Flow, Deformation and Fracture - Lectures on Fluid Mechanics Mechanics of Deformable Solids for

Zusatztext 'Now those not fortunate enough to have been able to attend the course have the opportunity to see what has made it so special. 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 is one of the originators ... This is indeed a remarkable book.' Alexandre J. Chorin! from the Foreword Informationen zum Autor G. I. Barenblatt is Emeritus G. I. Taylor Professor of Fluid Mechanics at the University of Cambridge. Klappentext Drawing on forty years of teaching experience! the author presents the basic concepts of mathematical modeling of fluids and solids. Zusammenfassung 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 a period of forty years teaching the subject in Russia! Europe and America. Inhaltsverzeichnis 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. ...

Product details

• Authors: G. I. Barenblatt, Grigory Isaakovich Barenblatt, Grigory Isaakovich (University of Cali Barenblatt
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Paperback / Softback
• Released: 01.06.2014
• EAN: 9780521715386
• ISBN: 978-0-521-71538-6
• No. of pages: 273
• Series: Cambridge Texts in Applied Mathematics; Cambridge Texts in Applied Mathematics
• Subject: Natural sciences, medicine, IT, technology > Mathematics > General, dictionaries