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![]() | The Physics and Mathematics of Adiabatic Shear Bands by T. W. Wright ISBN-10: 9780521631952 ISBN-10: 0-521-63195-5 ISBN-13: 9780521631952 ISBN-13: 978-0-521-63195-2 Hardcover 2002-08-15 Cambridge University Press Find Lowest Price | |
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Product Description This monograph covers the material instability known as adiabatic shear banding which often occurs in a plastically deforming material as it undergoes rapid shearing. This book surveys these exciting developments at the frontier of mathematics and presents many new results. 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. Divided into three parts, the book first reviews the physical phenomena and the standard methods of testing and characterization. It then establishes a general theory of isotropic plasticity with finite deformations as a setting for the simpler, but still nonlinear and highly coupled, equations of adiabatic shearing and the idealizations that are necessary to establish them. The main body of the book examines a series of one-dimensional problems of increasing complexity. | ||
Book Description This book is a research monograph on the material instability known as adiabatic shear banding. The phenomenon is important as a damage mechanism in rapidly deforming materials. Examples where shear bands are to be expected are ballistic impact, studies of crashworthiness, or rapid manufacturing processes. Depending on the application, shear bands may be harmful or beneficial, but to be controlled, they must first be understood. This book establishes the mathematical setting within which shear bands may be studied and uses well established asymptotic techniques to obtain scaling laws that describe major aspects of the formation and morphology of shear bands. This book should help shear mechanics to become a major companion to fracture mechanics. | ||