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

Analysis and Synthesis of Dynamic Systems with Positive Characteristics (Hardcover, 1st ed. 2017): Jun Shen Analysis and Synthesis of Dynamic Systems with Positive Characteristics (Hardcover, 1st ed. 2017)
Jun Shen
R3,440 Discovery Miles 34 400 Ships in 12 - 19 working days

This thesis develops several systematic and unified approaches for analyzing dynamic systems with positive characteristics or a more general cone invariance property. Based on these analysis results, it uses linear programming tools to address static output feedback synthesis problems with a focus on optimal gain performances. Owing to their low computational complexity, the established controller design algorithms are applicable for large-scale systems. The theory and control strategies developed will not only be useful in handling large-scale positive delay systems with improved solvability and at lower cost, but also further our understanding of the system characteristics in other related areas, such as distributed coordination of networked multi-agent systems, formation control of multiple robots.

Structures: A Studio Approach (Hardcover, 1st ed. 2020): Edmond Saliklis Structures: A Studio Approach (Hardcover, 1st ed. 2020)
Edmond Saliklis
R2,208 Discovery Miles 22 080 Ships in 12 - 19 working days

Understanding how gravity loads and wind and earthquake loads flow through a building is of utmost importance to all structural engineers and architects. Paradoxically, this critical idea is practically not addressed in any textbook on the market. Meant as a companion to the author's Structures: A Geometric Approach, this textbook fills that need with qualitative techniques as well as quantitative tools that use state of the art visual representation of forces and deformations in structures. Structures: A Studio Approach reaches out to both structural engineers and designers by presenting structural engineering topics in an interdisciplinary studio environment. Using many graphical techniques, it offers a very rigorous approach, but also enables creativity. Cutting edge finite element as well as parametric modeling tools are used, and state of the art visual representations of force flow help both groups of students realize that understanding three dimensional load flow in a building is a requirement for channeling that flow in a structurally efficient and visually expressive manner. Ultimately, the reader is able to develop a unique structural sensibility; an ethos that places structural design on an equal footing with the design of program, skin, massing and site.

Finite Elements in Structural Analysis - Theoretical Concepts and Modeling Procedures in Statics and Dynamics of Structures... Finite Elements in Structural Analysis - Theoretical Concepts and Modeling Procedures in Statics and Dynamics of Structures (Hardcover, 1st ed. 2021)
Horst Werkle
R2,922 Discovery Miles 29 220 Ships in 12 - 19 working days

The book introduces the basic concepts of the finite element method in the static and dynamic analysis of beam, plate, shell and solid structures, discussing how the method works, the characteristics of a finite element approximation and how to avoid the pitfalls of finite element modeling. Presenting the finite element theory as simply as possible, the book allows readers to gain the knowledge required when applying powerful FEA software tools. Further, it describes modeling procedures, especially for reinforced concrete structures, as well as structural dynamics methods, with a particular focus on the seismic analysis of buildings, and explores the modeling of dynamic systems. Featuring numerous illustrative examples, the book allows readers to easily grasp the fundamentals of the finite element theory and to apply the finite element method proficiently.

Physiological Aspects of Legged Terrestrial Locomotion - The Motor and the Machine (Hardcover, 1st ed. 2017): Giovanni Cavagna Physiological Aspects of Legged Terrestrial Locomotion - The Motor and the Machine (Hardcover, 1st ed. 2017)
Giovanni Cavagna
R4,401 Discovery Miles 44 010 Ships in 10 - 15 working days

This book offers a succinct but comprehensive description of the mechanics of muscle contraction and legged terrestrial locomotion. It describes on the one hand how the fundamental properties of muscle tissue affect the mechanics of locomotion, and on the other, how the mechanics of locomotion modify the mechanism of muscle operation under different conditions. Further, the book reports on the design and results of experiments conducted with two goals. The first was to describe the physiological function of muscle tissue (which may be considered as the "motor") contracting at a constant length, during shortening, during lengthening, and under a condition that occurs most frequently in the back-and-forth movement of the limbs during locomotion, namely the stretch-shortening cycle of the active muscle. The second objective was to analyze the interaction between the motor and the "machine" (the skeletal lever system) during walking and running in different scenarios with respect to speed, step frequency, body mass, gravity, age, and pathological gait. The book will be of considerable interest to physiology, biology and physics students, and provides researchers with stimuli for further experimental and analytical work.

