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

ISBN: 9780521715386 出版年：2014 页码：278 Barenblatt Cambridge University Press

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.