Hertzian Static Contact Stress Acceptance Criteria

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Discussion Overview

The discussion revolves around the acceptance criteria for Hertzian static contact stress, particularly in the context of using Grade 5 Structural Steel. Participants explore the validity of using a multiple of the yield strength as a pass criterion and seek references to support their claims.

Discussion Character

  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant calculated a static contact stress of 670 N/mm2 and noted the absence of acceptance criteria, questioning the validity of using 2.5 times the yield strength as a reference.
  • Another participant provided a reference from "Mechanics of Materials" indicating that uncontained plastic flow begins at a contact stress of approximately 2.8 times the yield strength.
  • A third participant affirmed that Grade 5 structural steel is sufficiently ductile for the proposed approach, while cautioning that more brittle materials require careful consideration due to service factors.
  • Further elaboration was provided regarding the evaluation of Hertz contact stresses based on shear stress below the surface and the implications of surface roughness on stress values.
  • A participant offered a freeware program for calculating Hertzian stresses, suggesting it as a resource for further exploration.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the acceptance criteria for Hertzian static contact stress, with multiple competing views and references presented regarding the appropriate multiples of yield strength.

Contextual Notes

Limitations include the dependence on specific material properties and service conditions, as well as the lack of universally accepted criteria in the literature for the proposed multiples of yield strength.

crobb
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I have calculated a static contact stress of 670 N/mm2 using formula from Mechanical Engineering Design, Shigley, 5th Edition.

My problems lies that there is no acceptance criteria. I'm using Grade 5 Structural Steel (yield~355 N/mm2).

Previous threads have stated that a 2.5 * yield can be used for pass criteria but i can't this referenced in any code or book.

Can anyone provide a reference or justification for 2.5 * yield?
 
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I have now found a reference for this value:

Mechanics of Materials, 2nd Edition, E.J. Hearn. page 779 states 'uncontained plastic flow' commences when contact stress --> yield * 2.8
 
Hello crobb and welcome to Physics Forums.

Yes grade5 structural steel is sufficiently ductile for this approach to work.

High strength more brittle steels (and other materials) need more careful consideration - the outcome depends upon service factors such as grit or corrosion in rollers initiating a crack.

Post again if you want more.
 
crobb said:
I have now found a reference for this value:

Mechanics of Materials, 2nd Edition, E.J. Hearn. page 779 states 'uncontained plastic flow' commences when contact stress --> yield * 2.8

Usually, Hertz contact stresses are judged by the shear stress just below the surface. It will be ~211 N/mm2 in your case. Using Tresca's criterion, a minimum yield stress of ~422 N/mm2 will be required (for ductile materials). But yes, in static cases you can often allow for higher stress.

Note that surface roughness can drastically reduce the stresses.

You can use my freeware program to quickly calculate the Hertzian stresses at http://en.vinksda.nl under 'Toolkit'.

Jaap
 

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