Boundary Value Problems In Linear Viscoelasticity

Author : John M. Golden
Publisher : Springer Science & Business Media
ISBN 13 : 3662061562
Total Pages : 276 pages
Book Rating : 4.65/5 ( download)

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Download or read book Boundary Value Problems in Linear Viscoelasticity written by John M. Golden and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: The classical theories of Linear Elasticity and Newtonian Fluids, though trium phantly elegant as mathematical structures, do not adequately describe the defor mation and flow of most real materials. Attempts to characterize the behaviour of real materials under the action of external forces gave rise to the science of Rheology. Early rheological studies isolated the phenomena now labelled as viscoelastic. Weber (1835, 1841), researching the behaviour of silk threats under load, noted an instantaneous extension, followed by a further extension over a long period of time. On removal of the load, the original length was eventually recovered. He also deduced that the phenomena of stress relaxation and damping of vibrations should occur. Later investigators showed that similar effects may be observed in other materials. The German school referred to these as "Elastische Nachwirkung" or "the elastic aftereffect" while the British school, including Lord Kelvin, spoke ofthe "viscosityofsolids". The universal adoption of the term "Viscoelasticity", intended to convey behaviour combining proper ties both of a viscous liquid and an elastic solid, is of recent origin, not being used for example by Love (1934), though Alfrey (1948) uses it in the context of polymers. The earliest attempts at mathematically modelling viscoelastic behaviour were those of Maxwell (1867) (actually in the context of his work on gases; he used this model for calculating the viscosity of a gas) and Meyer (1874).

Author : John M. Golden
Publisher : Berlin : Springer-Verlag
ISBN 13 : 9780387186153
Total Pages : 0 pages
Book Rating : 4.58/5 ( download)

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Download or read book Boundary Value Problems in Linear Viscoelasticity written by John M. Golden and published by Berlin : Springer-Verlag. This book was released on 1988 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Mauro Fabrizio
Publisher : SIAM
ISBN 13 : 9781611970807
Total Pages : 212 pages
Book Rating : 4.06/5 ( download)

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Download or read book Mathematical Problems in Linear Viscoelasticity written by Mauro Fabrizio and published by SIAM. This book was released on 1992-01-01 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Michael Renardy
Publisher : Longman Scientific and Technical
ISBN 13 :
Total Pages : 294 pages
Book Rating : 4.42/5 ( download)

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Download or read book Mathematical Problems in Viscoelasticity written by Michael Renardy and published by Longman Scientific and Technical. This book was released on 1987 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : G.A.C. Graham
Publisher : Springer
ISBN 13 : 3709126940
Total Pages : 317 pages
Book Rating : 4.43/5 ( download)

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Download or read book Crack and Contact Problems for Viscoelastic Bodies written by G.A.C. Graham and published by Springer. This book was released on 2014-05-04 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main emphasis of these Lecture Notes is on constructing solutions to specific viscoelastic boundary value problems; however properties of the equations of viscoelasticity that provide the theoretical underpinnings for constructing such solutions are also covered. Particular attention is paid to the solution of crack and contact problems. This work is of interest in the context of polymer fracture, modelling of material behaviour, rebound testing of polymers and the phenomenon of hysteretic friction.

Author : D. R. Bland
Publisher : Courier Dover Publications
ISBN 13 : 0486816389
Total Pages : 144 pages
Book Rating : 4.88/5 ( download)

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Download or read book The Theory of Linear Viscoelasticity written by D. R. Bland and published by Courier Dover Publications. This book was released on 2016-10-05 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: This concise introduction to the concepts of viscoelasticity focuses on stress analysis. Three detailed sections present examples of stress-related problems, including sinusoidal oscillation problems, quasi-static problems, and dynamic problems. 1960 edition.

Author : R. M. Christensen
Publisher : Courier Corporation
ISBN 13 : 0486318966
Total Pages : 384 pages
Book Rating : 4.67/5 ( download)

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Download or read book Theory of Viscoelasticity written by R. M. Christensen and published by Courier Corporation. This book was released on 2013-04-26 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : William Nichols Findley
Publisher :
ISBN 13 : 9780720423693
Total Pages : 367 pages
Book Rating : 4.94/5 ( download)

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Download or read book Creep and Relaxation of Nonlinear Viscoelastic Materials written by William Nichols Findley and published by . This book was released on 1976 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: Pioneering book presents basic theory, experimental methods and results, solution of boundary value problems. Topics include creep, stress and strain, deformation analyses, multiple integral representation of nonlinear creep and relaxation, much more. Appendices. Bibliography.

Author : Olʹga A. Ladyženskaja
Publisher : American Mathematical Soc.
ISBN 13 : 9780821831410
Total Pages : 254 pages
Book Rating : 4.10/5 ( download)

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Download or read book Boundary Value Problems of Mathematical Physics written by Olʹga A. Ladyženskaja and published by American Mathematical Soc.. This book was released on 1991 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Y.M. Haddad
Publisher : Springer
ISBN 13 : 9401004366
Total Pages : 501 pages
Book Rating : 4.67/5 ( download)

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Download or read book Mechanical Behaviour of Engineering Materials written by Y.M. Haddad and published by Springer. This book was released on 2012-11-19 with total page 501 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph consists of two volumes and provides a unified, comprehensive presentation of the important topics pertaining to the understanding and determination of the mechanical behaviour of engineering materials under different regimes of loading. The large subject area is separated into eighteen chapters and four appendices, all self-contained, which give a complete picture and allow a thorough understanding of the current status and future direction of individual topics. Volume I contains eight chapters and three appendices, and concerns itself with the basic concepts pertaining to the entire monograph, together with the response behaviour of engineering materials under static and quasi-static loading. Thus, Volume I is dedicated to the introduction, the basic concepts and principles of the mechanical response of engineering materials, together with the relevant analysis of elastic, elastic-plastic, and viscoelastic behaviour. Volume II consists of ten chapters and one appendix, and concerns itself with the mechanical behaviour of various classes of materials under dynamic loading, together with the effects of local and microstructural phenomena on the response behaviour of the material. Volume II also contains selected topics concerning intelligent material systems, and pattern recognition and classification methodology for the characterization of material response states. The monograph contains a large number of illustrations, numerical examples and solved problems. The majority of chapters also contain a large number of review problems to challenge the reader. The monograph can be used as a textbook in science and engineering, for third and fourth undergraduate levels, as well as for the graduate levels. It is also a definitive reference work for scientists and engineers involved in the production, processing and applications of engineering materials, as well as for other professionals who are involved in the engineering design process.