Approximate Models of Mechanics of Composites
Approximate Models of Mechanics of Composites: An Asymptotic Approach is an essential guide to constructing asymptotic models and mathematical methods to correctly identify the mechanical behavior of composites. It provides methodology for predicting and evaluating composite behavior in various structures, leading to accurate mathematical and physical assessments. The book estimates the error of approximations through comparing asymptotic solutions with the results of numerical and analytical solutions to gain a holistic view of the data. The authors have developed asymptotic models based on mathematical and physical rigorous approaches, which include three-phase models of fibrous composites, a modernized three-phase composite model with cylindrical inclusions, and models of two-dimensional composites of hexagonal structure. Also covered are two-phase models of composites related to the Maxwell formula and a percolation transition model for elastic problems based on the self-consistency method and Pad矇 approximations. By obtaining analytical expressions to effectively characterize composite materials, their physical and geometric parameters can be accurately assessed. This book suits engineers and students working in material science, mechanical engineering, physics, and mathematics, as well as composite materials in industries such as construction, transport, aerospace, and chemical engineering.
Problems and Solutions in Many-Particle Systems
Problems and Solutions in Many-Particle Systems
Principles of Continuum Mechanics
This book covers the fundamental aspects of continuum mechanics (tensor methods, kinematics of deformation and motion, forces and balance laws) and includes a modern account of essential aspects of constitutive theory such as frame invariance, material symmetry, constraints, and restrictions imposed by thermodynamics. Recent significant advances in the subject have been incorporated in a pedagogically useful format to facilitate independent study as well as access to the research literature.Recent significant advances in the subject have been incorporated in a pedagogically useful format to facilitate independent study as well as access to research literature. An extensive range of problems are incorporated together with detailed solutions to reinforce concepts introduced in the text, help develop the reader's intuition, and promote engagement with the material.Intended for final year undergraduate and beginning graduate students of engineering and physics, this book provides a concise, rigorous and accessible introduction to continuum mechanics. It will also serve as a reference for researchers, instructors and practitioners.
Principles of Continuum Mechanics
This book covers the fundamental aspects of continuum mechanics (tensor methods, kinematics of deformation and motion, forces and balance laws) and includes a modern account of essential aspects of constitutive theory such as frame invariance, material symmetry, constraints, and restrictions imposed by thermodynamics. Recent significant advances in the subject have been incorporated in a pedagogically useful format to facilitate independent study as well as access to the research literature.Recent significant advances in the subject have been incorporated in a pedagogically useful format to facilitate independent study as well as access to research literature. An extensive range of problems are incorporated together with detailed solutions to reinforce concepts introduced in the text, help develop the reader's intuition, and promote engagement with the material.Intended for final year undergraduate and beginning graduate students of engineering and physics, this book provides a concise, rigorous and accessible introduction to continuum mechanics. It will also serve as a reference for researchers, instructors and practitioners.
Computational Techniques of Rotor Dynamics with the Finite Element Method
Rotor dynamics is both a classical and a modern branch of engineering science. The rotation of rigid bodies, mainly those with regular shapes such as cylinders and shafts, has been well understood for more than a century. However, analyzing the rotational behavior of flexible bodies, especially those with irregular shapes like propellers and blades, requires more modern tools such as finite elements, hence the title and focus of this book.In the dozen years since the original publication, this book was used in teaching engineering students at universities and in consulting in the industry. During those activities, several topics were deemed to require further explanations. Students requested a deeper finite element technology foundation in certain places to make the book self-contained in that regard also. Some desired more details about the computational and numerical solutions. These requests are answered in new sections of this edition. Practicing engineers asked for a detailed industrial application case study and such was added in a new chapter dealing with wind turbines.This book is composed of two parts, the first focusing on the theoretical foundation of rotor dynamics and the second focusing on the engineering analysis of industrial structures. The theoretical foundation is built on physics, calculus, and finite element technology chapters. Computational and numerical techniques provide free vibration and response analyses solutions. The industrial engineering analysis part contains chapters analyzing jet-engine turbine wheels, aircraft propellers, and wind turbine blades. This book concludes with a new industrial case study based on a recent modern wind turbine development project.