Deformation and Fracture of Solid-State Materials - Field Theoretical Approach and Engineering Applications (Hardcover, 2015... Deformation and Fracture of Solid-State Materials - Field Theoretical Approach and Engineering Applications (Hardcover, 2015 ed.)
Sanichiro Yoshida
R4,193 R3,599 Discovery Miles 35 990 Save R594 (14%) Ships in 12 - 19 working days

This volume introduces a comprehensive theory of deformation and fracture to engineers and applied scientists. Here "comprehensive" means that the theory can describe all stages of deformation from elastic to plastic and plastic to fracturing stage on the same basis (equations). The comprehensive approach is possible because the theory is based on a fundamental physical principle called the local symmetry, or gauge invariance, as opposed to phenomenology. Professor Yoshida explains the gist of local symmetry (gauge invariance) intuitively so that engineers and applied physicists can digest it easily, rather than describing physical or mathematical details of the principle. The author also describes applications of the theory to practical engineering, such as nondestructive testing in particular, with the use of an optical interferometric technique called ESPI (Electronic Speckle-Pattern Interferometry).The book is not a manual of applications. Instead, it provides information on how to apply physical concepts to engineering applications.

Analysis and Synthesis of Delta Operator Systems with Actuator Saturation (Hardcover, 1st ed. 2019): Hongjiu Yang, Yuanqing... Analysis and Synthesis of Delta Operator Systems with Actuator Saturation (Hardcover, 1st ed. 2019)
Hongjiu Yang, Yuanqing Xia, Qing Geng
R2,945 Discovery Miles 29 450 Ships in 10 - 15 working days

This book presents basic research on delta operator systems (DOS) with actuator saturation. It proposes null controllable regions of delta operator systems, introduces the enlarging of the domain of attraction and analyzes the performance of DOSs subject to actuator saturation. It also discusses the domain of attraction on different systems in delta domain, and investigates the applications in complicated systems using delta operator approaches.

Piezoelectric Ceramic Resonators (Hardcover, 1st ed. 2017): Jiri Erhart, Petr Pulpan, Martin Pustka Piezoelectric Ceramic Resonators (Hardcover, 1st ed. 2017)
Jiri Erhart, Petr Pulpan, Martin Pustka
R3,581 Discovery Miles 35 810 Ships in 12 - 19 working days

This book helps the reader to understand the specific properties of piezoelectric ceramic resonators. It provides their theoretical description by immitance and equivalent circuit method. The nummerical modelling described is accompanied by examples of properties measured experimentally. Piezoelectric ceramic transformers are also covered, followed by a series of solved and unsolved problems prepared specially for students.

Variational Analysis and Aerospace Engineering - Mathematical Challenges for the Aerospace of the Future (Hardcover, 1st ed.... Variational Analysis and Aerospace Engineering - Mathematical Challenges for the Aerospace of the Future (Hardcover, 1st ed. 2016)
Aldo Frediani, Bijan Mohammadi, Olivier Pironneau, Vittorio Cipolla
R4,463 R3,893 Discovery Miles 38 930 Save R570 (13%) Ships in 12 - 19 working days

This book presents papers surrounding the extensive discussions that took place from the 'Variational Analysis and Aerospace Engineering' workshop held at the Ettore Majorana Foundation and Centre for Scientific Culture in 2015. Contributions to this volume focus on advanced mathematical methods in aerospace engineering and industrial engineering such as computational fluid dynamics methods, optimization methods in aerodynamics, optimum controls, dynamic systems, the theory of structures, space missions, flight mechanics, control theory, algebraic geometry for CAD applications, and variational methods and applications. Advanced graduate students, researchers, and professionals in mathematics and engineering will find this volume useful as it illustrates current collaborative research projects in applied mathematics and aerospace engineering.

