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Books > Professional & Technical > Mechanical engineering & materials > Materials science > Mechanics of solids > General

Advances in Mechanics of High-Temperature Materials (Paperback, 1st ed. 2020): Konstantin Naumenko, Manja Kruger Advances in Mechanics of High-Temperature Materials (Paperback, 1st ed. 2020)
Konstantin Naumenko, Manja Kruger
R2,886 Discovery Miles 28 860 Ships in 10 - 15 working days

This book presents a collection of contributions on advanced approaches to the mechanics of materials and mechanics of structures for high-temperature applications, such as power plant components, engines and turbochargers. The contributions highlight advanced constitutive models for high-temperature materials, as well as new approaches to the efficient modeling and analysis of engineering structures operating in high-temperature environments.

Geometric Method for Type Synthesis of Parallel Manipulators (Paperback, 1st ed. 2020): Qinchuan Li, Jacques M. Herve, Wei Ye Geometric Method for Type Synthesis of Parallel Manipulators (Paperback, 1st ed. 2020)
Qinchuan Li, Jacques M. Herve, Wei Ye
R2,886 Discovery Miles 28 860 Ships in 10 - 15 working days

This book focuses on the synthesis of lower-mobility parallel manipulators, presenting a group-theory-based method that has the advantage of being geometrically intrinsic. Rotations and translations of a rigid body as well as a combination of the two can be expressed and handled elegantly using the group algebraic structure of the set of rigid-body displacements. The book gathers the authors' research results, which were previously scattered in various journals and conference proceedings, presenting them in a unified form. Using the presented method, it reveals numerous novel architectures of lower-mobility parallel manipulators, which are of interest to those in the robotics community. More importantly, readers can use the method and tool to develop new types of lower-mobility parallel manipulators independently.

Theory of Fractional Engineering Vibrations (Hardcover): Ming Li Theory of Fractional Engineering Vibrations (Hardcover)
Ming Li
R6,235 Discovery Miles 62 350 Ships in 10 - 15 working days

Vibration is important subject in many fields, ranging from mechanical engineering to electronic one. This book aims at giving a combination of conventional linear vibrations with recent fractional ones from a view of engineering. It consists of two parts. One is for conventional linear vibrations in Chapters 1 - 6 based on the authors lectures on the course of ship hull vibrations for undergraduates and postgraduates in Ocean College, Zhejiang University, China. The other, Chapters 7 - 15, contains his research in fractional vibrations. the book is suitable for researchers and graduate students in science and engieering. Preferred preliminaries are calculus, university physics, theoretic mechanics, and material mechanics for readers.

Vibrations and Stability - Advanced Theory, Analysis, and Tools (Hardcover, 3rd ed. 2021): Jon Juel Thomsen Vibrations and Stability - Advanced Theory, Analysis, and Tools (Hardcover, 3rd ed. 2021)
Jon Juel Thomsen
R3,493 Discovery Miles 34 930 Ships in 10 - 15 working days

An ideal text for students that ties together classical and modern topics of advanced vibration analysis in an interesting and lucid manner. It provides students with a background in elementary vibrations with the tools necessary for understanding and analyzing more complex dynamical phenomena that can be encountered in engineering and scientific practice. It progresses steadily from linear vibration theory over various levels of nonlinearity to bifurcation analysis, global dynamics and chaotic vibrations. It trains the student to analyze simple models, recognize nonlinear phenomena and work with advanced tools such as perturbation analysis and bifurcation analysis. Explaining theory in terms of relevant examples from real systems, this book is user-friendly and meets the increasing interest in non-linear dynamics in mechanical/structural engineering and applied mathematics and physics. This edition includes a new chapter on the useful effects of fast vibrations and many new exercise problems.

