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Foundations of Elastoplasticity: Subloading Surface Model

  • Koichi¬†Hashiguchi

Table of contents

  1. Front Matter
    Pages i-xxiii
  2. Koichi Hashiguchi
    Pages 1-63
  3. Koichi Hashiguchi
    Pages 65-97
  4. Koichi Hashiguchi
    Pages 99-125
  5. Koichi Hashiguchi
    Pages 127-152
  6. Koichi Hashiguchi
    Pages 153-164
  7. Koichi Hashiguchi
    Pages 257-274
  8. Koichi Hashiguchi
    Pages 275-315
  9. Koichi Hashiguchi
    Pages 317-394
  10. Koichi Hashiguchi
    Pages 415-429
  11. Koichi Hashiguchi
    Pages 431-461
  12. Koichi Hashiguchi
    Pages 463-469
  13. Koichi Hashiguchi
    Pages 471-487
  14. Koichi Hashiguchi
    Pages 489-499
  15. Koichi Hashiguchi
    Pages 567-601
  16. Koichi Hashiguchi
    Pages 651-684
  17. Back Matter
    Pages 685-796

About this book

Introduction

This book is the standard text book of elastoplasticity in which the elastoplasticity theory is comprehensively described from the conventional theory for the monotonic loading to the unconventional theory for the cyclic loading behavior. Explanations of vector-tensor analysis and continuum mechanics are provided first as a foundation for elastoplasticity theory, covering various strain and stress measures and their rates with their objectivities.

Elastoplasticity has been highly developed by the creation and formulation of the subloading surface model which is the unified fundamental law for irreversible mechanical phenomena in solids. The assumption that the interior of the yield surface is an elastic domain is excluded in order to describe the plastic strain rate due to the rate of stress inside the yield surface in this model aiming at the prediction of cyclic loading behavior, although the yield surface enclosing the elastic domain is assumed in all the elastoplastic models other than the subloading surface model. Then, the plastic strain rate develops continuously as the stress approaches the yield surface, providing the advantages: 1) The tangent modulus changes continuously, 2) The yield judgment whether the stress reaches the yield surface is not required, 3) The stress is automatically attracted to the yield surface even when it goes out from the yield surface by large loading increments in numerical calculation and 4) The finite strain theory based on the multiplicative decomposition of deformation gradient tensor is formulated exactly. Consequently, the monotonic, the cyclic, the non-proportional loading behaviors for wide classes of materials including soils, rocks and concretes in addition to metals can be described rigorously by the subloading surface model.

    Further, the viscoplastic constitutive equations in a general rate from the quasi-static to the impact loadings are described, and constitutive equations of friction behavior and its application to the prediction of stick-slip phenomena, etc. are also described in detail. In addition, the return-mapping algorithm, the consistent tangent modulus, etc. are explained for the numerical analyses. Further, the damage, the phase-transformation and the crystal plasticity models are also described in brief. All of them are based on the subloading surface model. The elastoplasticity analysis will be advanced steadily based on the subloading surface model.

Keywords

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

Authors and affiliations

  • Koichi¬†Hashiguchi
    • 1
  1. 1.MSC Software Ltd.TokyoJapan

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-48821-9
  • Copyright Information Springer International Publishing AG 2017
  • Publisher Name Springer, Cham
  • eBook Packages Engineering
  • Print ISBN 978-3-319-48819-6
  • Online ISBN 978-3-319-48821-9
  • Buy this book on publisher's site