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Author: A.D. Drozdov Publisher: Elsevier ISBN: 1483290522 Category : Mathematics Languages : en Pages : 623
Book Description
The subject of stability problems for viscoelastic solids and elements of structures, with which this book is concerned, has been the focus of attention in the past three decades. This has been due to the wide inculcation of viscoelastic materials, especially polymers and plastics, in industry. Up-to-date studies in viscoelasticity are published partially in purely mathematical journals, partially in merely applied ones, and as a consequence, they remain unknown to many interested specialists. Stability in Viscoelasticity fills the gap between engineers and mathematicians and converges theoretical and applied directions of investigations.All chapters contain extensive bibliographies of both purely mathematical and engineering works on stability problems. The bibliography includes a number of works in Russian which are practically inaccessible to the Western reader.
Author: A.D. Drozdov Publisher: Elsevier ISBN: 1483290522 Category : Mathematics Languages : en Pages : 623
Book Description
The subject of stability problems for viscoelastic solids and elements of structures, with which this book is concerned, has been the focus of attention in the past three decades. This has been due to the wide inculcation of viscoelastic materials, especially polymers and plastics, in industry. Up-to-date studies in viscoelasticity are published partially in purely mathematical journals, partially in merely applied ones, and as a consequence, they remain unknown to many interested specialists. Stability in Viscoelasticity fills the gap between engineers and mathematicians and converges theoretical and applied directions of investigations.All chapters contain extensive bibliographies of both purely mathematical and engineering works on stability problems. The bibliography includes a number of works in Russian which are practically inaccessible to the Western reader.
Author: Mauro Fabrizio Publisher: SIAM ISBN: 0898712661 Category : Science Languages : en Pages : 210
Book Description
Describes general mathematical modeling of viscoelastic materials as systems with fading memory. Discusses the interrelation between topics such as existence, uniqueness, and stability of initial boundary value problems, variational and extremum principles, and wave propagation. Demonstrates the deep connection between the properties of the solution to initial boundary value problems and the requirements of the general physical principles. Discusses special techniques and new methods, including Fourier and Laplace transforms, extremum principles via weight functions, and singular surfaces and discontinuity waves.
Author: Arthur S. Lodge Publisher: Academic Press ISBN: 1483263355 Category : Technology & Engineering Languages : en Pages : 456
Book Description
Viscoelasticity and Rheology covers the proceedings of a symposium by the same title, conducted by the Mathematics Research Center held at the University of Wisconsin-Madison on October 16-18, 1984. The contributions to the symposium are divided into four broad categories, namely, experimental results, constitutive theories, mathematical analysis, and computation. This 16-chapter work begins with experimental topics, including the motion of bubbles in viscoelastic fluids, wave propagation in viscoelastic solids, flows through contractions, and cold-drawing of polymers. The next chapters covering constitutive theories explore the molecular theories for polymer solutions and melts based on statistical mechanics, the use and limitations of approximate constitutive theories, a comparison of constitutive laws based on various molecular theories, network theories and some of their advantages in relation to experiments, and models for viscoplasticity. These topics are followed by discussions of the existence, regularity, and development of singularities, change of type, interface problems in viscoelasticity, existence for initial value problems and steady flows, and propagation and development of singularities. The remaining chapters deal with the numerical simulation of flow between eccentric cylinders, flow around spheres and bubbles, the hole pressure problem, and a review of computational problems related to various constitutive laws. This book will prove useful to chemical engineers, researchers, and students.
Author: Roderic S. Lakes Publisher: Cambridge University Press ISBN: 052188568X Category : Science Languages : en Pages : 481
Book Description
This graduate text on viscoelastic materials addresses design applications as diverse as earplugs, computer disks and medical diagnostics.
Author: Dennis A. Siginer Publisher: Springer Science & Business Media ISBN: 3319024175 Category : Technology & Engineering Languages : en Pages : 103
Book Description
Stability of Non-linear Constitutive Formulations for Viscoelastic Fluids provides a complete and up-to-date view of the field of constitutive equations for flowing viscoelastic fluids, in particular on their non-linear behavior, the stability of these constitutive equations that is their predictive power, and the impact of these constitutive equations on the dynamics of viscoelastic fluid flow in tubes. This book gives an overall view of the theories and attendant methodologies developed independently of thermodynamic considerations as well as those set within a thermodynamic framework to derive non-linear rheological constitutive equations for viscoelastic fluids. Developments in formulating Maxwell-like constitutive differential equations as well as single integral constitutive formulations are discussed in the light of Hadamard and dissipative type of instabilities.