Stability Analysis of Neural Networks (Hardcover, 1st ed. 2021): Grienggrai Rajchakit, Praveen Agarwal, Sriraman Ramalingam Stability Analysis of Neural Networks (Hardcover, 1st ed. 2021)
Grienggrai Rajchakit, Praveen Agarwal, Sriraman Ramalingam
R3,681 Discovery Miles 36 810 Ships in 10 - 15 working days

This book discusses recent research on the stability of various neural networks with constrained signals. It investigates stability problems for delayed dynamical systems where the main purpose of the research is to reduce the conservativeness of the stability criteria. The book mainly focuses on the qualitative stability analysis of continuous-time as well as discrete-time neural networks with delays by presenting the theoretical development and real-life applications in these research areas. The discussed stability concept is in the sense of Lyapunov, and, naturally, the proof method is based on the Lyapunov stability theory. The present book will serve as a guide to enable the reader in pursuing the study of further topics in greater depth and is a valuable reference for young researcher and scientists.

Advances in Fluid-Structure Interaction - Updated contributions reflecting new findings presented at the ERCOFTAC Symposium on... Advances in Fluid-Structure Interaction - Updated contributions reflecting new findings presented at the ERCOFTAC Symposium on Unsteady Separation in Fluid-Structure Interaction, 17-21 June 2013, St John Resort, Mykonos, Greece (Hardcover, 1st ed. 2016)
Marianna Braza, Alessandro Bottaro, Mark Thompson
R7,716 R6,785 Discovery Miles 67 850 Save R931 (12%) Ships in 12 - 19 working days

This book addresses flow separation within the context of fluid-structure interaction phenomena. Here, new findings from two research communities focusing on fluids and structures are brought together, emphasizing the importance of a unified multidisciplinary approach. The book covers the theory, experimental findings, numerical simulations, and modeling in fluid dynamics and structural mechanics for both incompressible and compressible separated unsteady flows. There is a focus on the morphing of lifting structures in order to increase their aerodynamic and/or hydrodynamic performances, to control separation and to reduce noise, as well as to inspire the design of novel structures. The different chapters are based on contributions presented at the ERCOFTAC Symposium on Unsteady Separation in Fluid-Structure Interaction held in Mykonos, Greece, 17-21 June, 2013 and include extended discussions and new highlights. The book is intended for students, researchers and practitioners in the broad field of computational fluid dynamics and computational structural mechanics. It aims at supporting them while dealing with practical issues, such as developing control strategies for unsteady separation and applying smart materials and biomimetic approaches for design and control.

Robust Control of Linear Descriptor Systems (Hardcover, 1st ed. 2017): Yu Feng, Mohamed Yagoubi Robust Control of Linear Descriptor Systems (Hardcover, 1st ed. 2017)
Yu Feng, Mohamed Yagoubi
R3,986 Discovery Miles 39 860 Ships in 10 - 15 working days

This book develops original results regarding singular dynamic systems following two different paths. The first consists of generalizing results from classical state-space cases to linear descriptor systems, such as dilated linear matrix inequality (LMI) characterizations for descriptor systems and performance control under regulation constraints. The second is a new path, which considers descriptor systems as a powerful tool for conceiving new control laws, understanding and deciphering some controller's architecture and even homogenizing different-existing-ways of obtaining some new and/or known results for state-space systems. The book also highlights the comprehensive control problem for descriptor systems as an example of using the descriptor framework in order to transform a non-standard control problem into a classic stabilization control problem. In another section, an accurate solution is derived for the sensitivity constrained linear optimal control also using the descriptor framework. The book is intended for graduate and postgraduate students, as well as researchers in the field of systems and control theory.