Space Robotics (Hardcover, 1st ed. 2021): Yaobing Wang Space Robotics (Hardcover, 1st ed. 2021)
Yaobing Wang
R5,181 Discovery Miles 51 810 Ships in 10 - 15 working days

This book provides readers with basic concepts and design theories for space robots and presents essential methodologies for implementing space robot engineering by introducing several concrete projects as illustrative examples. Readers will gain a comprehensive understanding of professional theories in the field of space robots, and will find an initial introduction to the engineering processes involved in developing space robots. Rapid advances in technologies such as the Internet of Things, Cloud Computing, and Artificial Intelligence have also produced profound changes in space robots. With the continuous expansion of human exploration of the universe, it is imperative for space robots to be capable of sharing knowledge, working collaboratively, and becoming more and more intelligent so as to optimize the utilization of space resources. For on-orbit robots that perform service tasks such as spacecraft assembly and maintenance, as well as exploration robots that carry out research tasks on planetary surfaces, the rational integration into a network system can greatly improve their capabilities in connection with executing outer space tasks, such as information gathering and utilization, independent decision-making and planning, risk avoidance, and reliability, while also significantly reducing resource consumption for the system as a whole.

ICAF 2019 - Structural Integrity in the Age of Additive Manufacturing - Proceedings of the 30th Symposium of the International... ICAF 2019 - Structural Integrity in the Age of Additive Manufacturing - Proceedings of the 30th Symposium of the International Committee on Aeronautical Fatigue, June 2-7, 2019, Krakow, Poland (Paperback, 1st ed. 2020)
Antoni Niepokolczycki, Jerzy Komorowski
R8,619 Discovery Miles 86 190 Ships in 10 - 15 working days

This book gathers papers presented at the 36th conference and 30th Symposium of the International Committee on Aeronautical Fatigue and Structural integrity. Focusing on the main theme of "Structural Integrity in the Age of Additive Manufacturing", the chapters cover different aspects concerning research, developments and challenges in this field, offering a timely reference guide to designers, regulators, manufacturer, and both researchers and professionals of the broad aerospace community.

Structural Integrity Assessment of Engineering Components Under Cyclic Contact (Paperback, 1st ed. 2020): Oleksandra Datsyshyn,... Structural Integrity Assessment of Engineering Components Under Cyclic Contact (Paperback, 1st ed. 2020)
Oleksandra Datsyshyn, Volodymyr Panasyuk
R2,897 Discovery Miles 28 970 Ships in 10 - 15 working days

This book focuses on surface layers fracture of cyclical contacting bodies (machine parts). Calculation models and calculating procedures of stress-strain states of cyclically contacting solids with cracks, are included. Recommendations for the optimization of operating parameters of joints (contact stresses magnitude, friction/lubrication conditions, materials crack resistance etc) for elements of rolling pairs (wheel-rail systems, backup roll - working roll of rolling mills etc.) and some fretting pairs are formulated.

Recent Developments of Soil Mechanics and Geotechnics in Theory and Practice (Paperback, 1st ed. 2020): Theodoros... Recent Developments of Soil Mechanics and Geotechnics in Theory and Practice (Paperback, 1st ed. 2020)
Theodoros Triantafyllidis
R5,657 Discovery Miles 56 570 Ships in 10 - 15 working days

This book provides essential insights into recent developments in fundamental geotechnical engineering research. Special emphasis is given to a new family of constitutive soil description methods, which take into account the recent loading history and the dilatancy effects. Particular attention is also paid to the numerical implementation of multi-phase material under dynamic loads, and to geotechnical installation processes. In turn, the book addresses implementation problems concerning large deformations in soils during piling operations or densification processes, and discusses the limitations of the respective methods. Numerical simulations of dynamic consolidation processes are presented in slope stability analysis under seismic excitation. Lastly, achieving the energy transition from conventional to renewable sources will call for geotechnical expertise. Consequently, the book explores and analyzes a selection of interesting problems involving the stability and serviceability of supporting structures, and provides new solutions approaches for practitioners and scientists in geotechnical engineering. The content reflects the outcomes of the Colloquium on Geotechnical Engineering 2019 (Geotechnik Kolloquium), held in Karlsruhe, Germany in September 2019.