Author: Roderic S. Lakes Publisher: CRC Press ISBN: 1351355643 Category : Technology & Engineering Languages : en Pages : 476
Book Description
Viscoelastic Solids covers the mathematical theory of viscoelasticity and physical insights, causal mechanisms, and practical applications. The book: presents a development of the theory, addressing both transient and dynamic aspects as well as emphasizing linear viscoelasticity synthesizes the structure of the theory with the aim of developing physical insight illustrates the methods for the solution of stress analysis problems in viscoelastic objects explores experimental methods for the characterization of viscoelastic materials describes the phenomenology of viscoelasticity in a variety of materials, including polymers, metals, high damping alloys, rock, piezoelectric materials, cellular solids, dense composite materials, and biological materials analyzes high damping and extremely low damping provides the theory of viscoelastic composite materials, including examples of various types of structure and the relationships between structure and mechanical properties contains examples on the use of viscoelastic materials in preventing and alleviating human suffering Viscoelastic Solids also demonstrates the use of viscoelasticity for diverse applications, such as earplugs, gaskets, computer disks, satellite stability, medical diagnosis, injury prevention, vibration abatement, tire performance, sports, spacecraft explosions, and music.
Author: Francesco Mainardi Publisher: World Scientific ISBN: 1848163304 Category : Mathematics Languages : en Pages : 368
Book Description
This monograph provides a comprehensive overview of the author's work on the fields of fractional calculus and waves in linear viscoelastic media, which includes his pioneering contributions on the applications of special functions of the Mittag-Leffler and Wright types. It is intended to serve as a general introduction to the above-mentioned areas of mathematical modeling. The explanations in the book are detailed enough to capture the interest of the curious reader, and complete enough to provide the necessary background material needed to delve further into the subject and explore the research literature given in the huge general bibliography. This book is likely to be of interest to applied scientists and engineers.
Author: Alexander Ya. Malkin Publisher: ChemTec Publishing ISBN: 9781895198492 Category : Science Languages : en Pages : 528
Book Description
The pursuit of the golden balance between oversimplification and overload with theory has always been the primary goal of every author of book on rheology. Rheology: Concepts, Methods, and Applications, Second Edition is a tool for chemists and chemical engineers to solve many practical problems. They have to learn what to measure, how to measure, and what to do with the data. But, the learning process should not take users away from their major goals, such as manufacturing quality products, developing new materials, analysis of material durability. In the book various aspects of theoretical rheology as well as methods of measurement and raw data treatment and how to use rheological methods in different groups of products are discusses. The authors share their experiences of many years of experimental studies and teaching to show use of rheology in studies of materials. They and were very meticulous in giving historical background of contributors to rheology as a science and as the method of solving many practical problems. This book is very useful as a teaching tool in universities and colleges because it is consistent with programs of rheology courses. Practicality of this book will prepare students for typical tasks in industry. Equally it serves the industry and accomplished rheologists because it contains expert advice of two very famous and accomplished scientists and teachers who know discoveries first-hand because they may have taken part in some of them. introductory rheology for students and scientists easy to understand many practical examples
Author: Aleksey D. Drozdov Publisher: Academic Press ISBN: 008054360X Category : Science Languages : en Pages : 615
Book Description
Viscoelastic Structures covers the four basic problems in the mechanics of viscoelastic solids and structural members: construction of constitutive models for the description of thermoviscoelastic behavior of polymers; mathematical modeling of manufacturing advanced composite materials; optimal-design of structural members and technological processes of their fabrication; and stability analysis for thin-walled structural members driven by time-varying loads.This book familiarizes the reader with state-of-the-art mathematical models for advanced materials and processes, and demonstrates their applications in modeling and simulating specific manufacturing processes. Viscoelastic Structures also demonstrates the effects of material, geometrical, and technological parameters on the characteristic features of viscoelastic structures.1Presents state-of-the-art mathematical models and methods which serve for the analysis of advanced technological processes1Includes numerous examples to demonstrate theory which have not been included in previous literature1Employs one consistent, user-friendly method to study a number of technological processes1Features unique approach to aging materials1Appendices cover background material on tensor calculus, kinematics with finite strains, stochastic differential equations, and evolutionary equations with operator coefficients
Author: A.D. Drozdov
Author: A.D. Drozdov
Author: Mauro Fabrizio
Author: Arthur S. Lodge
Author: Roderic S. Lakes
Author: Dennis A. Siginer
Author: Roderic S. Lakes
Author: Francesco Mainardi
Author: Alexander Ya. Malkin
Author: Z. T. Bieniawski
Author: Aleksey D. Drozdov