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Flow, deformation and fracture : lectures on fluid mechanics and the mechanics of deformable solids for mathematicians and physicists

Author: G I Barenblatt
Publisher: Cambridge : Cambridge University Press, 2014.
Series: Cambridge texts in applied mathematics.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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  Read more...
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Genre/Form: Electronic books
Textbooks
Additional Physical Format: Print version:
Barenblatt, G.I.
Flow, deformation and fracture
(DLC) 2013048955
(OCoLC)812250378
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: G I Barenblatt
ISBN: 9781139030014 1139030019
OCLC Number: 881380539
Description: 1 online resource (xx, 255 pages).
Contents: Foreword Alexandre J. Chorin; Preface; Introduction; 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 approximation of a linear elastic solid. Basic equations and boundary value problems of linear theory of elasticity; 6. Approximation of a linear elastic body. Applications: brittle and quasi-brittle fracture, strength of structures; 7. The approximation of Newtonian viscous fluids: general comments and basic relations; 8. Approximation of a Newtonian viscous fluid: 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; Bibliography; Index.
Series Title: Cambridge texts in applied mathematics.
Responsibility: Grigory Isaakovich Barenblatt, for. mem. RS, emeritus professor, University of California, Berkeley, emeritus G.I. Taylor Professor of Fluid Mechanics, University of Cambridge, principal scientist, Institute of Oceanology, Russian Academy of Sciences.

Abstract:

An outstanding resource for every teacher and student of the mechanics of continuous media. The author's unique approach, using the concept of intermediate asymptotics, has been tried and tested over  Read more...

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'The present book is a masterful exposition of fluid and solid mechanics, informed by the ideas of scaling and intermediate asymptotics, a methodology and point of view of which Professor Barenblatt Read more...

 
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