Flow, deformation and fracture : lectures on fluid mechanics and the mechanics of deformable solids for mathematicians and physicists / Grigory Isaakovich Barenblatt.
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TextSeries: Cambridge texts in applied mathematicsPublication details: Cambridge : Cambridge University Press, 2014.Description: xix, 255 p. : illustrations (some color) ; 26 cmISBN: - 9780521715386 (pbk.)
- 532.05 23 B248
| Item type | Current library | Call number | Status | Date due | Barcode | Item holds | |
|---|---|---|---|---|---|---|---|
| Books | ISI Library, Kolkata | 532.05 B248 (Browse shelf(Opens below)) | Available | 136911 |
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| 532.03 En56 Encyclopedia of fluid mechanics | 532.03 En56 Encyclopedia of fluid mechanics | 532.04 G624 Lectures on fluid mechanics | 532.05 B248 Flow, deformation and fracture : | 532.05 C858 Supersonic flow and shock waves | 532.05 D438 Fluid -structure interaction | 532.05 Em53 Analytical fluid dynamics |
Includes bibliographical references and index.
1. Idealized continuous media: the basic concepts --
2. Dimensional analysis and physical similitude --
3. The ideal incompressible fluid approximation: general concepts and relations --
4. The ideal incompressible fluid approximation: analysis and applications --
5. The linear elastic solid approximation. Basic equations and boundary value problems in the linear theory of elasticity --
6. The linear elastic solid approximation. Applications: brittle and quasi-brittle fracture; strength of structures --
7. The Newtonian viscous fluid approximation. General comments and basic relations --
8. The Newtonian viscous fluid approximation. Applications: the boundary layer --
9. Advanced similarity methods: complete and incomplete similarity --
10. The ideal gas approximation. Sound waves; shock waves --
11. Turbulence: generalities; scaling laws for shear flows --
12. Turbulence: mathematical models of turbulent shear flows and of the local structure of turbulent flows at very large Reynolds numbers.
Over forty years of teaching experience are distilled into this text. The guiding principle is the wide use of the concept of intermediate asymptotics, which enables the natural introduction of the modeling of real bodies by continua. Beginning with a detailed explanation of the continuum approximation for the mathematical modeling of the motion and equilibrium of real bodies, the author continues with a general survey of the necessary methods and tools for analyzing models. Next, specific idealized approximations are presented, including ideal incompressible fluids, elastic bodies and Newtonian viscous fluids. The author not only presents general concepts but also devotes chapters to examining significant problems, including turbulence, wave-propagation, defects and cracks, fatigue and fracture. Each of these applications reveals essential information about the particular approximation. The author's tried and tested approach reveals insights that will be valued by every teacher and student of mechanics.
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