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The Physics and Mathematics of Adiabatic Shear Bands

The Physics and Mathematics of Adiabatic Shear Bands


Part of Cambridge Monographs on Mechanics

  • Date Published: August 2002
  • availability: Available
  • format: Hardback
  • isbn: 9780521631952

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About the Authors
  • 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.

    • Equations are established within the setting of finite deformation plasticity
    • Summarizes results in two dimensional experiments and analyses
    • Establishes the foundations from which shear mechanics may grow to take its place as a major companion to fracture mechanics
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    Reviews & endorsements

    ' … an admirable attempt to set down clearly the results of a research community over a lifetime. As a library reference or a guide to the researcher, it will be extremely valuable.' Contemporary Physics

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    Product details

    • Date Published: August 2002
    • format: Hardback
    • isbn: 9780521631952
    • length: 260 pages
    • dimensions: 229 x 152 x 19 mm
    • weight: 0.55kg
    • contains: 105 b/w illus.
    • availability: Available
  • Table of Contents

    1. Introduction: Qualitative description and one dimensional experiments
    2. Balance laws and nonlinear elasticity: a brief summary
    3. Thermoplasticity
    4. Models for thermoviscoplasticity
    5. One-dimensional problems, part I: general considerations
    6. One-dimensional problems, part II. linearization and growth of perturbations
    7. One-dimensional problems, part III: nonlinear solutions
    8. Two-dimensional experiments
    9. Two-dimensional solutions.

  • Author

    T. W. Wright, Army Research Laboratory

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