New Trends in Mechanism and Machine Science - EuCoMeS (Hardcover, 1st ed. 2020): Doina Pisla, Burkhard Corves, Calin Vaida New Trends in Mechanism and Machine Science - EuCoMeS (Hardcover, 1st ed. 2020)
Doina Pisla, Burkhard Corves, Calin Vaida
R5,730 Discovery Miles 57 300 Ships in 10 - 15 working days

This volume presents the latest research and industrial applications in the areas of mechanism science, robotics and dynamics. The respective contributions cover such topics as computational kinematics, control issues in mechanical systems, mechanisms for medical rehabilitation, mechanisms for minimally invasive techniques, cable robots, design issues for mechanisms and robots, and the teaching and history of mechanisms. Written by leading researchers and engineers, and selected by means of a rigorous international peer-review process, the papers highlight numerous exciting ideas that will spur novel research directions and foster multidisciplinary collaborations. They reflect the outcomes of the 8th European Conference on Mechanism Science (EuCoMeS) in 2020.

Advances in Computer Methods and Geomechanics - IACMAG Symposium 2019 Volume 2 (Paperback, 1st ed. 2020): Amit Prashant, Ajanta... Advances in Computer Methods and Geomechanics - IACMAG Symposium 2019 Volume 2 (Paperback, 1st ed. 2020)
Amit Prashant, Ajanta Sachan, Chandrakant S. Desai
R8,490 Discovery Miles 84 900 Ships in 10 - 15 working days

This volume presents selected papers from IACMAG Symposium,The major themes covered in this conference are Earthquake Engineering, Ground Improvement and Constitutive Modelling. This volume will be of interest to researchers and practitioners in geotechnical and geomechanical engineering.

Materials and Strength of Gas Turbine Parts - Volume 1: Materials, Properties, Damage, Deformation and Fracture Models... Materials and Strength of Gas Turbine Parts - Volume 1: Materials, Properties, Damage, Deformation and Fracture Models (Hardcover, 1st ed. 2021)
Leonid Borisovich Getsov; Edited by Holm Altenbach, Konstantin Naumenko; Translated by Holm Altenbach, Konstantin Naumenko
R5,216 Discovery Miles 52 160 Ships in 10 - 15 working days

This book discusses several mechanical and material problems that are typical for gas turbine components. It discusses accelerated tests and other methods for increasing the reliability of gas turbine engines. Special attention is given to non-traditional methods for calculating the strength characteristics and longevity of the main components. This first volume focuses on the selection of materials, deformation and destruction mechanisms in connection with stationary and non-stationary loading, and types of material damage such as the thermal fatigue. Particular attention is paid to the issues of the properties of single crystal alloys, the relationship between structure and properties, the influence of technological factors and long-term operation. The characteristics of creep resistance, crack resistance, and resistance to cyclic deformation of different alloys are given.

Multi-scale Extracellular Matrix Mechanics and Mechanobiology (Paperback, 1st ed. 2020): Yanhang Zhang Multi-scale Extracellular Matrix Mechanics and Mechanobiology (Paperback, 1st ed. 2020)
Yanhang Zhang
R2,921 Discovery Miles 29 210 Ships in 10 - 15 working days

This book describes the current state of knowledge in the field of multi-scale ECM mechanics and mechanobiology with a focus on experimental and modelling studies in biomechanical characterization, advanced optical microscopy and imaging, as well as computational modeling. This book also discusses the scale dependency of ECM mechanics, translation of mechanical forces from tissue to cellular level, and advances and challenges in improving our understanding of cellular mechanotransduction in the context of living tissues and organisms.

