© 2014

Elastoplasticity Theory


Part of the Lecture Notes in Applied and Computational Mechanics book series (LNACM, volume 69)

Table of contents

  1. Front Matter
    Pages 1-16
  2. Koichi Hashiguchi
    Pages 1-47
  3. Koichi Hashiguchi
    Pages 49-76
  4. Koichi Hashiguchi
    Pages 77-99
  5. Koichi Hashiguchi
    Pages 123-129
  6. Koichi Hashiguchi
    Pages 203-212
  7. Koichi Hashiguchi
    Pages 213-242
  8. Koichi Hashiguchi
    Pages 243-306
  9. Koichi Hashiguchi
    Pages 307-316
  10. Koichi Hashiguchi
    Pages 317-331
  11. Koichi Hashiguchi
    Pages 333-341
  12. Back Matter
    Pages 421-455

About this book


This book was written to serve as the standard textbook of elastoplasticity for students, engineers and researchers in the field of applied mechanics. The present second edition is improved thoroughly from the first edition by selecting the standard theories from various formulations and models, which are required to study the essentials of elastoplasticity steadily and effectively and will remain universally in the history of elastoplasticity. It opens with an explanation of vector-tensor analysis and continuum mechanics as a foundation to study elastoplasticity theory, extending over various strain and stress tensors and their rates. Subsequently, constitutive equations of elastoplastic and viscoplastic deformations for monotonic, cyclic and non-proportional loading behavior in a general rate and their applications to metals and soils are described in detail, and constitutive equations of friction behavior between solids and its application to the prediction of stick-slip phenomena are delineated. In addition, the return-mapping algorithm, the consistent tangent operators and the objective time-integration algorithm of rate tensor are explained in order to enforce the FEM analyses. All the derivation processes and formulations of equations are described in detail without an abbreviation throughout the book.

The distinguishable features and importance of this book is the comprehensive description of fundamental concepts and formulations including the objectivity of

tensor and constitutive equations, the objective time-derivative of tensor functions, the associated flow rule, the loading criterion, the continuity and smoothness conditions and their substantial physical interpretations in addition to the wide classes of reversible/irreversible constitutive equations of solids and friction behavior between solids.



Constitutive Equation of Friction Constitutive Equations of Metals and Soils Elastoplastic Constitutive Equation Viscoplastic Constitutive Equation

Authors and affiliations

  1. 1.FukuokaJapan

Bibliographic information

  • Book Title Elastoplasticity Theory
  • Authors Koichi Hashiguchi
  • Series Title Lecture Notes in Applied and Computational Mechanics
  • Series Abbreviated Title Lect.Notes in Applied (formerly:Lect.Notes Appl.Mechan.)
  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 2014
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Engineering Engineering (R0)
  • Hardcover ISBN 978-3-642-35848-7
  • Softcover ISBN 978-3-642-42655-1
  • eBook ISBN 978-3-642-35849-4
  • Series ISSN 1613-7736
  • Series E-ISSN 1860-0816
  • Edition Number 2
  • Number of Pages XVIII, 455
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Solid Mechanics
    Classical Mechanics
  • Buy this book on publisher's site
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“This book gives an exhaustive explanation of elastoplasticity, which is intended to be understood easily and clearly not only by researchers but also by beginners in the field of applied mechanics, without reading any other book. … The authors uses a clear and compact direct notation, and simple figures are helpful for understanding.” (Albrecht Bertram, zbMATH 1318.74001, 2015)