Download or read book The Mechanics and Thermodynamics of Continuous Media written by Miroslav Silhavy and published by Springer Science & Business Media. This book was released on 2013-11-27 with total page 511 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "The book is excellent, and covers a very broad area (usually treated as separate topics) from a unified perspective. [...] It will be very useful for both mathematicians and physicists." EMS Newsletter
Download or read book Mechanics of Continuous Media and Analysis of Structures written by R. Valid and published by Elsevier. This book was released on 2012-12-02 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mechanics of Continuous Media and Analysis of Structures is a six-chapter book that begins by elucidating the mechanics of solid continuous media. The text then describes the finite elements method, which undoubtedly dominates the methods used for structural analysis. Subsequent chapters explain the variational principles in linear elasticity, vibration of linear structure, non-linear deformations, and the shell theory. This book will be valuable to all those who need certain theoretical developments in mechanics, including mechanical engineers, economists, and mathematicians.
Download or read book Mechanics of Continuous Media written by L. I. Sedov and published by World Scientific Publishing Company Incorporated. This book was released on 1996-06 with total page 1368 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is written by Academician Sedov who is considered by many as the leading scientist in mechanics in the USSR. This latest fourth edition helps the reader in a relatively short time to master and acquire fully the essence of many geometrical and mechanical theories.
Download or read book Hamilton s Principle in Continuum Mechanics written by Anthony Bedford and published by Springer Nature. This book was released on 2021-12-14 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt: This revised, updated edition provides a comprehensive and rigorous description of the application of Hamilton’s principle to continuous media. To introduce terminology and initial concepts, it begins with what is called the first problem of the calculus of variations. For both historical and pedagogical reasons, it first discusses the application of the principle to systems of particles, including conservative and non-conservative systems and systems with constraints. The foundations of mechanics of continua are introduced in the context of inner product spaces. With this basis, the application of Hamilton’s principle to the classical theories of fluid and solid mechanics are covered. Then recent developments are described, including materials with microstructure, mixtures, and continua with singular surfaces.
Download or read book Continuum Mechanics and Theory of Materials written by Peter Haupt and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 666 pages. Available in PDF, EPUB and Kindle. Book excerpt: The new edition includes additional analytical methods in the classical theory of viscoelasticity. This leads to a new theory of finite linear viscoelasticity of incompressible isotropic materials. Anisotropic viscoplasticity is completely reformulated and extended to a general constitutive theory that covers crystal plasticity as a special case.
Download or read book Elements of Continuum Mechanics and Conservation Laws written by S.K. Godunov and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elements of Continuum Mechanics and Conservation Laws presents a systematization of different models in mathematical physics, a study of the structure of conservation laws, thermodynamical identities, and connection with criteria for well-posedness of the corresponding mathematical problems. The theory presented in this book stems from research carried out by the authors concerning the formulations of differential equations describing explosive deformations of metals. In such processes, elasticity equations are used in some zones, whereas hydrodynamics equations are stated in other zones. Plastic deformations appear in transition zones, which leads to residual stresses. The suggested model contains some relaxation terms which simulate these plastic deformations. Certain laws of thermodynamics are used in order to describe and study differential equations simulating the physical processes. This leads to the special formulation of differential equations using generalized thermodynamical potentials.
Download or read book Mechanics Of Continuous Media In 2 Vols written by L I Sedov and published by World Scientific. This book was released on 1997-06-01 with total page 1365 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is written by Academician Sedov who is considered by many as the leading scientist in mechanics in the USSR. This latest fourth edition helps the reader in a relatively short time to master and acquire fully the essence of many geometrical and mechanical theories.
