Flow, Deformation and Fracture: Lectures on Fluid Mechanics and the Mechanics of Deformable Solids for Mathematicians and Physicists: 49 (Cambridge Texts in Applied Mathematics, Series Number 49) - Hardcover

Barenblatt, Grigory Isaakovich

Hardcover

ISBN 10: 0521887526 ISBN 13: 9780521887526

Publisher: Cambridge University Press, 2014

Synopsis

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.

About this title

About the Author

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.

Edition details

• Publisher: Cambridge University Press
• Publication date: 2014
• Language: English
• ISBN 10: 0521887526
• ISBN 13: 9780521887526
• Binding: Hardcover
• Number of pages: 276