Size Effect in Concrete Materials and Structures (Hardcover, 1st ed. 2021): Xiuli Du, Liu Jin Size Effect in Concrete Materials and Structures (Hardcover, 1st ed. 2021)
Xiuli Du, Liu Jin
R5,701 Discovery Miles 57 010 Ships in 10 - 15 working days

The present book gathers a large amount of the recent research results on this topic to provide a better understanding of the size effect by giving a quantitative description of the relationship between the properties of engineering concrete-making material (e.g. the nominal strength) and the corresponding structure size. To be precise, this is about to explore the new static and dynamic unified size effect laws for concrete materials, as well as size effect laws for concrete components. Besides presenting clear and accurate descriptions that further deepen our fundamental knowledge, this book provides additionally useful tools for the scientific design of concrete structures in practical engineering applications.

Blast Mitigation Strategies in Marine Composite and Sandwich Structures (Hardcover, 1st ed. 2018): Srinivasan Gopalakrishnan,... Blast Mitigation Strategies in Marine Composite and Sandwich Structures (Hardcover, 1st ed. 2018)
Srinivasan Gopalakrishnan, Yapa Rajapakse
R6,418 Discovery Miles 64 180 Ships in 10 - 15 working days

This book primarily focuses on methodologies to enable marine structures to resist high velocity impact loadings. It is based on invited talks presented at the recent India-USA workshop on "Recent Advances in Blast Mitigation Strategies in Civil and Marine Composite Structures" The book comprises content from top researchers from India and the USA and covers various aspects of the topic, including modeling and simulation, design aspects, experimentation and various challenges. These failure modes significantly reduce the structural integrity of the marine structures unless they are designed to resist such harsh loadings. Understanding the mechanics of these structures under harsh loadings is still an open area of research, and the behavior of these structures is not fully understood. The book highlights efforts to reduce the effects of blast loadings on marine composite structures. Intended for researchers/scientists and practicing engineers, the book focuses not only the design and analysis challenges of marine composite structures under such harsh loading conditions, but also provides new design guidelines.

Metal Matrix Composites (Hardcover, 2nd ed. 2013): Nikhilesh Chawla, Krishan K. Chawla Metal Matrix Composites (Hardcover, 2nd ed. 2013)
Nikhilesh Chawla, Krishan K. Chawla
R4,602 Discovery Miles 46 020 Ships in 12 - 19 working days

This work focuses on the fundamentals of MMCs for engineers and designers. The new edition addresses new issues and developments in the areas of automotive, aerospace, electronics and consumer applications. These include continuous fiber reinforced MMCs for cables in power transmission, high temperature superconducting wires, particulate MMCs in civilian aircraft and automotive applications, and high volume fraction, high thermal conductivity substrates for electronic packaging. The coverage is thorough and cohesive, and emphasizes the synergistic relationships among processing, structure and properties of metal matrix composites.

Proceedings of China SAE Congress 2019: Selected Papers (Hardcover, 1st ed. 2021): China Society of Automotive Engineers Proceedings of China SAE Congress 2019: Selected Papers (Hardcover, 1st ed. 2021)
China Society of Automotive Engineers
R9,780 Discovery Miles 97 800 Ships in 10 - 15 working days

These proceedings gather outstanding papers presented at the China SAE Congress 2019. Featuring contributions mainly from China, the biggest carmaker as well as most dynamic car market in the world, the book covers a wide range of automotive topics and the latest technical advances in the industry. Many of the approaches included can help technicians to solve practical problems that affect their daily work. In addition, the book offers valuable technical support to engineers, researchers and postgraduate students in the field of automotive engineering.

Stability and Control of Conventional and Unconventional Aerospace Vehicle Configurations - A Generic Approach from Subsonic to... Stability and Control of Conventional and Unconventional Aerospace Vehicle Configurations - A Generic Approach from Subsonic to Hypersonic Speeds (Hardcover, 1st ed. 2019)
Bernd Chudoba
R4,260 Discovery Miles 42 600 Ships in 12 - 19 working days