Download or read book Introduction to the Mechanics of a Continuous Medium written by Lawrence E. Malvern and published by . This book was released on 1969 with total page 713 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Nonlinear Theory of Continuous Media written by A. Cemal Eringen and published by . This book was released on 1962 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Continuum Mechanics Modeling of Material Behavior written by Martin H. Sadd and published by Academic Press. This book was released on 2018-03-31 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: Continuum Mechanics Modeling of Material Behavior offers a uniquely comprehensive introduction to topics like RVE theory, fabric tensor models, micropolar elasticity, elasticity with voids, nonlocal higher gradient elasticity and damage mechanics. Contemporary continuum mechanics research has been moving into areas of complex material microstructural behavior. Graduate students who are expected to do this type of research need a fundamental background beyond classical continuum theories. The book begins with several chapters that carefully and rigorously present mathematical preliminaries: kinematics of motion and deformation; force and stress measures; and general principles of mass, momentum and energy balance. The book then moves beyond other books by dedicating several chapters to constitutive equation development, exploring a wide collection of constitutive relations and developing the corresponding material model formulations. Such material behavior models include classical linear theories of elasticity, fluid mechanics, viscoelasticity and plasticity. Linear multiple field problems of thermoelasticity, poroelasticity and electoelasticity are also presented. Discussion of nonlinear theories of solids and fluids, including finite elasticity, nonlinear/non-Newtonian viscous fluids, and nonlinear viscoelastic materials are also given. Finally, several relatively new continuum theories based on incorporation of material microstructure are presented including: fabric tensor theories, micropolar elasticity, elasticity with voids, nonlocal higher gradient elasticity and damage mechanics. Offers a thorough, concise and organized presentation of continuum mechanics formulation Covers numerous applications in areas of contemporary continuum mechanics modeling, including micromechanical and multi-scale problems Integration and use of MATLAB software gives students more tools to solve, evaluate and plot problems under study Features extensive use of exercises, providing more material for student engagement and instructor presentation
Download or read book Continuum Methods of Physical Modeling written by Kolumban Hutter and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 645 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book unifies classical continuum mechanics and turbulence modeling, i.e. the same fundamental concepts are used to derive model equations for material behaviour and turbulence closure and complements these with methods of dimensional analysis. The intention is to equip the reader with the ability to understand the complex nonlinear modeling in material behaviour and turbulence closure as well as to derive or invent his own models. Examples are mostly taken from environmental physics and geophysics.
Download or read book Continuum Mechanics written by I-Shih Liu and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: This concise textbook develops step by step the fundamental principles of continuum mechanics. Emphasis is on mathematical clarity, and an extended appendix provides the required background knowledge in linear algebra and tensor calculus. After introducing the basic notions about general kinematics, balance equations, material objectivity and constitutive functions, the book turns to the presentation of rational thermodynamics by stressing the role of Lagrange multipliers in deriving constitutive funcitions from the underlying entropy principle. A brief lecture on extended thermodynamics closes the book. Many examples and exercises round off the material presendted in the chapters. The book addresses primarily advanced undergraduate students in theoretical physics, applied mathematics and materials sciences.
Download or read book Mathematical Methods in Continuum Mechanics of Solids written by Martin Kružík and published by Springer. This book was released on 2019-03-02 with total page 624 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book primarily focuses on rigorous mathematical formulation and treatment of static problems arising in continuum mechanics of solids at large or small strains, as well as their various evolutionary variants, including thermodynamics. As such, the theory of boundary- or initial-boundary-value problems for linear or quasilinear elliptic, parabolic or hyperbolic partial differential equations is the main underlying mathematical tool, along with the calculus of variations. Modern concepts of these disciplines as weak solutions, polyconvexity, quasiconvexity, nonsimple materials, materials with various rheologies or with internal variables are exploited. This book is accompanied by exercises with solutions, and appendices briefly presenting the basic mathematical concepts and results needed. It serves as an advanced resource and introductory scientific monograph for undergraduate or PhD students in programs such as mathematical modeling, applied mathematics, computational continuum physics and engineering, as well as for professionals working in these fields.
