Von mises smaller than tresca in calculations

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Discussion Overview

The discussion revolves around the comparison of von Mises and Tresca yield criteria in the context of stress calculations. Participants are exploring the discrepancies in their calculated yield values and the implications of these differences in their analyses.

Discussion Character

  • Debate/contested
  • Technical explanation
  • Mathematical reasoning

Main Points Raised

  • Some participants report their calculated von Mises yield stress values being lower than their Tresca values, raising questions about the correctness of their methods.
  • One participant mentions that drawing separate loci for von Mises and Tresca may be appropriate for analyzing stresses.
  • Another participant notes that the von Mises ellipse should fit inside the Tresca hexagon, suggesting a potential error in calculations if this is not observed.
  • There is a claim that Tresca stress should not exceed a certain percentage above von Mises stress, indicating a relationship between the two criteria that may not be reflected in the participants' results.

Areas of Agreement / Disagreement

Participants express differing views on the calculations and the relationship between von Mises and Tresca yield stresses. There is no consensus on the reasons for the discrepancies observed in their results.

Contextual Notes

Participants have not provided complete details of their calculations, which may limit the ability to fully assess the discrepancies in yield stress values. Additionally, assumptions regarding the material properties and loading conditions are not explicitly stated.

kookie
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hi every one.
i am struggling with the same problem. my principal stresses were the same as the guys above but my von mises σyeild=325MPa which is also smaller than the tresca hexagon σyield =421 MPa.
von mises = σ1^2+σ2^2-σ1σ2=(σyield/K)^2

i was wandering if this method was correct

p.s. is there a reason behind why vonmises's is nearly 100MPa lesser than tresca
 
Last edited:
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kookie said:
hi every one.
i am struggling with the same problem. my principal stresses were the same as the guys above but my von mises σyeild=325MPa which is also smaller than the tresca hexagon σyield =421 MPa.
von mises = σ1^2+σ2^2-σ1σ2=(σyield/K)^2

i was wandering if this method was correct

p.s. is there a reason behind why vonmises's is nearly 100MPa lesser than tresca

Hi kookie, welcome to PF!

Please give the entire problem and your entire solution, and then you'll likely get useful comments. Nobody can know how you set up and performed the calculations otherwise.
 


I am also struggling on the same problem.

I have the tresca yield value as 421
and the von Mises value as 365

When i draw the loci it makes the von Mises elipse fit exactly inside the Tresca

bit confused
 
hey guys i found out through my lecturer that in that specific case it would be appropriate to draw two separate locis one for von mises and one for tresca and analyse the on them stresses separately.

Good luck
 
I assume posts 1 and 3 refer to post https://www.physicsforums.com/showthread.php?t=449446#post2996853". Please correct me if I am wrong.
kookie said:
PS: Is there a reason why von Mises stress is nearly 100 MPa less than tresca?

kookie: Yes. The reason is because you made a mistake. :smile: Tresca stress is never greater than 15.5 % greater than von Mises stress, as in post 3. See post 2 by Mapes.
russs91 said:
When I draw the loci, it makes the von Mises ellipse fit exactly inside the Tresca.

russs91: The maximum shear stress theory (Tresca) failure envelope (locus, hexagon) always fits inside the von Mises ellipse. Therefore, it appears you have something amiss. See post 2 by Mapes.
 
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