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This book is a research monograph on the material instability known as adiabatic shear banding which often occurs in a plastically deforming material as it undergoes rapid shearing. Plastic deformation generates heat, which eventually softens most materials with continued straining, a process which is usually unstable. In this case the instability results in thin regions of highly deformed material, which are often the sites of further damage and complete failure. The main body of the book examines a series of one-dimensional problems of increasing complexity. In this way a comprehensive and quantitative picture of the complete phenomena is built up. Particular care is taken to use well established asymptotic techniques to find simple, but universal, analytic expressions or scaling laws that encapsulate various aspects of the dynamic formation and the final morphology of shear bands. A fully developed mechanics of shear is just beginning to emerge as a major companion to fracture mechanics, this book may speed the process along.
Starting from fundamentals of classical stability theory, an overview is given of the transition phenomena in subsonic, wall-bounded shear flows. At first, the consideration focuses on elementary small-amplitude velocity perturbations of laminar shear layers, i.e. instability waves, in the simplest canonical configurations of a plane channel flow and a flat-plate boundary layer. Then the linear stability problem is expanded to include the effects of pressure gradients, flow curvature, boundary-layer separation, wall compliance, etc. related to applications. Beyond the amplification of instability waves is the non-modal growth of local stationary and non-stationary shear flow perturbations wh...
The aim of this book is to provide students of engineering mechanics with detailed solutions of a number of selected engineering mechanics problems. It was written on the demand of the students in our courses who try to understand given solutions from their books or to solve problems from scratch. Often solutions in text books cannot be reproduced due to minor mistakes or lack of mathematical knowledge. Here we walk the reader step by step through the solutions given in all details. We thereby are trying to address students with different educational background and bridge the gap between undergraduate studies, advanced courses on mechanics and practical engineering problems. It is an easy read with plenty of illustrations which brings the student forward in applying theory to problems. This is the first volume of 'Statics' covering force systems on rigid bodies and properties of area. This is a valuable supplement to a text book in any introductory mechanics course.
Rev. ed. of: Adiabatic shear localization / Y. Bai and B. Dodd. 1992. 1st ed.