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Boundary Value Problems In Linear Viscoelasticity
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Book Synopsis Boundary Value Problems in Linear Viscoelasticity by : John M. Golden
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).
Book Synopsis Boundary Value Problems in Linear Viscoelasticity by : John M. Golden
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:
Book Synopsis Mathematical Problems in Linear Viscoelasticity by : Mauro Fabrizio
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.
Book Synopsis Initial Boundary Value Problems in Linear Viscoelasticity on the Half-space by : Jürgen Mark
Download or read book Initial Boundary Value Problems in Linear Viscoelasticity on the Half-space written by Jürgen Mark and published by . This book was released on 1994 with total page 33 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Some Dynamic Mixed Boundary Value Problems in Linear Viscoelasticity by : Gary Charles Wesley Sabin
Download or read book Some Dynamic Mixed Boundary Value Problems in Linear Viscoelasticity written by Gary Charles Wesley Sabin and published by 1975.. This book was released on 1975 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Solution of Mixed Boundary Value Problems in Linear Viscoelasticity that Involve Time-dependent Boundary Regions (microfilm). by : Gary Charles Wesley Sabin
Download or read book The Solution of Mixed Boundary Value Problems in Linear Viscoelasticity that Involve Time-dependent Boundary Regions (microfilm). written by Gary Charles Wesley Sabin and published by . This book was released on 1970 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Initial Boundary Value Problems in Linear Viscoelasticity Using Wiener-Hopf Methods by : Jürgen Mark
Download or read book Initial Boundary Value Problems in Linear Viscoelasticity Using Wiener-Hopf Methods written by Jürgen Mark and published by . This book was released on 2000 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Solution of Mixed Boundary Value Problems in Linear Viscoelasticity that Involve Time-dependent Boundary Regions [microform] by : Gary Charles Wesley Sabin
Download or read book The Solution of Mixed Boundary Value Problems in Linear Viscoelasticity that Involve Time-dependent Boundary Regions [microform] written by Gary Charles Wesley Sabin and published by National Library of Canada. This book was released on 1970 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Correspondence Principle of Linear Viscoelasticity Theory for Mixed Boundary Value Problems Involving Time-dependent Boundary Regions by : G. A. C. Graham
Download or read book The Correspondence Principle of Linear Viscoelasticity Theory for Mixed Boundary Value Problems Involving Time-dependent Boundary Regions written by G. A. C. Graham and published by . This book was released on 1966 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Mixed Boundary Value Problem in Viscoelasticity with Time-dependent Boundary Regions by : T. C. T. Ting
Download or read book A Mixed Boundary Value Problem in Viscoelasticity with Time-dependent Boundary Regions written by T. C. T. Ting and published by . This book was released on 1968 with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt: A correspondence principle of linear viscoelasticity theory for mixed boundary value problems with time-dependent boundary regions was studied by Graham in which the associated elastic solutions are required to satisfy certain restricted conditions. In this paper a generalized correspondence principle is given in which no restrictions are imposed on the associated elastic solutions. The results can be extended to thermo-rheologically simple viscoelastic media if the temperature field is either purely position-dependent or purely time-dependent. (Author).
Book Synopsis Mathematical Problems in Viscoelasticity by : Michael Renardy
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:
Book Synopsis Crack and Contact Problems for Viscoelastic Bodies by : G.A.C. Graham
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.
Book Synopsis The Theory of Linear Viscoelasticity by : D. R. Bland
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 145 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.
Book Synopsis Theory of Viscoelasticity by : R. M. Christensen
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 386 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.
Book Synopsis Creep and Relaxation of Nonlinear Viscoelastic Materials by : William N. Findley
Download or read book Creep and Relaxation of Nonlinear Viscoelastic Materials written by William N. Findley and published by Courier Corporation. This book was released on 2013-01-15 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Stress Obtained by Interpolation Methos for a Boundary Value Problem in Linear Viscoelasticity by : Wolfgang Desch
Download or read book Stress Obtained by Interpolation Methos for a Boundary Value Problem in Linear Viscoelasticity written by Wolfgang Desch and published by . This book was released on 2004 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Creep and Relaxation of Nonlinear Viscoelastic Materials by : William Nichols Findley
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.
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