Wavelet Numerical Method and Its Applications in Nonlinear Problems (Hardcover, 1st ed. 2021): You-He Zhou Wavelet Numerical Method and Its Applications in Nonlinear Problems (Hardcover, 1st ed. 2021)
You-He Zhou
R5,216 Discovery Miles 52 160 Ships in 10 - 15 working days

This book summarizes the basic theory of wavelets and some related algorithms in an easy-to-understand language from the perspective of an engineer rather than a mathematician. In this book, the wavelet solution schemes are systematically established and introduced for solving general linear and nonlinear initial boundary value problems in engineering, including the technique of boundary extension in approximating interval-bounded functions, the calculation method for various connection coefficients, the single-point Gaussian integration method in calculating the coefficients of wavelet expansions and unique treatments on nonlinear terms in differential equations. At the same time, this book is supplemented by a large number of numerical examples to specifically explain procedures and characteristics of the method, as well as detailed treatments for specific problems. Different from most of the current monographs focusing on the basic theory of wavelets, it focuses on the use of wavelet-based numerical methods developed by the author over the years. Even for the necessary basic theory of wavelet in engineering applications, this book is based on the author's own understanding in plain language, instead of a relatively difficult professional mathematical description. This book is very suitable for students, researchers and technical personnel who only want to need the minimal knowledge of wavelet method to solve specific problems in engineering.

The Generalized Fourier Series Method - Bending of Elastic Plates (Hardcover, 1st ed. 2020): Christian Constanda, Dale Doty The Generalized Fourier Series Method - Bending of Elastic Plates (Hardcover, 1st ed. 2020)
Christian Constanda, Dale Doty
R1,544 Discovery Miles 15 440 Ships in 10 - 15 working days

This book explains in detail the generalized Fourier series technique for the approximate solution of a mathematical model governed by a linear elliptic partial differential equation or system with constant coefficients. The power, sophistication, and adaptability of the method are illustrated in application to the theory of plates with transverse shear deformation, chosen because of its complexity and special features. In a clear and accessible style, the authors show how the building blocks of the method are developed, and comment on the advantages of this procedure over other numerical approaches. An extensive discussion of the computational algorithms is presented, which encompasses their structure, operation, and accuracy in relation to several appropriately selected examples of classical boundary value problems in both finite and infinite domains. The systematic description of the technique, complemented by explanations of the use of the underlying software, will help the readers create their own codes to find approximate solutions to other similar models. The work is aimed at a diverse readership, including advanced undergraduates, graduate students, general scientific researchers, and engineers. The book strikes a good balance between the theoretical results and the use of appropriate numerical applications. The first chapter gives a detailed presentation of the differential equations of the mathematical model, and of the associated boundary value problems with Dirichlet, Neumann, and Robin conditions. The second chapter presents the fundamentals of generalized Fourier series, and some appropriate techniques for orthonormalizing a complete set of functions in a Hilbert space. Each of the remaining six chapters deals with one of the combinations of domain-type (interior or exterior) and nature of the prescribed conditions on the boundary. The appendices are designed to give insight into some of the computational issues that arise from the use of the numerical methods described in the book. Readers may also want to reference the authors' other books Mathematical Methods for Elastic Plates, ISBN: 978-1-4471-6433-3 and Boundary Integral Equation Methods and Numerical Solutions: Thin Plates on an Elastic Foundation, ISBN: 978-3-319-26307-6.

Fracture of Materials Under Compression Along Cracks (Hardcover, 1st ed. 2020): Aleksander N. Guz, Viacheslav L. Bogdanov,... Fracture of Materials Under Compression Along Cracks (Hardcover, 1st ed. 2020)
Aleksander N. Guz, Viacheslav L. Bogdanov, Vladimir M. Nazarenko
R4,474 Discovery Miles 44 740 Ships in 10 - 15 working days

This book addresses the problems of fracture mechanics of materials with cracks under the loading directed along the cracks. It considers two non-classical fracture mechanisms, namely the fracture of bodies compressed along cracks and the fracture of materials with initial (residual) stresses acting in parallel to the surfaces of cracks location, and presents new approaches (also including combined one) developed in the framework of three-dimensional linearized mechanics of deformable bodies. It then discusses the results of studies on two- and three-dimensional problems for various configurations of crack locations in isotropic and anisotropic materials, and based on these results, critically evaluates the accuracy and applicability limits of the "beam approximation" approach, which is widely used to study various problems of the fracture of bodies under compression along parallel cracks.

