Equivalent Stress Concept for Limit State Analysis

  • Vladimir A.┬áKolupaev

Part of the Advanced Structured Materials book series (STRUCTMAT, volume 86)

Table of contents

  1. Front Matter
    Pages i-xvii
  2. Vladimir A. Kolupaev
    Pages 1-11
  3. Vladimir A. Kolupaev
    Pages 13-66
  4. Vladimir A. Kolupaev
    Pages 67-88
  5. Vladimir A. Kolupaev
    Pages 89-99
  6. Vladimir A. Kolupaev
    Pages 101-122
  7. Vladimir A. Kolupaev
    Pages 123-138
  8. Vladimir A. Kolupaev
    Pages 139-149
  9. Vladimir A. Kolupaev
    Pages 151-158
  10. Vladimir A. Kolupaev
    Pages 159-193
  11. Vladimir A. Kolupaev
    Pages 195-221
  12. Vladimir A. Kolupaev
    Pages 223-256
  13. Vladimir A. Kolupaev
    Pages 257-269
  14. Vladimir A. Kolupaev
    Pages 271-312
  15. Vladimir A. Kolupaev
    Pages 313-356
  16. Vladimir A. Kolupaev
    Pages 357-365

About this book

Introduction

This book discusses arbitrary multiaxial stress states using the concept of equivalent stress. It highlights the most useful criteria, which can be applied to various classes of isotropic materials. Due to its simplicity and clarity, this concept is now widely used in component design, and many strength and yield criteria based on the equivalent stress concept have been formulated. Choosing the appropriate criterion for a given material remains the main challenge in applications. 

The most useful criteria can be applied best when the plausibility assumptions are known. Accordingly, the book introduces fitting methods based on mathematical, physical, and geometrical objective functions. It also features a wealth of examples that demonstrate the application of different approaches in modeling certain limit behaviors.

Keywords

Equivalent Stress Concept Strength Hypotheses Yield Criteria Limit Surfaces Pressure-Insensitive Criteria Pressure-Sensitive Criteria arbitrary multiaxial stress

Authors and affiliations

  • Vladimir A.┬áKolupaev
    • 1
  1. 1.Fraunhofer Institute for Structural Durability and System Reliability (LBF)DarmstadtGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-73049-3
  • Copyright Information Springer International Publishing AG 2018
  • Publisher Name Springer, Cham
  • eBook Packages Engineering
  • Print ISBN 978-3-319-73048-6
  • Online ISBN 978-3-319-73049-3
  • Series Print ISSN 1869-8433
  • Series Online ISSN 1869-8441
  • About this book