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Equivalent Stress Concept for Limit State Analysis [electronic resource] / by Vladimir A. Kolupaev.

By: Kolupaev, Vladimir A [author.].
Contributor(s): SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Advanced Structured Materials: 86Publisher: Cham : Springer International Publishing : Imprint: Springer, 2018Edition: 1st ed. 2018.Description: XVII, 365 p. 210 illus., 205 illus. in color. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783319730493.Subject(s): Mechanics, Applied | Solids | Building materials | Solid Mechanics | Structural MaterialsAdditional physical formats: Printed edition:: No title; Printed edition:: No title; Printed edition:: No titleDDC classification: 620.105 Online resources: Click here to access online
Contents:
Introduction -- Criteria of Equivalent Stress Concept.-Visualization Methods -- Formulations of Classical Strength -- Values for Comparison -- Visualization of Standard Criteria -- Alternative Formulations of Standard Criteria -- Conditions and Assumptions of Strength Criteria -- Generalized Pressure-Insensitive Criteria -- Generalized Pressure-Sensitive Criteria -- Multi-Surface Criteria -- Fitting of Criteria -- Experiments & Equipment -- Applications. Summary and Outlook.
In: Springer Nature eBookSummary: 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.
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Introduction -- Criteria of Equivalent Stress Concept.-Visualization Methods -- Formulations of Classical Strength -- Values for Comparison -- Visualization of Standard Criteria -- Alternative Formulations of Standard Criteria -- Conditions and Assumptions of Strength Criteria -- Generalized Pressure-Insensitive Criteria -- Generalized Pressure-Sensitive Criteria -- Multi-Surface Criteria -- Fitting of Criteria -- Experiments & Equipment -- Applications. Summary and Outlook.

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.

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