Thermal Metamaterials
This book gives a comprehensive review on thermal metamaterials, an emerging type of artificial structures designed for the control of heat transfer. To date, many exciting findings have been made in this field, including some novel understandings about the heat transfer processes (reciprocity, symmetry, topological properties, etc.), as well as promising new possibilities to control heat (cloaking, rectification, collection, etc.). The text is organized into three segments: steady-state, time-harmonic, and transient heat transfer. In Part I, the transformation theory and effective medium method are introduced with their applications on the manipulation of steady-state heat transfer, covering early studies in this field. In Part II, the recently developed thermal scattering theory and temporal modulation method are discussed in the context of controlling time-harmonic heat transfer. In Part III, the effective Hamiltonian method is presented to study the decaying thermal modes in transient heat transfer. We include detailed derivations and examples for each theory or method. The book ends with an outlook chapter on open problems and potential possibilities in this promising field.
Manufacturing Technology
This new edition textbook provides comprehensive knowledge and insight into various aspects of manufacturing technology, processes, materials, tooling, and equipment. Its main objective is to introduce the grand spectrum of manufacturing technology to individuals who will be involved in the design and manufacturing of finished products and to provide them with basic information on manufacturing technologies.Manufacturing Technology: Materials, Processes, and Equipment, Second Edition, is written in a descriptive manner, where the emphasis is on the fundamentals of the process, its capabilities, typical applications, advantages, and limitations. Mathematical modeling and equations are used only when they enhance the basic understanding of the material dealt with. The book is a fundamental textbook that covers all the manufacturing processes, materials, and equipment used to convert the raw materials to a final product. It presents the materials used in manufacturing processes and covers the heat treatment processes, smelting of metals, and other technological processes such as casting, forming, powder metallurgy, joining processes, and surface technology. Manufacturing processes for polymers, ceramics, and composites are also covered.The book also covers surface technology, fundamentals of traditional and nontraditional machining processes, numerical control of machine tools, industrial robots and hexapods, additive manufacturing, and industry 4.0 technologies.The book is written specifically for undergraduates in industrial, manufacturing, mechanical, and materials engineering disciplines of the second to fourth levels to cover complete courses of manufacturing technology taught in engineering colleges and institutions all over the world. It also covers the needs of production and manufacturing engineers and technologists participating in related industries where it is expected to be part of their professional library. Additionally, the book can be used by students in other disciplines concerned with design and manufacturing, such as automotive and aerospace engineering.
Excitons and Cooper Pairs
This book bridges a gap between two major communities of Condensed Matter Physics, Semiconductors and Superconductors, that have thrived independently. Using an original perspective that the key particles of these materials, excitons and Cooper pairs, are composite bosons, the authors raise fundamental questions of current interest: how does the Pauli exclusion principle wield its power on the fermionic components of bosonic particles at a microscopic level and how this affects their macroscopic physics? What can we learn from Wannier and Frenkel excitons and from Cooper pairs that helps us understand "bosonic condensation" of composite bosons and its difference from Bose-Einstein condensation of elementary bosons? The authors begin with a solid mathematical and physical foundation to derive excitons and Cooper pairs. They further introduce Shiva diagrams as a graphic support to grasp the many-body physics induced by fermion exchange in the absence of fermion-fermion interaction - a novel mechanism not visualized by standard Feynman diagrams. Advanced undergraduate or graduate students in physics with no specific background will benefit from this book. The developed concepts and formalism should also be useful for current research on ultracold atomic gases and exciton-polaritons, and quantum information.
From Galileo to Einstein
Our current lives are a result of scientific evolution to which many geniuses in science have contributed. This book describes the lives of great scientists from Galileo to Einstein who made remarkable discoveries in science. By focusing on their stories, the reader will understand that the common trait shared by them in their scientific journey was a genuine enthusiasm to scholarship.The Progress of science is surveyed as follows: Galileo called the father of modern science, expressed natural phenomena with quantitatively measurable quantities, such as weight and length for the first time. Kepler discovered Kepler's laws that explained the movement of celestial bodies. It was however not understood why celestial bodies moved according to Kepler's laws. This problem was elucidated by Newton founding Newtonian mechanics. Electromagnetic phenomena experimentally discovered by Faraday, were theoretically unified by Maxwell who founded electromagnetic theory, constituting the two greatest theories in classical physics together with Newtonian mechanics until the end of nineteenth century.At the end of nineteenth century, two experimental results could not explained by classical physics. The one was the result on the black body radiation. For elucidating the result, Planck in 1900 derived Planck's formula, discovering the concept of "quantum." The other was Michelson-Morley experiment's result supporting relativity principle. For elucidating the result, Einstein developed relativistic theory, constituting the two greatest theories of twentieth century together with quantum mechanics.The readers can understand the progress in physics from classical physics to modern physics, impressed by the lives of geniuses with a genuine enthusiasm to scholarship.
