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

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.

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

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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