Flow, Deformation and Fracture
Flow, Deformation and Fracture
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.
- Provides clear and detailed exposition from one of the most prominent scientists working in the field
- Covers all the basics as well as more sophisticated topics like turbulence and fracture
- Its unique focus on intermediate asymptotics leads to a clearer understanding of the mechanics of continua
Reviews & endorsements
'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
'This book achieves clarity of exposition on fringe but important topics that no other book on the market achieves … the legendary author Barenblatt and his groundbreaking lifework are spectacularly immortalized in Flow, Deformation and Fracture.' Colin R. Meyer, Pure and Applied Geophysics
Product details
June 2014Paperback
9780521715386
273 pages
247 × 174 × 15 mm
0.57kg
110 b/w illus.
Available
Table of 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.
