Von Mises Stress: Yield Stress & Elasticity

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SUMMARY

The discussion centers on the application of the von Mises stress criterion in determining material behavior under load. It is confirmed that if the von Mises stress is below the yield stress, the material behaves elastically, particularly for ductile materials like steel. However, for cyclic loading, one must consider fatigue strength. Alternative yield criteria, such as Drucker–Prager for concrete and ceramics, and Mohr-Coulomb for soil, are recommended for materials that do not conform to the von Mises criterion.

PREREQUISITES
  • Understanding of von Mises yield criterion
  • Knowledge of yield stress and elastic behavior
  • Familiarity with fatigue strength concepts
  • Awareness of alternative yield criteria like Drucker–Prager and Mohr-Coulomb
NEXT STEPS
  • Research the application of von Mises stress in engineering design
  • Study fatigue strength and its implications in material science
  • Explore the Drucker–Prager yield criterion for concrete and ceramics
  • Learn about the Mohr-Coulomb failure criterion in soil mechanics
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Engineers, material scientists, and students studying mechanics of materials, particularly those focusing on yield criteria and material behavior under stress.

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If the von mises stress well is below the yield stress, am I right to assure the material is behaving elastically?
 
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Yes, if you express it correctly mathematically.
 
mattyboson12 said:
If the von mises stress well is below the yield stress, am I right to assure the material is behaving elastically?

Possibly, but only for a single or low number of cycles. If you're dealing with cyclic or repeatedly-applied loads, you'll need to account for the material's fatigue strength.

https://en.wikipedia.org/wiki/Fatigue_(material)
 
Thank you
 
It depends on material. Von-mises yield criterion is good for steel and similar ductile and homogenous materials. For concrete, ceramics etc it is not accurate because of the different behaviour under tension and compression, where other yield criteria can be used like the Drucker–Prager one. For soil the Mohr-Coulomb criterion is often used.
 
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