Von Mises Stress: Yield Stress & Elasticity

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If the von Mises stress is below the yield stress, the material can generally be considered to behave elastically, provided the conditions are expressed mathematically. However, this assumption holds true primarily for single or low cycle loads; cyclic loading necessitates consideration of the material's fatigue strength. The applicability of the von Mises yield criterion varies by material type, being suitable for ductile and homogeneous materials like steel. For materials such as concrete and ceramics, alternative yield criteria like Drucker-Prager are more appropriate due to differing tension and compression behaviors. Understanding these distinctions is crucial for accurate material behavior assessment under various loading conditions.
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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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