This book introduces a stability and control methodology named AeroMech, capable of sizing the primary control effectors of fixed wing subsonic to hypersonic designs of conventional and unconventional configuration layout. Control power demands are harmonized with static-, dynamic-, and maneuver stability requirements, while taking the six-degree-of-freedom trim state into account. The stability and control analysis solves the static- and dynamic equations of motion combined with non-linear vortex lattice aerodynamics for analysis. The true complexity of addressing subsonic to hypersonic vehicle stability and control during the conceptual design phase is hidden in the objective to develop a generic (vehicle configuration independent) methodology concept. The inclusion of geometrically asymmetric aircraft layouts, in addition to the reasonably well-known symmetric aircraft types, contributes significantly to the overall technical complexity and level of abstraction. The first three chapters describe the preparatory work invested along with the research strategy devised, thereby placing strong emphasis on systematic and thorough knowledge utilization. The engineering-scientific method itself is derived throughout the second half of the book. This book offers a unique aerospace vehicle configuration independent (generic) methodology and mathematical algorithm. The approach satisfies the initial technical quest: How to develop a 'configuration stability & control' methodology module for an advanced multi-disciplinary aerospace vehicle design synthesis environment that permits consistent aerospace vehicle design evaluations?

Advances in Robot Kinematics (Hardcover, 2014 ed.): Jadran Lenarcic, Oussama Khatib Advances in Robot Kinematics (Hardcover, 2014 ed.)
Jadran Lenarcic, Oussama Khatib
R5,937 R5,302 Discovery Miles 53 020 Save R635 (11%) Ships in 12 - 19 working days

The topics addressed in this book cover the whole range of kinematic analysis, synthesis and design and consider robotic systems possessing serial, parallel and cable driven mechanisms. The robotic systems range from being less than fully mobile to kinematically redundant to over constrained.

The fifty-six contributions report the latest results in robot kinematics with emphasis on emerging areas such as design and control of humanoids or humanoid subsystems. The book is of interest to researchers wanting to bring their knowledge up to date regarding modern topics in one of the basic disciplines in robotics, which relates to the essential property of robots, the motion of mechanisms.

Asymptotic Analysis of Spatial Problems in Elasticity (Hardcover, 1st ed. 2019): Magomed F. Mekhtiev Asymptotic Analysis of Spatial Problems in Elasticity (Hardcover, 1st ed. 2019)
Magomed F. Mekhtiev
R2,890 Discovery Miles 28 900 Ships in 10 - 15 working days

The book presents homogeneous solutions in static and dynamical problems of anisotropic theory of elasticity, which are constructed for a hollow cylinder. It also offers an asymptotic process for finding frequencies of natural vibrations of a hollow cylinder, and establishes a qualitative study of several applied theories of the boundaries of applicability. Further the authors develop a general theory for a transversally isotropic spherical shell, which includes methods for constructing inhomogeneous and homogeneous solutions that allow the characteristic features of the stress-strain state of an anisotropic spherical shell to be revealed. Lastly, the book introduces an asymptotic method for integrating the equations of anisotropic theory of elasticity in variable thickness plates and shells. Based on the results of the author and researchers at Baku State University and the Institute of Mathematics and Mechanics, ANAS, the book is intended for specialists in the field of theory of elasticity, theory of plates and shells, and applied mathematics.

Design & Optimization of Laminated Composite Materials (Hardcover, New): Z Gurdal Design & Optimization of Laminated Composite Materials (Hardcover, New)
Z Gurdal
R3,857 Discovery Miles 38 570 Ships in 10 - 15 working days

Expand your design horizons with a thorough, integrated knowledge of laminate mechanics and design optimization techniques
Offering a thorough treatment of both contemporary design optimization techniques and the mechanics of composite laminates, Design and Optimization of Laminated Composite Materials broadens engineers' design horizons by providing them with the information they need to take full advantage of this important class of composite materials. Intended to serve as an undergraduate- to graduate-level course text or a professional reference for practicing engineers, it features a rational, integrated presentation, supplemented with case examples, practice exercises, and valuable programming tips. Important features include:
* An integrated approach to the analysis and design of laminated composites
* Selected optimization methods that are suited to the design of laminates with discrete thickness and orientation angles
* Guidelines on getting the most out of numerical and graphical software applications for laminate optimization problems
* A companion Web site containing valuable Mathematica(TM)-based programs and helpful tutorials: www.composite-design.vt.edu