Digital Processing of Acoustic Signals
This book particularly presents basic and novel theories with practical examples of the two main topics: of Digital Processing of Acoustic Signals, such as: Speech and Heart Sounds. Namely: - Digital Room Acoustics Equalization, because in many sound reproduction systems the degradation quality of the speech signal is mainly caused by the room effect, and- Automatic Heart Sounds Segmentation, as it is an essential phase before objective analysis and diagnosis.Homomorphic standard method and its modified version for equalizing room acoustics effects on the speech signal are presented. An alternative approach to the Balanced Model Truncation method (standard method) is proposed. This when compared to the standard method allows reducing substantially the equalization filter order.A novel automatic heart sounds segmentation method is proposed and applied to professional regular rhythms heart sounds of adult patients. Recurrent Neural Network based segmentation is proposed as an alternative method for irregular heart sounds rhymes.This Book is intended for graduate students, lecturers and researchers who want to start-up a research path in such a discipline.
Classical Continuum Mechanics
This book provides physical and mathematical foundation as well as complete derivation of the mathematical descriptions and constitutive theories for deformation of solid and fluent continua, both compressible and incompressible with clear distinction between Lagrangian and Eulerian descriptions as well as co- and contra-variant bases. Definitions of co- and contra-variant tensors and tensor calculus are introduced using curvilinear frame and then specialized for Cartesian frame. Both Galilean and non-Galilean coordinate transformations are presented and used in establishing objective tensors and objective rates. Convected time derivatives are derived using the conventional approach as well as non-Galilean transformation and their significance is illustrated in finite deformation of solid continua as well as in the case of fluent continua.Constitutive theories are derived using entropy inequality and representation theorem. Decomposition of total deformation for solid and fluent continua into volumetric and distortional deformation is essential in providing a sound, general and rigorous framework for deriving constitutive theories. Energy methods and the principle of virtual work are demonstrated to be a small isolated subset of the calculus of variations. Differential form of the mathematical models and calculus of variations preclude energy methods and the principle of virtual work. The material in this book is developed from fundamental concepts at very basic level with gradual progression to advanced topics.This book contains core scientific knowledge associated with mathematical concepts and theories for deforming continuous matter to prepare graduate students for fundamental and basic research in engineering and sciences. The book presents detailed and consistent derivations with clarity and is ideal for self-study.
Nonlinear Dynamics and Vibration Control of Flexible Systems
This book is an essential guide to nonlinear dynamics and vibration control, detailing both the theory and the practical industrial applications within all aspects of engineering. Demonstrating how to improve efficiency through reducing unwanted vibration, it will aid both students and engineers in practically and safely improving flexible structures through control methods. Increasing demand for light-weight robotic systems and space applications has actuated the design and construction of more flexible structures. These flexible structures, involving numerous dynamic systems, experience unwanted vibrations, impacting accuracy, operating speed, safety and, importantly, efficiency. This book aids engineers in assuaging this issue through vibration control methods, including nonlinear dynamics. It covers topics such as dynamic modeling of nonlinear system, nonlinear oscillators, and modal analyses of multiple-mode system. It also looks at vibration control methods including linear control, nonlinear control, intelligent control, and command smoothers. These control methods are effective and reliable methods to counteract unwanted vibrations. The book is practically minded, using industrial applications throughout, such as bridge cranes, tower cranes, aerial cranes and liquid sloshing. It also discusses cable-suspension structures, light-weight links, and fluid motions which exhibit flexible-structure dynamics. The book will be of interest to students and engineers alike, in the field of mechatronics, mechanical systems and signal processing, nonlinear dynamics, vibration, and control engineering.