Lecture Notes in Applied and Computational Mechanics

Elastoplasticity Theory

Authors: Hashiguchi, Koichi

  • Understandable book for even beginners in the field of elastoplasticity
  • Explains physical backgrounds with illustrations and descriptions of detailed derivation processes without a jump
  • In the second edition the latest and rigorous elastoplastic models are introduced and explained concisely
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eBook $139.00
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  • ISBN 978-3-642-35849-4
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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.

 

Reviews

“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)


Table of contents (16 chapters)

  • Tensor Analysis

    Hashiguchi, Koichi

    Pages 1-47

  • Motion and Strain (Rate)

    Hashiguchi, Koichi

    Pages 49-76

  • Conservation Laws and Stress Tensors

    Hashiguchi, Koichi

    Pages 77-99

  • Objectivity, and Objective and Corotational Rate Tensors

    Hashiguchi, Koichi

    Pages 101-122

  • Elastic Constitutive Equations

    Hashiguchi, Koichi

    Pages 123-129

Buy this book

eBook $139.00
price for USA (gross)
  • ISBN 978-3-642-35849-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Elastoplasticity Theory
Authors
Series Title
Lecture Notes in Applied and Computational Mechanics
Series Volume
69
Copyright
2014
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-35849-4
DOI
10.1007/978-3-642-35849-4
Series ISSN
1613-7736
Edition Number
2
Number of Pages
XVIII, 455
Topics