Industrial Applications of Adhesives - 1st International Conference on Industrial Applications of Adhesives (Hardcover, 1st ed.... Industrial Applications of Adhesives - 1st International Conference on Industrial Applications of Adhesives (Hardcover, 1st ed. 2021)
Lucas F. M. da Silva, Robert D. Adams, Chiaki Sato, Klaus Dilger
R4,377 Discovery Miles 43 770 Ships in 10 - 15 working days

This book gathers selected papers presented at the 1st International Conference on Industrial Applications of Adhesives 2020 (IAA 2020). It covers a wide range of topics, including adhesive curing for electronic and automotive industries; adhesive testing with a torsion machine for rigorous mechanical properties determination; joint design using innovative techniques such as the meshless method; design methodologies in the automotive industry for joints under impact; temperature effects in joints typically found in civil engineering; and advanced nondestructive techniques such as terahertz spectroscopy to assess the durability of adhesive joints. Providing a review of the state-of the art in industrial applications of adhesives, the book serves as a valuable reference resource for researchers and graduate students interested in adhesive bonding.

Advanced Problems in Mechanics - Proceedings of the XLVII International Summer School-Conference "Advanced Problems in... Advanced Problems in Mechanics - Proceedings of the XLVII International Summer School-Conference "Advanced Problems in Mechanics", June 24-29, 2019, St. Petersburg, Russia (Paperback, 1st ed. 2020)
D.A. Indeitsev, A. M. Krivtsov
R4,377 Discovery Miles 43 770 Ships in 10 - 15 working days

This book focuses on original theories and approaches in the field of mechanics. It reports on both theoretical and applied research, with a special emphasis on problems and solutions at the interfaces of mechanics and other research areas. The respective chapters highlight cutting-edge works fostering development in fields such as micro- and nanomechanics, material science, physics of solid states, molecular physics, astrophysics, and many others. Special attention has been given to outstanding research conducted by young scientists from all over the world. Based on the 47th edition of the international conference "Advanced Problems in Mechanics", held on June 24-29, 2019, in St. Petersburg, Russia, and organized by Peter the Great St. Petersburg Polytechnic University and Institute for Problems in Mechanical Engineering of Russian Academy of Sciences under the patronage of Russian Academy of Sciences, the book provides researchers and graduate students with an extensive overview of the latest research and a source of inspiration for future developments in various fields of mechanics.

Time-Dependent Mechanical Behavior of Ceramic-Matrix Composites at Elevated Temperatures (Hardcover, 1st ed. 2020): Longbiao Li Time-Dependent Mechanical Behavior of Ceramic-Matrix Composites at Elevated Temperatures (Hardcover, 1st ed. 2020)
Longbiao Li
R5,179 Discovery Miles 51 790 Ships in 10 - 15 working days

This book investigates the time-dependent behavior of fiber-reinforced ceramic-matrix composites (CMCs) at elevated temperatures. The author combines the time-dependent damage mechanisms of interface and fiber oxidation and fracture with the micromechanical approach to establish the relationships between the first matrix cracking stress, matrix multiple cracking evolution, tensile strength, tensile stress-strain curves and tensile fatigue of fiber-reinforced CMCs and time. Then, using damage models of energy balance, the fracture mechanics approach, critical matrix strain energy criterion, Global Load Sharing criterion, and hysteresis loops he determines the first matrix cracking stress, interface debonded length, matrix cracking density, fibers failure probability, tensile strength, tensile stress-strain curves and fatigue hysteresis loops. Lastly, he predicts the time-dependent mechanical behavior of different fiber-reinforced CMCs, i.e., C/SiC and SiC/SiC, using the developed approaches, in order to reduce the failure risk during the operation of aero engines. The book is intended for undergraduate and graduate students who are interested in the mechanical behavior of CMCs, researchers investigating the damage evolution of CMCs at elevated temperatures, and designers responsible for hot-section CMC components in aero engines.

