Equivalent Stress Concept for Limit State Analysis

✍ Scribed by Vladimir A. Kolupaev (auth.)

• Publisher: Springer International Publishing
• Year: 2018
• Tongue: English
• Leaves: 374
• Series: Advanced Structured Materials 86
• Edition: 1
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Front Matter ....Pages i-xvii
Introduction (Vladimir A. Kolupaev)....Pages 1-11
Criteria of Equivalent Stress Concept (Vladimir A. Kolupaev)....Pages 13-66
Visualization Methods (Vladimir A. Kolupaev)....Pages 67-88
Formulations of Classical Strength Hypotheses (Vladimir A. Kolupaev)....Pages 89-99
Dimensionless Values for Comparison (Vladimir A. Kolupaev)....Pages 101-122
Visualization of Standard Criteria (Vladimir A. Kolupaev)....Pages 123-138
Alternative Formulations of Standard Criteria (Vladimir A. Kolupaev)....Pages 139-149
Conditions and Assumptions of Strength Criteria (Vladimir A. Kolupaev)....Pages 151-158
Generalized Pressure-Insensitive Criteria (Vladimir A. Kolupaev)....Pages 159-193
Generalized Pressure-Sensitive Criteria (Vladimir A. Kolupaev)....Pages 195-221
Multi-surface Criteria (Vladimir A. Kolupaev)....Pages 223-256
Fitting of Criteria (Vladimir A. Kolupaev)....Pages 257-269
Experiments and Equipment (Vladimir A. Kolupaev)....Pages 271-312
Applications (Vladimir A. Kolupaev)....Pages 313-356
Summary and Outlook (Vladimir A. Kolupaev)....Pages 357-365

✦ Subjects

Continuum Mechanics and Mechanics of Materials