Elastoplasticity Theory

  • Koichi Hashiguchi

Part of the Lecture Notes in Applied and Computational Mechanics book series (LNACM, volume 42)

Table of contents

  1. Front Matter
  2. Koichi Hashiguchi
    Pages 1-56
  3. Koichi Hashiguchi
    Pages 57-99
  4. Koichi Hashiguchi
    Pages 101-109
  5. Koichi Hashiguchi
    Pages 111-125
  6. Koichi Hashiguchi
    Pages 127-133
  7. Koichi Hashiguchi
    Pages 211-220
  8. Koichi Hashiguchi
    Pages 221-248
  9. Koichi Hashiguchi
    Pages 249-307
  10. Koichi Hashiguchi
    Pages 309-325
  11. Koichi Hashiguchi
    Pages 327-336
  12. Koichi Hashiguchi
    Pages 337-347
  13. Koichi Hashiguchi
    Pages 349-385
  14. Back Matter

About this book

Introduction

This book was written to serve as the standard textbook for instruction of elastoplasticity theory. It opens with an explanation of the mathematics and continuum mechanics which are necessary as a foundation of elastoplasticity theory. Subsequently, conventional and unconventional elastoplasticity theories are explained comprehensively for description of general loading behavior covering monotonic, nonproportional, and cyclic loading processes. Fundamental notions such as continuity and smoothness conditions, decomposition of deformation into elastic and plastic parts, the associated flow rule, the loading criterion and the anisotropy are defined, and then presented with their mechanical interpretations. Explicit constitutive equations of metals and soils, which are useful in engineering practice for the mechanical design of machinery and structures, are also introduced. Moreover, constitutive equations of friction with transition from static to kinetic friction and vice versa, and rotational and orthotropic anisotropy are provided. They are indispensable for analyses of boundary-value problems.

A distinguishing feature of this book is that it is written to be understandable without difficulty even by beginners in the field of elastoplasticity, explaining physical backgrounds with illustrations and descriptions of detailed derivation processes without a jump. Furthermore, the history and the latest results related to elastoplasticity are explained thoroughly to the extent that the fundamentals of elastoplasticity theory can be understood and be applicable readily to analyses of engineering problems.

Keywords

Constitutive equation of friction Constitutive equations of metals and soils Elastoplastic constitutive equation Viscoplastic constitutive equation continuum mechanics mechanics plasticity plasticity theory

Authors and affiliations

  • Koichi Hashiguchi
    • 1
  1. 1.  FukuokaJapan

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-00273-1
  • Copyright Information Springer-Verlag Berlin Heidelberg 2009
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Engineering
  • Print ISBN 978-3-642-00272-4
  • Online ISBN 978-3-642-00273-1
  • Series Print ISSN 1613-7736
  • Series Online ISSN 1860-0816
  • About this book