Mathematical Structure of the Theories of Viscoelasticity PDF Download

Author: Bernhard Gross
Publisher:
ISBN:
Category : Mathematical physics
Languages : en
Pages : 88

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Author: William N. Sharpe, Jr.
Publisher: Springer Science & Business Media
ISBN: 0387268839
Category : Mathematics
Languages : en
Pages : 1100

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Book Description
The Springer Handbook of Experimental Solid Mechanics documents both the traditional techniques as well as the new methods for experimental studies of materials, components, and structures. The emergence of new materials and new disciplines, together with the escalating use of on- and off-line computers for rapid data processing and the combined use of experimental and numerical techniques have greatly expanded the capabilities of experimental mechanics. New exciting topics are included on biological materials, MEMS and NEMS, nanoindentation, digital photomechanics, photoacoustic characterization, and atomic force microscopy in experimental solid mechanics. Presenting complete instructions to various areas of experimental solid mechanics, guidance to detailed expositions in important references, and a description of state-of-the-art applications in important technical areas, this thoroughly revised and updated edition is an excellent reference to a widespread academic, industrial, and professional engineering audience.

Author: R. M. Christensen
Publisher: Courier Corporation
ISBN: 0486318966
Category : Technology & Engineering
Languages : en
Pages : 386

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Book Description
Integration of theoretical developments offers complete description of linear theory of viscoelastic behavior of materials, with theoretical formulations derived from continuum mechanics viewpoint and discussions of problem solving. 1982 edition.

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: Alexander Y. Malkin
Publisher: Elsevier
ISBN: 1927885949
Category : Technology & Engineering
Languages : en
Pages : 537

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Book Description
Rheology: Concepts, Methods, and Applications, Fourth Edition provides a thorough historical and theoretical grounding in the field and introduces rheology as the method for solving many practical problems in materials science and engineering. This new edition has been updated to include new evidence-based methods and applications, coverage of non-Newtonian properties and their effect on material processing, heterogeneity in flow, rheology of highly concentrated emulsions and suspensions, viscosity and viscoelastic behavior of nanocomposites, the behavior of supramolecular solutions, rheology of gels, deformation-induced anisotropy, conformation changes during flow and molecular orientation. The book is practical and relevant for industry, but also consistent with rheology courses in academia, making it relevant to both academics and accomplished rheologists in industry. - Includes updates on non-Newtonian properties and their effect on material processing, heterogeneity in flow, rheology of concentrated emulsions, suspensions, and more - Discusses viscosity and viscoelastic behavior of nanocomposites, the behavior of supramolecular solutions, rheology of gels, deformation-induced anisotropy, conformation changes during flow, and molecular orientation - Covers theory backed by practical examples, methods of measurement and raw data treatment, and various applications

Author: Howard A. Barnes
Publisher: Elsevier
ISBN: 9780444871404
Category : Science
Languages : en
Pages : 214

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Book Description
This text introduces the subject of rheology in terms understandable to non-experts and describes the application of rheological principles to many industrial products and processes.

Author: Nicholas W. Tschoegl
Publisher: Springer Science & Business Media
ISBN: 3642736025
Category : Science
Languages : en
Pages : 791

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Book Description
One of the principal objects of theoretical research in any department of knowledge is to find the point of view from which the subject appears in its greatest simplicity. J. Willard Gibbs This book is an outgrowth of lectures I have given, on and off over some sixteen years, in graduate courses at the California Institute of Technology, and, in abbreviated form, elsewhere. It is, nevertheless, not meant to be a textbook. I have aimed at a full exposition of the phenomenological theory of linear viscoelastic behavior for the use of the practicing scientist or engineer as well as the academic teacher or student. The book is thus primarily a reference work. In accord with the motto above, I have chosen to describe the theory of linear viscoelastic behavior through the use of the Laplace transformation. The treatment oflinear time-dependent systems in terms of the Laplace transforms of the relations between the excitation add response variables has by now become commonplace in other fields. With some notable exceptions, it has not been widely used in viscoelasticity. I hope that the reader will find this approach useful.

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: Ard‚shir Guran
Publisher: World Scientific
ISBN: 9789812778536
Category : Mathematics
Languages : en
Pages : 522

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Book Description
This series of volumes constitutes an outstanding collection of contributions by the most active research workers in the area of acoustics and mechanics. It brings the reader up to date on the status of the various aspects of research in this field. The volumes should preserve their value for a long time, as they represent a monument to the achievements of human research capabilities in the underwater-acoustics aspects of the environment.

Author: Francesco Mainardi
Publisher: World Scientific
ISBN: 1783264004
Category : Mathematics
Languages : en
Pages : 626

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Book Description
Fractional Calculus and Waves in Linear Viscoelasticity (Second Edition) is a self-contained treatment of the mathematical theory of linear (uni-axial) viscoelasticity (constitutive equation and waves) with particular regard to models based on fractional calculus. It serves 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. In particular the relevant role played by some special functions is pointed out along with their visualization through plots. Graphics are extensively used in the book and a large general bibliography is included at the end.This new edition keeps the structure of the first edition but each chapter has been revised and expanded, and new additions include a novel appendix on complete monotonic and Bernstein functions that are known to play a fundamental role in linear viscoelasticity.This book is suitable for engineers, graduate students and researchers interested in fractional calculus and continuum mechanics.