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  3. Flow, Deformation and Fracture
  • Cited by 27
Publisher:
Cambridge University Press
Online publication date:
June 2014
Print publication year:
2014
Online ISBN:
9781139030014
DOI:
https://doi.org/10.1017/CBO9781139030014
Subjects:
Mathematics, Differential and Integral Equations, Dynamical Systems and Control Theory, Engineering, Mathematical Physics, Fluid Dynamics and Solid Mechanics, Solid Mechanics and Materials
Series:
Cambridge Texts in Applied Mathematics (49)
Information

Book description

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

‘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 Source: Pure and Applied Geophysics

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Contents

Contents
References
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