Unified Plasticity for Engineering Applications

  • Sol R. Bodner

Part of the Mathematical Concepts and Methods in Science and Engineering book series (MCSENG, volume 47)

Table of contents

  1. Front Matter
    Pages i-xi
  2. Sol R. Bodner
    Pages 71-96
  3. Sol R. Bodner
    Pages 97-100
  4. Back Matter
    Pages 101-115

About this book

Introduction

Considerably simplified models of macroscopic material behavior, such as the idealization for metals of elastic-time independent plastic response with a yield (onset) criterion, have served the engineering profession well for many years. They are still basic to the design and analysis of most structural applications. In the need to use materials more effectively, there are circumstances where those traditional models are not adequate, and constitutive laws that are more physically realistic have to be employed. This is especially relevant to conditions where the inherent time dependence of inelastic deformations, referred to as "viscoplasticity", is pronounced such as at elevated temperatures and for high strain rates. Unified theories of elastic-viscoplastic material behavior, which are primarily applicable for metals and metallic alloys, combine all aspects of inelastic response into a set of time dependent equations with a single inelastic strain rate variable. For such theories, creep under constant stress, stress relaxation under constant strain, and stress-strain relations at constant rates are each special cases of a general formulation. Those equations mayor may not include a yield criterion, but models which do not separate a fully elastic region from the overall response could be considered "unified" in a more general sense. The theories have reached a level of development and maturity where they are being used in a number of sophisticated engineering applications. However, they have not yet become a standard method of material representation for general engineering practice.

Keywords

deformation development materials metals modeling plasticity

Authors and affiliations

  • Sol R. Bodner
    • 1
  1. 1.Technion-Israel Institute of TechnologyHaifaIsrael

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4615-0551-8
  • Copyright Information Kluwer Academic/Plenum Publishers, New York 2002
  • Publisher Name Springer, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4613-5128-3
  • Online ISBN 978-1-4615-0551-8
  • About this book