Synopses & Reviews
This book establishes the mathematical setting within which shear bands may be studied and uses well established techniques that describe major aspects of their formation and morphology.
Synopsis
Includes bibliographical references (p. 229-238) and index.
Synopsis
This book is a research monograph on the material instability known as adiabatic shear danding. 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.
Table of Contents
Preface; 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.