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Author: A.D. Drozdov
Publisher: Elsevier
ISBN: 1483290522
Category : Mathematics
Languages : en
Pages : 623
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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
Get Book Here
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
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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
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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
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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
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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: Francesco Mainardi
Publisher: World Scientific
ISBN: 1848163304
Category : Mathematics
Languages : en
Pages : 368
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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: Z. T. Bieniawski
Publisher:
ISBN:
Category : Brittleness
Languages : en
Pages : 486
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Book Description
Author: Aleksey D. Drozdov
Publisher: Academic Press
ISBN: 008054360X
Category : Science
Languages : en
Pages : 615
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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: William N. Findley
Publisher: Courier Corporation
ISBN: 0486145174
Category : Technology & Engineering
Languages : en
Pages : 402
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Book Description
This pioneering book presents the basic theory, experimental methods, experimental results and solution of boundary value problems in a readable, useful way to designers as well as research workers and students. The mathematical background required has been kept to a minimum and supplemented by explanations where it has been necessary to introduce specialized mathematics. Also, appendices have been included to provide sufficient background in Laplace transforms and in step functions. Chapters 1 and 2 contain an introduction and historic review of creep. As an aid to the reader a background on stress, strain, and stress analysis is provided in Chapters 3 and 4, an introduction to linear viscoelasticity is found in Chapter 5 and linear viscoelastic stress analysis in Chapter 6. In the next six chapters the multiple integral representation of nonlinear creep and relaxation, and simplifications to single integral forms and incompressibility, are examined at length. After a consideration of other representations, general relations are derived, then expanded to components of stress or strain for special cases. Both constant stress (or strain) and variable states are described, together with methods of determining material constants. Conversion from creep to relaxation, effects of temperature and stress analysis problems in nonlinear materials are also treated here. Finally, Chapter 13 discusses experimental methods for creep and stress relaxation under combined stress. This chapter considers especially those experimental problems which must be solved properly when reliable experimental results of high precision are required. Six appendices present the necessary mathematical background, conversion tables, and more rigorous derivations than employed in the text. An extensive updated bibliography completes the book.
Author: P.M. Schweizer
Publisher: Springer Science & Business Media
ISBN: 9401153426
Category : Science
Languages : en
Pages : 794
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Book Description
This multi-authored volume provides a comprehensive and in-depth account of the highly interdisciplinary science and technology of liquid film coating. The book covers fundamental principles from a wide range of scientific disciplines, including fluid mechanics aand transport phenomena, capillary hydrodynamics, surface and colloid science. The authors, all acknowledged eperts in their fields, represent a balance between industrial and academic points of view. Throughout the text, many case studies illustrate how scientific principles together with advanced experimental and theoretical methods are applied to develop and optimize manufacturing processes of eve increasing sophiatication and efficiency. In the first part of the book, the authors systematically recount the underlying physical principles and important material properties. The second part of the book gives a comprehensive overview of the most advanced experimental, mathematical and computational methods available today to investigate coating processes. The third part provides an overview and critical literature review for all major classes of liquid film coating processes of industrial importance.
