubble Space Telescope (HST) include the mass function down to the hydrogen burning limits, white dwarf sequence, and central density profiles of `post-collapse' clusters by star counts. On the theoretical side, this symposium saw the first direct evidence of gravothermal oscillation through N-body simulation, which was made possible by GRAPE-4, the dedicated special-purpose computer for N-body simulation. Numerical techniques to combine stellar evolution and dynamical evolution of the cluster were presented. The book will be of primary interest to astrophysicists.

This topical volume reviews applications of continuum mechanics to systems in geophysics and the environment. Part of the text is devoted to numerical simulations and modeling. The topics covered include soil mechanics and porous media, glacier and ice dynamics, climatology and lake physics, climate change as well as numerical algorithms. The book, written by well-known experts, addresses researchers and students interested in physical aspects of our environment.

This thesis focuses on the development of high-order finite volume methods and discontinuous Galerkin methods, and presents possible solutions to a number of important and common problems encountered in high-order methods, such as the shock-capturing strategy and curved boundary treatment, then applies these methods to solve compressible flows.

This book has evolved out of a colloquium entitled "The Reception of the Galilean Science of Motion;' held at Amsterdam on 5-7 July 2000. It was our intention as the organizers to bring together historians of science interested in Galileo's science of motion, its ramifications in seventeenth-century Europe, and its impact on what Anneliese Maier and E. J. Dijksterhuis have labeled the "mechanization of the world picture. " Funding for the conference was provided by the Royal Netherlands Academy of Arts and Sciences, which honored our proposal for an Academy Colloquium. We should also like to thank Ap de Wit, Martine Wagenaar, and Ine van den Heuvel from the Royal Academy for the careful and reliable administrative organization of the colloquium. Through a generous grant (no. 200-22-295), the Netherlands Organization for Scientific Research ( NWO) allowed the Center for Medieval and Renaissance Natural Philosophy at Nijmegen University to act as the colloquium's second sponsor. All papers that were read at the colloquium have been strongly modified for publication. It is hoped that the resulting articles display even more coherence and unity than the colloquium did, while at the same time retaining something of its spirit and diversity. In addition to the authors whose articles are published here, the following scholars also participated in the discussions: Constance Blackwell, Hans Bots, Henk Braakhuis, Wiep van Bunge, Dirk-Jan Dekker, Fokko-Jan Dijksterhuis, Juliette van den Elsen, Fran'Tois de Gandt, Christoph Luthy, Olaf Pluta, Thomas Settle, Theo Verbeek, and Liesbeth de Wreede.

This comprehensive reference text gives an overview of the current state of nonlinear wave mechanics in both elastic and fluid media. Consisting of self-contained chapters, the book covers new aspects on strong discontinuities (shock waves) and localized self- preserving (permanent) shapes (solitary waves and solitons). Special attention is devoted to the kinematics and dynamics of permanent waves when dissipative effects are added to the original balance between nonlinearity and dispersion. Key features include: * survey chapters written in an accessible style by leading specialists * coverage of emerging topics in the field * interdisciplinary approach integrating mathematical theory and physical applications of nonlinear waves in elastic and fluid media * treatment of the intrinsic mechanisms of propagation of different types of nonlinear waves * presentation of analytical methods for solving wave propagation problems in elastic and fluid media * user-friendly index 'Selected Topics in Nonlinear Wave Mechanics' provides readers with recent developments in the nonlinear propagation and scattering of waves in both elastic solids and liquids. The book is useful for applied mathematicians, physicists, mechanical, civil and aerospace engineers, as well as graduate students in those fields. Contributors: R.M. Axel, C.I. Christov, A. Guran, J.B. Haddow, G.A. Maugin, A. Morro, A. Nagl, P.K. Newton, A.V. Porubov, R.J. Tait, H. sberall, M.G. Velarde, W.B. Zimmerman

The first edition of this book entitled Analysis on Riemannian Manifolds and Some Problems of Mathematical Physics was published by Voronezh Univer sity Press in 1989. For its English edition, the book has been substantially revised and expanded. In particular, new material has been added to Sections 19 and 20. I am grateful to Viktor L. Ginzburg for his hard work on the transla tion and for writing Appendix F, and to Tomasz Zastawniak for his numerous suggestions. My special thanks go to the referee for his valuable remarks on the theory of stochastic processes. Finally, I would like to acknowledge the support of the AMS fSU Aid Fund and the International Science Foundation (Grant NZBOOO), which made possible my work on some of the new results included in the English edition of the book. Voronezh, Russia Yuri Gliklikh September, 1995 Preface to the Russian Edition The present book is apparently the first in monographic literature in which a common treatment is given to three areas of global analysis previously consid ered quite distant from each other, namely, differential geometry and classical mechanics, stochastic differential geometry and statistical and quantum me chanics, and infinite-dimensional differential geometry of groups of diffeomor phisms and hydrodynamics. The unification of these topics under the cover of one book appears, however, quite natural, since the exposition is based on a geometrically invariant form of the Newton equation and its analogs taken as a fundamental law of motion."

As a result of significant research over the past 20 years, black holes are now linked to some of the most spectacular and exciting phenomena in the Universe, ranging in size from those that have the same mass as stars to the super-massive objects that lie at the heart of most galaxies, including our own Milky Way. This book first introduces the properties of simple isolated holes, then adds in complications like rotation, accretion, radiation, and magnetic fields, finally arriving at a basic understanding of how these immense engines work.

Black Hole Astrophysics

reviews our current knowledge of cosmic black holes and how they generate the most powerful observed pheonomena in the Universe;

highlights the latest, most up-to-date theories and discoveries in this very active area of astrophysical research;

demonstrates why we believe that black holes are responsible for important phenomena such as quasars, microquasars and gammaray bursts;

explains to the reader the nature of the violent and spectacular outfl ows (winds and jets) generated by black hole accretion.

