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Books > Science & Mathematics > Physics > Classical mechanics > General
The book contains 12 chapters written by well-known shock wave researchers from seven different countries. Each researcher provides a brief description of his main research interests and results, thereby providing the readers with an excellent view of shock wave research conducted in the past fifty years. It also provides hints as to what still needs further investigation. It will be an excellent guide for young researchers entering the field of shock wave phenomena. Among the described investigations are the following topics: Blast wave interaction with a body when the body is in the area of interference of two blast waves moving in different directions; equation of state for water based on the shock Hugoniot data; Mach waves occurring over a backward facing edge in supersonic flow; shock waves in dusty gas; shock wave interaction with various bodies; three shock interactions.
Ian Murdoch's Physical Foundations of Continuum Mechanics will interest engineers, mathematicians, and physicists who study the macroscopic behaviour of solids and fluids or engage in molecular dynamical simulations. In contrast to standard works on the subject, Murdoch's book examines physical assumptions implicit in continuum modelling from a molecular perspective. In so doing, physical interpretations of concepts and fields are clarified by emphasising both their microscopic origin and sensitivity to scales of length and time. Murdoch expertly applies this approach to theories of mixtures, generalised continua, fluid flow through porous media, and systems whose molecular content changes with time. Elements of statistical mechanics are included, for comparison, and two extensive appendices address relevant mathematical concepts and results. This unique and thorough work is an authoritative reference for both students and experts in the field.
This is a first year graduate textbook on linear elasticity, being based on a one semester course taught by the author at the University of Michigan. It is written with the practical engineering reader in mind, dependence on previous knowledge of solid mechanics, continuum, mechanics or mathematics being minimized. Most of the text should be readily intelligible to a reader with an undergraduate background of one or two courses in elementary strength of materials and a rudimentary knowledge of partial differentiation. Emphasis is placed on engineering applications of elasticity and examples are generally worked through to final expressions for the stress and displacement fields in order to explore the engineering consequences of the results. The topics covered are chosen with a view to modern research applications in fracture mechanics, composite materials, tribology and numerical methods. Thus, significant attention is given to crack and contact problems, problems involving interfaces between dissimilar media, thermoelasticity, singular asymptotic stress fields and three-dimensional problems. Problems suitable for class use are included at the end of most of the chapters. These are expressed wherever possible in the form they would arise in engineering - i.e. as a body of a given geometry subjected to prescribed loading - instead of inviting the student to verify' that a given candidate stress function is appropriate to the problem. The text is therefore written in such a way as to enable the student to approach such problems deductively. A solutions manual is available directly from the author (e-mail: [email protected]).
Contributed by world-renowned specialists on the occasion of Paul Germain's 80th birthday, this unique book reflects the foundational works and the intellectual influence of this author. It presents the realm of modern thermomechanics with its extraordinary wealth of applications to the behaviour of materials, whether solid or fluid. The thirty-one contributions follow an easygoing autobiographical sketch by Paul Germain, and highlight the power and richness of a methodological approach to the phenomenology of many materials. This approach combines harmoniously thermodynamics and continuum theory in order to provide exploitable, thermodynamically admissible models of a large variety of behaviours and phenomena, including those of diffusion, thermoelasticity, viscoplasticity, relaxation, hysteresis, wetting, shape-memory effects, growth, phase transitions, stability, fracture, shocks, machining of materials, microstructured solids, complex fluids, etc. Especially aimed at graduate students, researchers, and engineers in mechanical engineering and materials science, this book also presents the state of the art in an active field of research and opens new horizons in other scientific fields, such as applied mathematics and applied physics, because of the intellectual satisfaction and remarkable efficiency provided by the advocated approach.
The German research satellite CHAMP had been launched in summer 2000. Its modern instruments and near Earth orbit allow for the first time to collect data of the gravitational and magnetic fields and in addition to sound out the atmosphere and ionosphere by using GPS techniques. The book is the result of the first meeting of the international CHAMP research groups gathering 18 months later at the GeoForschungsZentrum Potsdam. Besides technical information the volume offers a comprehensive overview over the use of CHAMP data for Earth System Research in the fields of Geodesy, Geophysics and Meteorology.
This monograph studies optimization problems for rigid punches in elastic media and for high-speed penetration of rigid strikers into deformed elastoplastic, concrete, and composite media using variational calculations, tools from functional analysis, and stochastic and min-max (guaranteed) optimization approaches with incomplete data. The book presents analytical and numerical results developed by the authors during the last ten years.
This accessible reference introduces firefighting and fire safety systems on ships and is written in line with the IACS Classification Rules for Firefighting Systems. It covers the design, construction, use and maintenance of firefighting and fire safety systems, with cross references to the American Bureau of Shipping rules and various Classification Society regulations which pertain to specific Classification Society rules. Focuses on basic principles in line with current practice Aimed at non-specialists The book suits professional seafarers, students, and cadets, as well as leisure sailors and professionals involved in the logistics industry. It is also particularly useful for naval architects, ship designers, and engineers who need to interpret the Class rules when developing shipboard firefighting systems.