Explorations in the History of Machines and Mechanisms - Proceedings of the Fifth IFToMM Symposium on the History of Machines... Explorations in the History of Machines and Mechanisms - Proceedings of the Fifth IFToMM Symposium on the History of Machines and Mechanisms (Hardcover, 1st ed. 2016)
Carlos Lopez-Cajun, Marco Ceccarelli
R5,783 R3,577 Discovery Miles 35 770 Save R2,206 (38%) Ships in 12 - 19 working days

This volume includes contributions presented at the Fifth IFToMM Symposium on the History of Machines and Mechanisms, held at Universidad Autonoma de Queretaro, Santiago de Queretaro, QRO, Mexico, in June 2016. It contains work on theories and facts concerning mechanisms and machines from antiquity to current times as viewed in the present day. Topics include modern reviews of past works; people, history, and their works; direct memories of the recent past; historic development theories; the history of the design of machines and mechanisms; developments of mechanical design and automation; the historic development of teaching; the history of schools of engineering and the education of engineers.

Thermodynamics of Materials with Memory - Theory and Applications (Hardcover, 2nd ed. 2021): Giovambattista Amendola, Mauro... Thermodynamics of Materials with Memory - Theory and Applications (Hardcover, 2nd ed. 2021)
Giovambattista Amendola, Mauro Fabrizio, John Murrough Golden
R4,301 Discovery Miles 43 010 Ships in 12 - 19 working days

This monograph deals with the mechanics and thermodynamics of materials with memory, including properties of the dynamical equations that describe their evolution in time under varying loads. A work in four parts, the first is an introduction to continuum mechanics, including classical fluid mechanics, linear and non-linear elasticity. The second part considers continuum thermodynamics and its use to derive constitutive equations of materials with memory, including viscoelastic solids, fluids, heat conductors and some examples of non-simple materials. In the third part, free energies for materials with linear memory constitutive relations are discussed. The concept of a minimal state is introduced. Explicit formulae are presented for the minimum and related free energies. The final part deals with existence, uniqueness, and stability results for the integrodifferential equations describing the dynamical evolution of viscoelastic materials, including a new approach based on minimal states rather than histories. There are also chapters on the controllability of thermoelastic systems with memory, the Saint-Venant problem for viscoelastic materials and on the theory of inverse problems. The second edition includes a new chapter on thermoelectromagnetism as well as recent findings on minimal states and free energies. It considers the case of minimum free energies for non-simple materials and dielectrics, together with an introduction to fractional derivative models.

Enhancing Performance and Reducing Stress in Sports: Technological Advances (Hardcover, 2015 ed.): Tijana Ivancevic, Helen... Enhancing Performance and Reducing Stress in Sports: Technological Advances (Hardcover, 2015 ed.)
Tijana Ivancevic, Helen Greenberg, Ronald Greenberg
R3,818 R3,536 Discovery Miles 35 360 Save R282 (7%) Ships in 12 - 19 working days

This book is designed to help athletes and individuals interested in high sports performance in their journey towards the perfection of human sports abilities and achievements. It has two main goals: accelerating the acquisition of motor skills and preparing and vigilantly reducing the recovery time after training and competition. The Diamond Sports Protocol (DSP) presents state-of-the-art techniques for current sport and health technologies, particularly neuromuscular electrical stimulation (Sports Wave), oxygen infusion (Oxy Sports), infrared (Sports Infrared Dome) and lactic acid cleaning (Turbo Sports). The book suggest DSP as an essential part of every future athlete's training, competition and health maintenance. The book is for everyone interested in superior sports performance, fast and effective rehabilitation from training and competition and sports injury prevention.