"

Internal wave dynamics in lakes (and oceans) is an important physical component of geophysical fluid mechanics of 'quiescent' water bodies of the Globe. The formation of internal waves requires seasonal stratification of the water bodies and generation by (primarily) wind forces. Because they propagate in basins of variable depth, a generated wave field often experiences transformation from large basin-wide scales to smaller scales. As long as this fission is hydrodynamically stable, nothing dramatic will happen. However, if vertical density gradients and shearing of the horizontal currents in the metalimnion combine to a Richardson number sufficiently small (< 1/4), the light epilimnion water mixes with the water of the hypolimnion, giving rise to vertical diffusion of substances into lower depths. This meromixis is chiefly responsible for the ventilation of the deeper waters and the homogenization of the water through the lake depth. These processes are mainly formed as a result of the physical conditions, but they play biologically an important role in the trophicational state of the lake.

In this book the author presents the dynamical systems in infinite dimension, especially those generated by dissipative partial differential equations. This book attempts a systematic study of infinite dimensional dynamical systems generated by dissipative evolution partial differential equations arising in mechanics and physics and in other areas of sciences and technology. This second edition has been updated and extended.

This volume contains the detailed text of the major lectures and the abstracts of the lectures delivered during the seminar sessions. The subject of our NATO Advanced Study Institute in 1981 was the Application of Modern Dynamics to Celestial Mechanics and Astrodynamics. This Preface will first explain the terminology, then it will review shortly the content of the lectures and will outline how all this was made possible and, finally, it will disclose our future aspirations. Periodicity is an extremely important concept in our field, therefore, it should not be unexpected that our NATO Advanced Study Institute is enjoying a period of three years. Since 1972 we conducted four Institutes with increasing interest and en thusiasm displayed by the participants, lecturers and by this Director. Celestial Mechanics or Dynamical Astronomy is part of Astronomy dealing mostly with the motion of natural celestial bodies. Astrodynamics or Orbital Mechanics is the application of dynamics to problems of Space Engineering and it treats mostly the dynamical behavior of artificial satellites and space probes. The underlying mathematical and dynamical principles are, of course, the same for Celestial Mechanics and for Astrodynamics. This Director of the Institute and Editor of the Proceedings was extremely fortunate to have obtained the cooperation of out standing lecturers who were clear, thorough, understandable, patient to answer questions, but above all, had knowledge of the ix V. Szebehely (ed.). Applications of Modern Dynamics to Celestial Mechanics and Astrodynamics. ix-x."

th Coinciding with the 300 anniversary of the publication of Newton's Principia The International Astronomical Union organized the colloquium No. 96 "The Few Body Problem" in Turku, Finland, June 14.-19.1987. It provided an opportunity to review the progress in the very field which caused Newton a headache, as Victor Szebehely reminded the audience in his introductory remarks. It is a measure of the difficulty and complication of the few body problem that even after 300 years so many aspects of the problem are still unsolved. To quote Szebehely again, "Sir Isaac established the rules, Poincare presented the challenges." Many of these challenges are reviewed in the present proceedings. The gravitational few body problem cuts across the borders of established disciplines. The participants of the colloquium came from departments as different as Aerospace Engineering, Astronomy, Theoretical Physics, Physics, Mathematics, Applied Mathematics, Computer Science, Planetology, Geodesy, Celestial Mechanics and Space Science. The few body problem is a problem of practical significance in many fields and the main aim of the colloquium was to bring together people with research interests in this area, many of whom normally attend different conferences.

The book presents a comprehensive overview of the current state-of-the-art in the atmospheric boundary layer (ABL) research. It focuses on experimental ABL research, while most of the books on ABL discuss it from a theoretical or fluid dynamics point of view.

Experimental ABL research has been made so far by surface-based in-situ experimentation (tower measurements up to a few hundred meters, surface energy balance measurements, short aircraft experiments, short experiments with tethered balloons, constant-level balloons, evaluation of radiosonde data). Surface flux measurements are also discussed in the book. Although the surface fluxes are one of the main driving factors for the daily variation of the ABL, an ABL description is only complete if its vertical structure is analyzed and determined. Satellite information is available covering large areas, but it has only limited temporal resolution and lacks sufficient vertical resolution. Therefore, surface-based remote sensing is a large challenge to enlarge the database for ABL studies, as it offers nearly continuous and vertically highly resolved information for specific sites of interest.

Considerable progress has been made in the recent years in studying of ground-based remote sensing of the ABL. The book discusses such new subjects as micro-rain radars and the use of ceilometers for ABL profiling, modern small wind lidars for wind energy applications, ABL flux profile measurements, RASS techniques, and mixing-layer height determination.

The Dynamics program and handbook allows the reader to explore nonlinear dynamics and chaos by the use of illustrated graphics. It is suitable for research and educational needs. This new edition allows the program = to run 3 times faster on the processes that are time consuming. Other major changes include: 1. There will be an add-your-own equation facility. This means it = will be unnecessary to have a compiler. PD and Lyanpunov exponents and Newton method for finding periodic orbits can all be carried out numerically without adding specific code for partial derivatives. 2. The program will support color postscript. 3. New menu system in which the user is prompted by options when a command is chosen. This means that the program is much easier to learn and to remember in comparison to current version. 4. Mouse support is added. 5. The program will be able to use the expanded memory available on modern PC's. This means pictures will be higher resolution. There are also many minor chan ce much of the source code will be available on the web, although some of ges such as zoom facility and help facility.=20 6. Due to limited spa it willr emain on the disk so that the unix users still have to purchase the book. This will allow minor upgrades for Unix users.