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Plasticity and Textures

  • Wiktor¬†Gambin

Table of contents

  1. Front Matter
    Pages i-xvii
  2. Wiktor Gambin
    Pages 1-6
  3. Wiktor Gambin
    Pages 7-33
  4. Wiktor Gambin
    Pages 34-79
  5. Wiktor Gambin
    Pages 80-124
  6. Wiktor Gambin
    Pages 125-160
  7. Wiktor Gambin
    Pages 161-207
  8. Wiktor Gambin
    Pages 208-228
  9. Back Matter
    Pages 229-240

About this book

Introduction

The classical, phenomenological theory of plastically anisotropic materials has passed a long way: from the work of von Mises presented in 1928, and the HilI formulation given in 1948, to the latest papers on large elastic-plastic deformations of anisotropic metal sheets. A characteristic feature of this approach is a linear flow rule and a quadratic yield criterion. Mathematical simplicity of the theory is a reason of its numerous applications to the analysis of engineering structures during the onset of plastic deformations. However, such an approach is not sufficient for description of the metal forming processes, when a metal element undergoes very large plastic strains. If we take an initially isotropic piece of metal, it becomes plastically anisotropic during the forming process, and the induced anisotropy progressively increases. This fact strongly determines directions of plastic flow, and it leads to an unexpected strain localization in sheet elements. To explain the above, it is necessary to take into account a polycrystalline structure of the metal, plastic slips on slip systems of grains, crystallographic lattice rotations, and at last, a formation of textures and their evolution during the whole deformation process. In short, it is necessary to introduce the plasticity of crystals and polycrystals. The polycrystal analysis shows that, when the advanced plastic strains take place, some privileged crystallographic directions, called a crystallographic texture, occur in the material. The texture formation and evolution are a primary reason for the induced plastic anisotropy in pure metals.

Keywords

Metall crystal deformation kinematics metal model plasticity

Authors and affiliations

  • Wiktor¬†Gambin
    • 1
    • 2
  1. 1.Department of Applied MechanicsWarsaw University of TechnologyWarsawPoland
  2. 2.Institute of Fundamental Technological ResearchesPolish Academy of SciencesWarsawPoland

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-015-9763-0
  • Copyright Information Springer Science+Business Media B.V. 2001
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-90-481-5912-3
  • Online ISBN 978-94-015-9763-0
  • Buy this book on publisher's site
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