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Elasto-Plasticity of Frame Structure Elements

Modeling and Simulation of Rods and Beams

  • Book
  • © 2014

Overview

Authors:
  1. Andreas Öchsner

    1. Griffith University, Southport, Australia,The University of New Castle, Callaghan, Australia

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  • Concentrates on the basic ideas of elasto-plastic finite element procedures

  • Restricts the content to one-dimensional plasticity facilitating the mathematical formalism

  • Makes it much easier to study and understand the advanced theory and the respective text books Provides many solved and supplementary problems

  • Includes supplementary material: sn.pub/extras

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Table of contents (8 chapters)

  1. Front Matter

    Pages i-xx
    Download chapter PDF

  2. Introduction

    • Andreas Öchsner
    Pages 1-3

  3. Continuum Mechanics of Plasticity

    • Andreas Öchsner
    Pages 5-35

  4. Axial Loading of Rods

    • Andreas Öchsner
    Pages 37-54

  5. Bending of Beams

    • Andreas Öchsner
    Pages 55-149

  6. Review of Linear-Elastic Finite Element Simulations

    • Andreas Öchsner
    Pages 151-312

  7. Elasto-Plastic Finite Element Simulations

    • Andreas Öchsner
    Pages 313-380

  8. Alternative Approach: The Finite Difference Method

    • Andreas Öchsner
    Pages 381-435

  9. Prelude to the General Three-Dimensional Case

    • Andreas Öchsner
    Pages 437-461

  10. Back Matter

    Pages 463-596
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Keywords

About this book

The finite element method is a powerful tool even for non-linear materials’ modeling. But commercial solutions are limited and many novel materials do not follow standard constitutive equations on a macroscopic scale. Thus, is it required that new constitutive equations are implemented into the finite element code. However, it is not sufficient to simply implement only the equations but also an appropriate integration algorithm for the constitutive equation must be provided. This book is restricted to one-dimensional plasticity in order to reduce and facilitate the mathematical formalism and theory and to concentrate on the basic ideas of elasto-plastic finite element procedures. A comprehensive set of completely solved problems is designed for the thorough understand of the presented theory. After working with this new book and reviewing the provided solved and supplementary problems, it should be much easier to study and understand the advanced theory and the respective text books.

Authors and Affiliations

  • Griffith University, Southport, Australia,The University of New Castle, Callaghan, Australia

    Andreas Öchsner

Bibliographic Information

  • Book Title: Elasto-Plasticity of Frame Structure Elements

  • Book Subtitle: Modeling and Simulation of Rods and Beams

  • Authors: Andreas Öchsner

  • DOI: https://doi.org/10.1007/978-3-662-44225-8

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2014

  • Hardcover ISBN: 978-3-662-44224-1Published: 27 August 2014

  • Softcover ISBN: 978-3-662-50689-9Published: 23 August 2016

  • eBook ISBN: 978-3-662-44225-8Published: 13 August 2014

  • Edition Number: 1

  • Number of Pages: XX, 596

  • Number of Illustrations: 328 b/w illustrations

  • Topics: Solid Mechanics, Characterization and Evaluation of Materials, Computational Science and Engineering

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