Proceedings of International Conference on Intelligent Manufacturing and Automation - ICIMA 2020 (Paperback, 1st ed. 2020):... Proceedings of International Conference on Intelligent Manufacturing and Automation - ICIMA 2020 (Paperback, 1st ed. 2020)
Hari Vasudevan, Vijaya Kumar N. Kottur, Amool A Raina
R4,557 Discovery Miles 45 570 Ships in 10 - 15 working days

This book gathers selected papers presented at the Second International Conference on Intelligent Manufacturing and Automation (ICIMA 2020), which was jointly organized by the Departments of Mechanical Engineering and Production Engineering at Dwarkadas J. Sanghvi College of Engineering (DJSCE), Mumbai, and by the Indian Society of Manufacturing Engineers (ISME). Covering a range of topics in intelligent manufacturing, automation, advanced materials and design, it focuses on the latest advances in e.g. CAD/CAM/CAE/CIM/FMS in manufacturing, artificial intelligence in manufacturing, IoT in manufacturing, product design & development, DFM/DFA/FMEA, MEMS & nanotechnology, rapid prototyping, computational techniques, nano- & micro-machining, sustainable manufacturing, industrial engineering, manufacturing process management, modelling & optimization techniques, CRM, MRP & ERP, green, lean & agile manufacturing, logistics & supply chain management, quality assurance & environmental protection, advanced material processing & characterization of composite & smart materials. The book is intended as a reference guide for future researchers, and as a valuable resource for students in graduate and doctoral programmes.

Analysis of Shells, Plates, and Beams - A State of the Art Report (Hardcover, 1st ed. 2020): Holm Altenbach, Natalia... Analysis of Shells, Plates, and Beams - A State of the Art Report (Hardcover, 1st ed. 2020)
Holm Altenbach, Natalia Chinchaladze, Reinhold Kienzler, Wolfgang H. Muller
R5,218 Discovery Miles 52 180 Ships in 10 - 15 working days

This book commemorates the 75th birthday of Prof. George Jaiani - Georgia's leading expert on shell theory. He is also well known outside Georgia for his individual approach to shell theory research and as an organizer of meetings, conferences and schools in the field. The collection of papers presented includes articles by scientists from various countries discussing the state of the art and new trends in the theory of shells, plates, and beams. Chapter 20 is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.

Machine Design Data Book (Hardcover): P V Ramana Murti, Vidyasagar M Machine Design Data Book (Hardcover)
P V Ramana Murti, Vidyasagar M
R1,243 R1,036 Discovery Miles 10 360 Save R207 (17%) Ships in 10 - 15 working days
Developments and Novel Approaches in Nonlinear Solid Body Mechanics (Hardcover, 1st ed. 2020): Bilen Emek Abali, Ivan Giorgio Developments and Novel Approaches in Nonlinear Solid Body Mechanics (Hardcover, 1st ed. 2020)
Bilen Emek Abali, Ivan Giorgio
R5,222 Discovery Miles 52 220 Ships in 10 - 15 working days

This book features selected manuscripts presented at ICoNSoM 2019, exploring cutting-edge methods for developing novel models in nonlinear solid mechanics. Innovative methods like additive manufacturing-for example, 3D printing- and miniaturization mean that engineers need more accurate techniques for modeling solid body mechanics. The book focuses on the formulation of continuum and discrete models for complex materials and systems, particularly the design of metamaterials.

Proceedings of the Third International Conference on Theoretical, Applied and Experimental Mechanics (Hardcover, 1st ed. 2020):... Proceedings of the Third International Conference on Theoretical, Applied and Experimental Mechanics (Hardcover, 1st ed. 2020)
Emmanuel Gdoutos, Maria Konsta-Gdoutos
R5,670 Discovery Miles 56 700 Ships in 10 - 15 working days

This book presents the proceedings of the 3rd edition of the International Conference on Theoretical, Applied and Experimental Mechanics. The papers focus on all aspects of theoretical, applied and experimental mechanics, including biomechanics, composite materials, computational mechanics, constitutive modeling of materials, dynamics, elasticity, experimental mechanics, fracture mechanics, mechanical properties of materials, micromechanics, nanomechanics, plasticity, stress analysis, structures, wave propagation.

