Flow, Deformation and Fracture: Lectures on Fluid Mechanics and the Mechanics of Deformable Solids for Mathematicians and Physicists

ISBN-13: 9780521887526 / Angielski / Twarda / 2014 / 276 str.

G I Barenblatt

Opis

Drawing on 40 years of teaching experience, the author presents the basic concepts of mathematical modeling of fluids and solids.

Recenzje

'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

Spis treści

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.