Provides a comprehensive introduction to aircraft performance and flight dynamics. Covers both jet and propellor-driven aircraft. Includes new content on vertical takeoff and landing, UAV launch, UAV recovery, use of rocket engine as the main engine, range for electric aircraft, electric engine, endurance for electric aircraft, gliding flight, pull-up, and climb-turn. Includes end-of-chapter problems, MATLAB® code and examples, and case studies. Features a Solutions Manual and Figure Slides for instructor use.
Cosmology has become a very active research field in the last decades thanks to the impressing improvement of our observational techniques which have led to landmark discoveries such as the accelerated expansion of the universe, and have put physicists in front of new mysteries to unveil, such as the quest after the nature of dark matter and dark energy. These notes offer an approach to cosmology, covering fundamental topics in the field: the expansion of the universe, the thermal history, the evolution of small cosmological perturbations and the anisotropies in the cosmic microwave background radiation. Some extra topics are presented in the penultimate chapter and some standard results of physics and mathematics are available in the last chapter in order to provide a self-contained treatment. These notes offer an in-depth account of the above-mentioned topics and are aimed to graduate students who want to build an expertise in cosmology.
Continuum mechanics and thermodynamics are foundational theories of many fields of science and engineering. This book presents a fresh perspective on these fundamental topics, connecting micro- and nanoscopic theories and emphasizing topics relevant to understanding solid-state thermo-mechanical behavior. Providing clear, in-depth coverage, the book gives a self-contained treatment of topics directly related to nonlinear materials modeling. It starts with vectors and tensors, finite deformation kinematics, the fundamental balance and conservation laws, and classical thermodynamics. It then discusses the principles of constitutive theory and examples of constitutive models, presents a foundational treatment of energy principles and stability theory, and concludes with example closed-form solutions and the essentials of finite elements. Together with its companion book, Modeling Materials, (Cambridge University Press, 2011), this work presents the fundamentals of multiscale materials modeling for graduate students and researchers in physics, materials science, chemistry and engineering.
"This book covers some of the main aspects of nonlinear analysis. It concentrates on stressing the fundamental ideas instead of elaborating on the intricacies of the more esoteric ones...it encompass es] many methods of dynamical systems in quite simple and original settings. I recommend this book to anyone interested in the main and essential concepts of nonlinear analysis as well as the relevant methodologies and applications." --MATHEMATICAL REVIEWS
The past three decades have witnessed the great success of lithium-ion batteries, especially in the areas of 3C products, electrical vehicles, and smart grid applications. However, further optimization of the energy/power density, coulombic efficiency, cycle life, charge speed, and environmental adaptability are still needed. To address these issues, a thorough understanding of the reaction inside a battery or dynamic evolution of each component is required. Microscopy and Microanalysis for Lithium-Ion Batteries discusses advanced analytical techniques that offer the capability of resolving the structure and chemistry at an atomic resolution to further drive lithium-ion battery research and development. * Provides comprehensive techniques that probe the fundamentals of Li-ion batteries. * Covers the basic principles of the techniques involved as well as its application in battery research. * Describes details of experimental set-ups and procedure for successful experiments. This reference is aimed at researchers, engineers, and scientists studying lithium-ion batteries including chemical, materials, and electrical engineers, as well as chemists and physicists.
This book explores the myriad issues that play out in the upstream petroleum industry of Ghana from a legal perspective. Focusing on Ghana as an emerging petroleum country, Thomas Kojo Stephens begins by examining whether the existing constitutional framework will be effective in governing the expanding oil and gas sector. Drawing on various approaches proffered by other experts in the field, Stephens looks at possible institutional structures that could be put in place and juxtaposes these ideas with the experience of Ghana to test the efficacy of these proposals. He also explores the types of contractual frameworks currently implemented in Ghana for comparison with other emerging petroleum economies, examining the barriers to effectiveness, novel provisions that must be incorporated and lessons learned from other regions. Finally, the book highlights how vital it is for the Ghanaian State to monitor the use of petroleum revenue and make ethical investment decisions that prioritise the interests of Ghanaian citizens. Upstream Oil and Gas in Ghana will be of great interest to students and scholars of energy law and policy, oil and gas management and African Studies more broadly, as well as those working in the upstream petroleum industry.
This book introduces field theory as required in solid and fluid mechanics as well as in electromagnetism. It includes the necessary applied mathematical framework of tensor algebra and tensor calculus, using an inductive approach particularly suited to beginners. It is geared toward undergraduate classes in continuum theory for engineers in general, and more specifically to courses in continuum mechanics. Students will gain a sound basic understanding of the subject as well as the ability to solve engineering problems by applying the general laws of nature in terms of the balances for mass, momentum, and energy in combination with material-specific relations in terms of constitutive equations, thus learning how to use the theory in practice for themselves. This is facilitated by numerous examples and problems provided throughout the text.
