Understanding Viscoelasticity
Basics of Rheology
This book presents an introduction to viscoelasticity; in particular, to the the ories of dilute polymer solutions and melts, and dilute suspensions of rigid particles in viscous and incompressible fluids. These theories are important, not just because they apply to practical problems of industrial interest, but because they form a solid theoretical base upon which mathematical tech niques can be built, from which more complex theories can be constructed, to better mimic material behaviour. The emphasis is not on the voluminous cur rent topical research, but on the necessary tools to understand viscoelasticity at a first year graduate level. 1 Viscoelasticity, or Continuum Mechanics, or Rheology (certainly not to be confused with Theology) is the science of deformation and flow. This def 2 3 inition of was due to Bingham, who, together with Scott-Blair and Reiner, helped form The Society of Rheology in 1929. Rheology has a distinguished history involving high-profile scientists. The idea that everything has a time scale, and that if we are prepared to wait long enough then everything will flow was known to the Greek philosopher Heraclitus, and prior to him, to the 4 Prophetess Deborah - The Mountains Flowed Before The Lord. Not surpris ingly, the motto of the Society of Rheology is 1ravra pet (everything flows), a saying attributed to Heraclitus.
Viscoelasticity (or rheology) is a highly mathematical subject, interfacing several disciplines, from applied mathematics to mechanics and engineering. Other books on rheology are usually comprehensive to such a degree that students find it hard to isolate the important physical principles and develop good analytical skills for solving useful engineering problems. In this book, the necessary background for understanding viscoelasticity is covered; both the continuum and microstructure approaches to modelling viscoelastic materials are discussed, since neither approach alone is sufficient. The book starts with tensor notation, to give students the basic working tools, then addresses kinematics and constitutive equations, and ends with the constitutive modelling of polymer solutions and suspensions. It also includes a series of problems of graded difficulty. It is self-contained and ideally suited for a one-semester course on viscoelasticity.
| Autor: | Phan-Thien, Nhan |
|---|---|
| ISBN: | 9783642077791 |
| Sprache: | Englisch |
| Produktart: | Kartoniert / Broschiert |
| Verlag: | Springer Nature EN |
| Veröffentlicht: | 09.12.2010 |
| Untertitel: | Basics of Rheology |
| Schlagworte: | B Classical and Continuum Physics Complex systems Dynamical systems Dynamics & statics Engineering, general Engineering: general Engineering Fluid Dynamics Fluid- and Aerodynamics Fluid mechanics Fluids Physics and Astronomy Statistical Physics and Dynamical Systems Statistical physics Technology and Engineering Theoretical, Mathematical and Computational Physics engineering |
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