Skip to main content
SpringerLink
Log in
Book cover

Equivalent Stress Concept for Limit State Analysis

  • Book
  • © 2018

Overview

Authors:
  1. Vladimir A. Kolupaev

    1. Fraunhofer Institute for Structural Durability and System Reliability (LBF), Darmstadt, Germany

    View author publications

    You can also search for this author in PubMed   Google Scholar

  • Discusses arbitrary multiaxial stress states using the concept of equivalent stress
  • Highlights the most useful criteria, which can be applied to various classes of isotropic materials
  • Includes a wealth of examples demonstrating different approaches to modeling limit behaviors

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

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (15 chapters)

  1. Front Matter

    Pages i-xvii
    Download chapter PDF

  2. Introduction

    • Vladimir A. Kolupaev
    Pages 1-11

  3. Criteria of Equivalent Stress Concept

    • Vladimir A. Kolupaev
    Pages 13-66

  4. Visualization Methods

    • Vladimir A. Kolupaev
    Pages 67-88

  5. Formulations of Classical Strength Hypotheses

    • Vladimir A. Kolupaev
    Pages 89-99

  6. Dimensionless Values for Comparison

    • Vladimir A. Kolupaev
    Pages 101-122

  7. Visualization of Standard Criteria

    • Vladimir A. Kolupaev
    Pages 123-138

  8. Alternative Formulations of Standard Criteria

    • Vladimir A. Kolupaev
    Pages 139-149

  9. Conditions and Assumptions of Strength Criteria

    • Vladimir A. Kolupaev
    Pages 151-158

  10. Generalized Pressure-Insensitive Criteria

    • Vladimir A. Kolupaev
    Pages 159-193

  11. Generalized Pressure-Sensitive Criteria

    • Vladimir A. Kolupaev
    Pages 195-221

  12. Multi-surface Criteria

    • Vladimir A. Kolupaev
    Pages 223-256

  13. Fitting of Criteria

    • Vladimir A. Kolupaev
    Pages 257-269

  14. Experiments and Equipment

    • Vladimir A. Kolupaev
    Pages 271-312

  15. Applications

    • Vladimir A. Kolupaev
    Pages 313-356

  16. Summary and Outlook

    • Vladimir A. Kolupaev
    Pages 357-365
Back to top

Keywords

About this book

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.

Authors and Affiliations

  • Fraunhofer Institute for Structural Durability and System Reliability (LBF), Darmstadt, Germany

    Vladimir A. Kolupaev

Bibliographic Information

  • Book Title: Equivalent Stress Concept for Limit State Analysis

  • Authors: Vladimir A. Kolupaev

  • Series Title: Advanced Structured Materials

  • DOI: https://doi.org/10.1007/978-3-319-73049-3

  • Publisher: Springer Cham

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer International Publishing AG, part of Springer Nature 2018

  • Hardcover ISBN: 978-3-319-73048-6Published: 29 January 2018

  • Softcover ISBN: 978-3-319-89231-3Published: 07 June 2019

  • eBook ISBN: 978-3-319-73049-3Published: 18 January 2018

  • Series ISSN: 1869-8433

  • Series E-ISSN: 1869-8441

  • Edition Number: 1

  • Number of Pages: XVII, 365

  • Number of Illustrations: 5 b/w illustrations, 205 illustrations in colour

  • Topics: Solid Mechanics, Structural Materials

Publish with us

Policies and ethics

Back to top

Search

Navigation