Vonmises Stress Vs Maximum Principle Stress

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Discussion Overview

The discussion centers around the differences between Von Mises Stress criterion and Maximum Principal Stress criterion, including their applicability to different types of materials, specifically brittle and ductile materials. Participants explore theoretical aspects and practical implications of these stress criteria.

Discussion Character

  • Technical explanation
  • Debate/contested

Main Points Raised

  • Some participants describe Maximum Principal Stress Theory as predicting failure when the maximum principal stress reaches the elastic limit in simple tension, particularly for brittle materials like cast iron.
  • Others explain Von Mises Stress as a theory that separates total strain energy into volumetric and distortion components, suggesting yield occurs when the distortion component exceeds the yield point from a tensile test.
  • A participant questions whether a material yields or fails when Von Mises stress is greater than Maximum Principal Stress or vice versa, indicating uncertainty about the relationship between these criteria.
  • Another participant notes that Von Mises stress is often favored in practical applications due to its alignment with shear failure, while acknowledging the stochastic nature of material failure and the need for safety factors.

Areas of Agreement / Disagreement

Participants express differing views on the relationship between Von Mises stress and Maximum Principal Stress, with no consensus reached on which criterion is more applicable or under what conditions.

Contextual Notes

Some claims about the applicability of these theories to specific materials remain unresolved, and the discussion does not clarify the mathematical relationship between Von Mises stress and compressive strength.

Chandrakiran
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Hello All,

Can anyone let me know the difference between Vonmises Stress criterion and Maximum Principle Stress criterion ?? And for what kind of materials " Brittle / Ductile " can they be used and why ??

Thanks in advance for your time.
 
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Maximum Principle Stress Theory - According to this theory failure will occur when the maximum principal stress in a system reaches the value of the maximum stress at elastic limit in simple tension. This theory is approximately correct for cast iron and brittle materials generally.

Source: http://www.roymech.co.uk/Useful_Tables/Mechanics/stress.html


Von Mises Stress (Distortion Energy Theory) - This theory proposes that the total strain energy can be separated into two components: the volumetric (hydrostatic) strain energy and the shape (distortion or shear) strain energy. It is proposed that yield occurs when the distortion component exceeds that at the yield point for a simple tensile test.

Source: http://en.wikipedia.org/wiki/Yield_(engineering )

More information on Von Mises Stress can be found http://en.wikipedia.org/wiki/Von_Mises_stress" .


General information on solid mechanics can be found http://en.wikibooks.org/wiki/Solid_Mechanics" .

CS
 
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HI,

Thank you very much for very useful information and your precious time.

Chandra.
 
stewartcs said:
Maximum Principle Stress Theory - According to this theory failure will occur when the maximum principal stress in a system reaches the value of the maximum stress at elastic limit in simple tension. This theory is approximately correct for cast iron and brittle materials generally.

Source: http://www.roymech.co.uk/Useful_Tables/Mechanics/stress.html


Von Mises Stress (Distortion Energy Theory) - This theory proposes that the total strain energy can be separated into two components: the volumetric (hydrostatic) strain energy and the shape (distortion or shear) strain energy. It is proposed that yield occurs when the distortion component exceeds that at the yield point for a simple tensile test.

Source: http://en.wikipedia.org/wiki/Yield_(engineering )

More information on Von Mises Stress can be found http://en.wikipedia.org/wiki/Von_Mises_stress" .


General information on solid mechanics can be found http://en.wikibooks.org/wiki/Solid_Mechanics" .

CS
Hi all,

with regards to the max. principal stress vs von mises stress, does a material yield or fail if the von mises is greater than the max. principal stress or visa versa?

secondly, how is the von mises related to compressive strength (or minimun principal stress)?

your help will be greatly appreciated

regards

Tach
 
Last edited by a moderator:
Tach159 said:
Hi all,

with regards to the max. principal stress vs von mises stress, does a material yield or fail if the von mises is greater than the max. principal stress or visa versa?

secondly, how is the von mises related to compressive strength (or minimun principal stress)?

your help will be greatly appreciated

regards

Tach

The beauty of Von Mises stress is that in the real world "everything" fails by shear. That's why it has emerged as the favorite failure theory. Having said that, the world of material failure is highly stochastic - subject to statistical variation. So as good as the theory is, you still need significant factors of safety if you don't want your project to come crashing down.

You find Von Mises stress from the principle stresses by using a big ol gnarly equation or three. It is always a smaller value than maximum principle stress (by definition) BUT it is aligned in the direction that has to support the maximum shear load. This can be very helpful in design.

hth (and i hope that I'm not too rusty on this subject)
 
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This is an old thread.

What is the interest in revival?
 
A question was asked, I assumed it was cool to answer it. Silly me.

It would have been better to start a new thread?
 
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