Download or read book Scalable Continuous Media Streaming Systems written by Jack Lee and published by John Wiley & Sons. This book was released on 2005-06-17 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: Continuous media streaming systems will shape the future of information infrastructure. The challenge is to design systems and networks capable of supporting millions of concurrent users. Key to this is the integration of fault-tolerant mechanisms to prevent individual component failures from disrupting systems operations. These are just some of the hurdles that need to be overcome before large-scale continuous media services such as video-on-demand can be deployed with maximum efficiency. The author places the subject in context, drawing together findings from the past decade of research whilst examining the technology’s present status and its future potential. The approach adopted is comprehensive, covering topics – notably the scalability and fault-tolerance issues - that previously have not been treated in depth. Provides an accessible introduction to the technology, presenting the basic principles for media streaming system design, focusing on the need for the correct and timely delivery of data. Explores the use of parallel server architectures to tackle the two key challenges of scalability and fault-tolerance. Investigates the use of network multicast streaming algorithms to further increase the scalability of very-large-scale media streaming systems. Illustrates all findings using real-world examples and case studies gleaned from cutting-edge worldwide research. Combining theory and practice, this book will appeal to industry specialists working in content distribution in general and continuous media streaming in particular. The introductory materials and basic building blocks complemented by amply illustrated, more advanced coverage provide essential reading for senior undergraduates, postgraduates and researchers in these fields.
Download or read book Vibrations and Waves in Continuous Mechanical Systems written by Peter Hagedorn and published by John Wiley & Sons. This book was released on 2007-10-22 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of vibrations is of fundamental importance in engineering and technology. Discrete modelling is sufficient to understand the dynamics of many vibrating systems; however a large number of vibration phenomena are far more easily understood when modelled as continuous systems. The theory of vibrations in continuous systems is crucial to the understanding of engineering problems in areas as diverse as automotive brakes, overhead transmission lines, liquid filled tanks, ultrasonic testing or room acoustics. Starting from an elementary level, Vibrations and Waves in Continuous Mechanical Systems helps develop a comprehensive understanding of the theory of these systems and the tools with which to analyse them, before progressing to more advanced topics. Presents dynamics and analysis techniques for a wide range of continuous systems including strings, bars, beams, membranes, plates, fluids and elastic bodies in one, two and three dimensions. Covers special topics such as the interaction of discrete and continuous systems, vibrations in translating media, and sound emission from vibrating surfaces, among others. Develops the reader’s understanding by progressing from very simple results to more complex analysis without skipping the key steps in the derivations. Offers a number of new topics and exercises that form essential steppingstones to the present level of research in the field. Includes exercises at the end of the chapters based on both the academic and practical experience of the authors. Vibrations and Waves in Continuous Mechanical Systems provides a first course on the vibrations of continuous systems that will be suitable for students of continuous system dynamics, at senior undergraduate and graduate levels, in mechanical, civil and aerospace engineering. It will also appeal to researchers developing theory and analysis within the field.
Download or read book Physics of Continuous Matter Second Edition written by B. Lautrup and published by CRC Press. This book was released on 2011-03-22 with total page 698 pages. Available in PDF, EPUB and Kindle. Book excerpt: Physics of Continuous Matter: Exotic and Everyday Phenomena in the Macroscopic World, Second Edition provides an introduction to the basic ideas of continuum physics and their application to a wealth of macroscopic phenomena. The text focuses on the many approximate methods that offer insight into the rich physics hidden in fundamental continuum mechanics equations. Like its acclaimed predecessor, this second edition introduces mathematical tools on a "need-to-know" basis. New to the Second Edition This edition includes three new chapters on elasticity of slender rods, energy, and entropy. It also offers more margin drawings and photographs and improved images of simulations. Along with reorganizing much of the material, the author has revised many of the physics arguments and mathematical presentations to improve clarity and consistency. The collection of problems at the end of each chapter has been expanded as well. These problems further develop the physical and mathematical concepts presented. With worked examples throughout, this book clearly illustrates both qualitative and quantitative physics reasoning. It emphasizes the importance in understanding the physical principles behind equations and the conditions underlying approximations. A companion website provides a host of ancillary materials, including software programs, color figures, and additional problems.
Download or read book Encyclopedia of Continuum Mechanics written by Holm Altenbach and published by Springer. This book was released on 2020-01-04 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Encyclopedia covers the entire science of continuum mechanics including the mechanics of materials and fluids. The encyclopedia comprises mathematical definitions for continuum mechanical modeling, fundamental physical concepts, mechanical modeling methodology, numerical approaches and many fundamental applications. The modelling and analytical techniques are powerful tools in mechanical civil and areospsace engineering, plus in related fields of plasticity, viscoelasticity and rheology. Tensor-based and reference-frame-independent, continuum mechanics has recently found applications in geophysics and materials.