Applications of Vector Analysis and Complex Variables in Engineering (Hardcover, 1st ed. 2020): Otto D.L. Strack Applications of Vector Analysis and Complex Variables in Engineering (Hardcover, 1st ed. 2020)
Otto D.L. Strack
R2,683 Discovery Miles 26 830 Ships in 10 - 15 working days

This textbook presents the application of mathematical methods and theorems tosolve engineering problems, rather than focusing on mathematical proofs. Applications of Vector Analysis and Complex Variables in Engineering explains the mathematical principles in a manner suitable for engineering students, who generally think quite differently than students of mathematics. The objective is to emphasize mathematical methods and applications, rather than emphasizing general theorems and principles, for which the reader is referred to the literature. Vector analysis plays an important role in engineering, and is presented in terms of indicial notation, making use of the Einstein summation convention. This text differs from most texts in that symbolic vector notation is completely avoided, as suggested in the textbooks on tensor algebra and analysis written in German by Duschek and Hochreiner, in the 1960s. The defining properties of vector fields, the divergence and curl, are introduced in terms of fluid mechanics. The integral theorems of Gauss (the divergence theorem), Stokes, and Green are introduced also in the context of fluid mechanics. The final application of vector analysis consists of the introduction of non-Cartesian coordinate systems with straight axes, the formal definition of vectors and tensors. The stress and strain tensors are defined as an application. Partial differential equations of the first and second order are discussed. Two-dimensional linear partial differential equations of the second order are covered, emphasizing the three types of equation: hyperbolic, parabolic, and elliptic. The hyperbolic partial differential equations have two real characteristic directions, and writing the equations along these directions simplifies the solution process. The parabolic partial differential equations have two coinciding characteristics; this gives useful information regarding the character of the equation, but does not help in solving problems. The elliptic partial differential equations do not have real characteristics. In contrast to most texts, rather than abandoning the idea of using characteristics, here the complex characteristics are determined, and the differential equations are written along these characteristics. This leads to a generalized complex variable system, introduced by Wirtinger. The vector field is written in terms of a complex velocity, and the divergence and the curl of the vector field is written in complex form, reducing both equations to a single one. Complex variable methods are applied to elliptical problems in fluid mechanics, and linear elasticity. The techniques presented for solving parabolic problems are the Laplace transform and separation of variables, illustrated for problems of heat flow and soil mechanics. Hyperbolic problems of vibrating strings and bars, governed by the wave equation are solved by the method of characteristics as well as by Laplace transform. The method of characteristics for quasi-linear hyperbolic partial differential equations is illustrated for the case of a failing granular material, such as sand, underneath a strip footing. The Navier Stokes equations are derived and discussed in the final chapter as an illustration of a highly non-linear set of partial differential equations and the solutions are interpreted by illustrating the role of rotation (curl) in energy transfer of a fluid.

Concrete Durability and Service Life Planning - Proceedings of ConcreteLife'20 (Hardcover, 1st ed. 2020): Konstantin... Concrete Durability and Service Life Planning - Proceedings of ConcreteLife'20 (Hardcover, 1st ed. 2020)
Konstantin Kovler, Semion Zhutovsky, Sabrina Spatari, Ole M. Jensen
R4,380 Discovery Miles 43 800 Ships in 10 - 15 working days

This volume gathers the proceedings of the 3rd International RILEM Workshop on Concrete Durability and Service Life Planning (ConcreteLife'20), held in Haifa, Israel in January 2020. The papers cover a range of topics in concrete curing, cracking in concrete structures, corrosion of steel in concrete, thermal and hygral effects, concrete in cold climates and under high temperatures, recycling, alkali-silica reactions, chloride and sulfate attacks, marine structures, transport phenomena, durability design, microstructure of concrete and volume changes, and life cycle assessment. The book also explores future trends in research, development, and practical engineering applications related to durable concrete construction, and focuses on the design and construction of concrete structures exposed to various environmental conditions and mechanical loading. Given its scope, it offers a valuable asset for all researchers and graduate students in the areas of cement chemistry, cement production, and concrete design.

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