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Elastoplasticity Theory

  • Book
  • © 2009

Overview

Authors:
  1. Koichi Hashiguchi

    1.   , Fukuoka, Japan

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  • Presents a comprehensive explanation of elastoplasticity
  • Basic concept and the recent state of elastoplastic constitutive relations

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

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Table of contents (15 chapters)

  1. Front Matter

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  2. Tensor Analysis

    • Koichi Hashiguchi
    Pages 1-56

  3. Motion and Strain (Rate)

    • Koichi Hashiguchi
    Pages 57-99

  4. Conservation Laws and Stress Tensors

    • Koichi Hashiguchi
    Pages 101-109

  5. Objectivity and Corotational Rate Tensor

    • Koichi Hashiguchi
    Pages 111-125

  6. Elastic Constitutive Equations

    • Koichi Hashiguchi
    Pages 127-133

  7. Basic Formulations for Elastoplastic Constitutive Equations

    • Koichi Hashiguchi
    Pages 135-170

  8. Unconventional Elastoplasticity Model: Subloading Surface Model

    • Koichi Hashiguchi
    Pages 171-189

  9. Cyclic Plasticity Model: Extended Subloading Surface Model

    • Koichi Hashiguchi
    Pages 191-209

  10. Viscoplastic Constitutive Equations

    • Koichi Hashiguchi
    Pages 211-220

  11. Constitutive Equations of Metals

    • Koichi Hashiguchi
    Pages 221-248

  12. Constitutive Equations of Soils

    • Koichi Hashiguchi
    Pages 249-307

  13. Corotational Rate Tensor

    • Koichi Hashiguchi
    Pages 309-325

  14. Localization of Deformation

    • Koichi Hashiguchi
    Pages 327-336

  15. Numerical Calculation

    • Koichi Hashiguchi
    Pages 337-347

  16. Constitutive Equation for Friction

    • Koichi Hashiguchi
    Pages 349-385

  17. Back Matter

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Keywords

About this book

Contents Recent advancements in the performance of industrial products and structures are quite intense. Consequently, mechanical design of high accuracy is necessary to enhance their mechanical performance, strength and durability. The basis for their mechanical design can be provided through elastoplastic deformation analyses. For that reason, industrial engineers in the fields of mechanical, civil, architec- ral, aerospace engineering, etc. must learn pertinent knowledge relevant to elas- plasticity. Numerous books about elastoplasticity have been published since “Mathema- cal Theory of Plasticity”, the notable book of R. Hill (1950), was written in the middle of the last century. That and similar books mainly address conventional plasticity models on the premise that the interior of a yield surface is an elastic domain. However, conventional plasticity models are applicable to the prediction of monotonic loading behavior, but are inapplicable to prediction of deformation behavior of machinery subjected to cyclic loading and civil or architectural str- tures subjected to earthquakes. Elastoplasticity has developed to predict defor- tion behavior under cyclic loading and non-proportional loading and to describe nonlocal, finite and rate-dependent deformation behavior.

Authors and Affiliations

  •   , Fukuoka, Japan

    Koichi Hashiguchi

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