Dynamic Systems with Time Delays: Stability and Control (Hardcover, 1st ed. 2019): Ju H. Park, Tae H. Lee, Yajuan Liu, Junchen Dynamic Systems with Time Delays: Stability and Control (Hardcover, 1st ed. 2019)
Ju H. Park, Tae H. Lee, Yajuan Liu, Junchen
R3,417 Discovery Miles 34 170 Ships in 10 - 15 working days

This book presents up-to-date research developments and novel methodologies to solve various stability and control problems of dynamic systems with time delays. First, it provides the new introduction of integral and summation inequalities for stability analysis of nominal time-delay systems in continuous and discrete time domain, and presents corresponding stability conditions for the nominal system and an applicable nonlinear system. Next, it investigates several control problems for dynamic systems with delays including H(infinity) control problem Event-triggered control problems; Dynamic output feedback control problems; Reliable sampled-data control problems. Finally, some application topics covering filtering, state estimation, and synchronization are considered. The book will be a valuable resource and guide for graduate students, scientists, and engineers in the system sciences and control communities.

IUTAM Symposium on Nonlinear Analysis of Fracture - Proceedings of the IUTAM Symposium Held in Cambridge, UK, 3-7 September... IUTAM Symposium on Nonlinear Analysis of Fracture - Proceedings of the IUTAM Symposium Held in Cambridge, UK, 3-7 September 1995 (Hardcover)
J.R. Willis
R2,616 Discovery Miles 26 160 Ships in 12 - 19 working days

This text records the Proceedings of the IUTAM Symposium held in Cambridge in 1995. It contains 35 articles by leading authorities and addresses the modelling of fracture from a variety of perspectives, ranging over mechanics, material science, physics, geophysics, and nonlinear dynamics. The most important single practical question addressed is that of scale. This is considered in relation to nonlinear material behaviour, micromechanics and statistical variations, and the interaction of these aspects. Certain aspects of the subject have experienced significant advance, from one or other of the standpoints of physics, materials science or mechanics. This book is intended to contribute towards the wider dissemination of these advances and the development of a unified perspective. It will be useful to those active in research in fracture who wish to gain an overview of the subject, taking advantage of insights gained from the whole range of this expertise.

Molecular Symmetry, Super-Rotation, and Semiclassical Motion - New Ideas for Solving Old Problems (Hardcover, 1st ed. 2017):... Molecular Symmetry, Super-Rotation, and Semiclassical Motion - New Ideas for Solving Old Problems (Hardcover, 1st ed. 2017)
Hanno Schmiedt
R2,900 R1,937 Discovery Miles 19 370 Save R963 (33%) Ships in 12 - 19 working days

This book presents a range of fundamentally new approaches to solving problems involving traditional molecular models. Fundamental molecular symmetry is shown to open new avenues for describing molecular dynamics beyond standard perturbation techniques. Traditional concepts used to describe molecular dynamics are based on a few fundamental assumptions, the ball-and-stick picture of molecular structure and the respective perturbative treatment of different kinds of couplings between otherwise separate motions. The book points out the conceptual limits of these models and, by focusing on the most essential idea of theoretical physics, namely symmetry, shows how to overcome those limits by introducing fundamentally new concepts. The book begins with an introduction to molecular symmetry in general, followed by a discussion of nuclear spin symmetry. Here, a new correlation between identical particle exchange and spin angular momentum symmetry of nuclei is exhibited. The central part of the book is the discussion of extremely floppy molecules, which are not describable in the framework of traditional theories. The book introduces a fundamentally new approach to describing the molecular dynamics of these molecules - the super-rotor model, which is based on a five-dimensional symmetry that has never been observed in molecules before. By applying the super-rotor theory to the prototype of floppy molecules, protonated methane, this model can consistently predict the symmetry and energy of low-energy states, which were characterized experimentally only a few years ago. The theoretical predictions agree with the experimental results, which makes the prospect of further developing the super-rotor theory and applying it to other molecules a promising one. In the final section, the book also covers the topic of ultrafast rotations, where usual quantum calculations reach their natural limits. A semi-classical method for determining rotational energies, developed in the early 1990s, is shown to be attachable to quantum calculations of the vibrational states. This new combined method is suitable for efficiently calculating ro-vibrational energies, even for molecular states with large angular momentum.

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