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  • © 2018

Equivalent Stress Concept for Limit State Analysis

  • 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)

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Table of contents (15 chapters)

  1. Front Matter

    Pages i-xvii
  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

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

Buy it now

Buying options

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