This book serves as a textbook for senior undergraduate students who are learning the subject of general relativity and gravitational waves for the first time. Both authors have been teaching the course in various forms for a few decades and have designed the book as a one stop book at basic level including derivations and exercises. A spectacular prediction of general relativity is gravitational waves. Gravitational waves were first detected by the LIGO detectors in 2015, hundred years after their prediction. Both authors are part of the LIGO Science Collaboration and were authors on the discovery paper. Therefore, a strong motivation for this book is to provide the essential concepts of general relativity theory and gravitational waves with their modern applications to students and to researchers who are new to the multi-disciplinary field of gravitational wave astronomy. One of the advanced topics covered in this book is the fundamentals of gravitational wave data analysis, filling a gap in textbooks on general relativity. The topic blends smoothly with other chapters in the book not only because of the common area of research, but it uses similar differential geometric and algebraic tools that are used in general relativity.
Covers climate change fundamentals and its impact on different ecosystems and natural disasters Describes non-renewable energy aspects like fossil fuel, coal, oil, natural gas and so forth Explores sustainable development in terms of environment, social and economic aspects Includes species diversity and loss, agriculture productivity, water resources scarcity, health and environmental, rise in sea level and coastal area submergence Illustrates scientific hybridization of traditional ecological knowledge for enhancing climate change adaptation
Collective behavior in systems with many components, blow-ups with emergence of microstructures are proofs of the double, continuum and atomistic, nature of macroscopic systems, an issue which has always intrigued scientists and philosophers. Modern technologies have made the question more actual and concrete with recent, remarkable progresses also from a mathematical point of view. The book focuses on the links connecting statistical and continuum mechanics and, starting from elementary introductions to both theories, it leads to actual research themes. Mathematical techniques and methods from probability, calculus of variations and PDE are discussed at length.
Explores the history and significance of interplanetary space missions. Features detailed explanations and mathematical methods for trajectory optimization. Includes detailed explanations and mathematical methods for mission analysis for interplanetary missions. Covers the introduction, mathematical methods, and applications of the N-body problem (N>2). Discusses navigation and targeting for interplanetary mission.
Covers potential energy storage (rechargeable batteries and supercapacitors) and energy conversion (solar cells and fuel cells) materials. Develops theoretical predictions and experimental observations under a unified quasi-particle framework. Illustrate up-to-date calculation results and experimental measurements. Describes successful synthesis, fabrication, and measurements, as well as potential applications and near future challenges.
Provides background material needed to understand digital twin technology Presents computational facet of digital twin Includes physics based and surrogate model representations Addresses the problem of uncertainty in measurements and modeling Discusses practical case studies of implementation of digital twins addressing additive manufacturing, server farms, predictive maintenance, and smart cities
1. This book gives the reader a comprehensive and in-depth introduction to the variable gain control and details a series of related innovative technologies. Instead of reading various relevant books, this book enables readers to establish an overall understanding of variable gain control methods for different systems. 2. The goal of this book is to interpret complex control knowledge in simple terms. It is easy to understand and needs little background knowledge. 3. It highlights the practical applications of variable gain control in energy conversation. The designed variable gain control has a simple form and is convenient for engineering applications. 4. Discussion remarks are provided in each chapter with new contributions to emphasize the novelty of the presented design and analysis methods. Moreover, a number of interesting remaining problems in the related topics, which are worthy of further investigation, are discussed in this book. 5. Simulation results are given in each chapter, sometimes in a comparative manner, to show the effectiveness of these methods.
This monograph provides a complete and up-to-date examination of rigid body dynamics using a Lagrangian approach. All known integrable cases, which were previously scattered throughout the literature, are collected here for convenient reference. Also contained are particular solutions to diverse problems treated within rigid body dynamics. The first seven chapters introduce the elementary dynamics of the rigid body and its main problems. A full historical account of the discovery and development of each of the integrable cases is included as well. Instructors will find this portion of the book well-suited for an undergraduate course, having been formulated by the author in the classroom over many years. The second part includes more advanced topics and some of the author's original research, highlighting several unique methods he developed that have led to significant results. Some of the specific topics covered include the twelve known solutions of the equations of motion in the classical problem, which has not previously appeared in English before; a collection of completely new integrable cases; and the motion of a rigid body around a fixed point under the action of an asymmetric combination of potential and gyroscopic forces. Rigid Body Dynamics will appeal to researchers in the area as well as those studying dynamical and integrable systems theory.
Based on the subjects from the Clay Mathematics Institute/Mathematical Sciences Research Institute Workshop titled 'Recent Progress in Dynamics' in September and October 2004, this volume contains surveys and research articles by leading experts in several areas of dynamical systems that have experienced substantial progress. One of the major surveys is on symplectic geometry, which is closely related to classical mechanics and an exciting addition to modern geometry. The survey on local rigidity of group actions gives a broad and up-to-date account of another flourishing subject. Other papers cover hyperbolic, parabolic, and symbolic dynamics as well as ergodic theory. Students and researchers in dynamical systems, geometry, and related areas will find this book fascinating. The book also includes a fifty-page commented problem list that takes the reader beyond the areas covered by the surveys, to inspire and guide further research. |
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