Skip to content
Register Sign in Wishlist

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


Part of Cambridge Texts in Applied Mathematics

Alexandre J. Chorin
View all contributors
  • Date Published: June 2014
  • availability: Available
  • format: Paperback
  • isbn: 9780521715386

£ 36.99

Add to cart Add to wishlist

Other available formats:
Hardback, eBook

Looking for an inspection copy?

This title is not currently available on inspection

Product filter button
About the Authors
  • 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
    Read more

    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

    See more reviews

    Customer reviews

    Not yet reviewed

    Be the first to review

    Review was not posted due to profanity


    , create a review

    (If you're not , sign out)

    Please enter the right captcha value
    Please enter a star rating.
    Your review must be a minimum of 12 words.

    How do you rate this item?


    Product details

    • Date Published: June 2014
    • format: Paperback
    • isbn: 9780521715386
    • length: 273 pages
    • dimensions: 247 x 174 x 15 mm
    • weight: 0.57kg
    • contains: 110 b/w illus.
    • availability: Available
  • Table of Contents

    Foreword Alexandre J. Chorin
    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

  • Author

    Grigory Isaakovich Barenblatt, University of California, Berkeley
    G. I. Barenblatt is Emeritus G. I. Taylor Professor of Fluid Mechanics at the University of Cambridge, Emeritus Professor at the University of California, Berkeley, and Principal Scientist in the Institute of Oceanology of the Russian Academy of Sciences, Moscow.


    Alexandre J. Chorin

Related Books

also by this author

Sorry, this resource is locked

Please register or sign in to request access. If you are having problems accessing these resources please email

Register Sign in
Please note that this file is password protected. You will be asked to input your password on the next screen.

» Proceed

You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner Please see the permission section of the catalogue page for details of the print & copy limits on our eBooks.

Continue ×

Continue ×

Continue ×
warning icon

Turn stock notifications on?

You must be signed in to your Cambridge account to turn product stock notifications on or off.

Sign in Create a Cambridge account arrow icon

Find content that relates to you

Join us online

This site uses cookies to improve your experience. Read more Close

Are you sure you want to delete your account?

This cannot be undone.


Thank you for your feedback which will help us improve our service.

If you requested a response, we will make sure to get back to you shortly.

Please fill in the required fields in your feedback submission.