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stress concentration and fatigue 1

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mfinke

Mechanical
Nov 4, 2003
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Dear all,

i have read some articles in this forum and i think it is a very good source to share knowledge.

I´m trying to do some fatigue estimation of manifolds under internal pressure.

The more i´m reading about fatigue life prediction the more question i have.

1. stresses and strains calculated linear elastically are concentrated at notches. In my model there are intersections of bores and therefore very sharp notches. I have learned that at such singularities there is no prediction of stress allowed or possible.
Do i have to reduce this stresses with something like NEUBER´s rule when plasticity occurs (above yield)and if the stresses are not beyond yield can i thrust them ? or can i just fillet the notch ?

2. the material data i use are stress-cycles curves from uniaxial tension test on smooth specimen and at a stress ratio of R=-1 (fully reversed).
The stress ratio in my model is R=0 and the state of stress is not unaxial, how to handle this ?

3. i have read that there is several material data that can be compared with the stresses / strain in the model. I mean i can compare calculated stress with stress-cycles-curve or with strain-cycles-curve or even campare it with damage parameter curve (Pswt...smith, watson, topper) and so on.
Which one should i use ?


best regards

MAtthias

 
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Mfinke,

I have been struggling with exactly the same problem for some time and am grateful to this forum for teaching me a few things. You have indicated that you have a sharp corner at the intersection of two bores. In real world there are no abosolute sharp corners. Even if there was a sharp corner to begin with, as soon as the load is applied this corner will yield and develop some form of radius. However for preliminary analysis the first model can be simple and may not have all the fillets. When you look at the results of your preliminary analysis it will tell you if you have any significant stresses near a sharp corner. For such corners I nrmally start by using a fillet radius of 1/32. If you see high stresses as a result, it would indicate that the fillet radius needs to be increased.

However after doing all of the above if you still see stresses higher than yield stress of the material, it is my impression that to get a real answer one has to go for nonlinear analysis using nonlinear material properties.

Neuber's rule is an empirical rule to estimate notch sensitivity of the material. However I have not found enough experimental evidence to know how reliable this rule is. It seems to me a little far fetched that a single formula can simulate the behaviour of whole range of materials and all types and shapes of notches. Is there any body out there who is using Neuber's rule in combination with FEA to evaluate fatigue?

I know that some of this information has been discussed in earlier threads. But some more information will be appreciated.

Gurmeet
 
HI Gurmeet and Irwin,

thank you for your replies.

The material of the manifold is:
Germany: EN-GJS-400-15
USA: ASTM A536 60-40-18

So if the stress at a notch, where i previously added a small radius is below yield, i can use this stress for the fatigue estimation.

But which material data should i choose ?

And if the stress is above yield i have to run a analysis with nonlinear material properties. But how to handle the results for further fatigue calculation ?

regards

Matthias

 
Mfinke,

Before you do any fatigue analysis make sure you have a good life history of the part. This is the toughest part of fatigue analysis. If you want the part to survive 10,000 cycles but it is above yield the part will more than likely break before the 10,000 cycles. When I do fatigue I will use stress/life analysis if the part is below yield. Stress life is usually used for below about 80 % yield and roughly 10,000 cycles or more. If the part is beyond yield then strain life should be used. To my knowledge of SWT is roughly that it is the same as strain life but allows for a smoother transition between elastic and plastic zones. You will probably want to correct for R=0. Most predictive softwares for fatigue have several options. When you are just starting out with fatigue, the only way to get good results and find the best approach for the corrections is to put strain gages on the part and test it yourself. Also remember that the FEA model is for an ideal situation, it may already have the notch effect in the model but it does not have other corrections such as surface finish or surface treatment. Keep in mind that Max Principle stresses are used most often for fatigue analysis.

BJP
 
Hi all,

what i know about the part is from a hydraulic cycling test. I know the load and the rough cycles until crack occurs. We have not applied any strain gages.

what i know about the material is from literature (Boller, Seeger / material data for cycling loading)

I have looked for some formula to convert the stress-life-curve form stress ratio R=-1 to R=0 (with mean stress), so for my understanding the allowable stress should be higher at R=0 than at R=-1. At the MILHBK 5J there is a lot of data for several materials and i found there an EQUIVALENT STRESS FORMULA [Seq=Smax(1-R)^factor].

My questions are:
-is there an empirical formula for every material, like the one i use (ductile cast iron) ?
-what do they mean with Seq (i think it is the stress at another R and not something like von Mises stress) ?
-i my model there are notches and i don´t know Kt, how to use fatigue data from notched specimen and vise versa ?

thank you all, i´m really sold on this forum

regards,

MAtthias
 
Your notch Kt is already built into your model.
Use a polished fully reversed specimen data.
Seq, I believe, is your equivalent stress (mean stress) greater than zero. It is a correction factor of your max principle stress on a non-fully reversible load.

BJP
 
Although I can’t help with your fatigue question, I will supply some observations about hydraulic component failure.
In hydraulic components the most common cause of part failure is work induced pressure spikes. Analog gauges will not react fast enough to show pressure spikes the system sees. Threads in manifolds are frequently the first thing fail from pressure spikes. Generally we adopted the following guidelines for manifolds, 2,000 psi and lower aluminum bar stock is ok, up to 4,000 psi cast iron is ok, higher pressures we only use carbon steel bar stock.
We use Cosmos Works for FEA. We have manufactured a manifold from C1018 Cold drawn flat bar for years that has a Sun cartridge type pilot operated check valve to hold a hydraulic cylinder closed. The work induced loads will create pressures in excess of 15,000 psi against the pilot operated check valve. This block shows stress over yield at the passage intersections in one area. We have never seen cracking in an area that the FEA shows very high stress, but once the pressure is over 15,000 psi the threads will fail causing the cartridge to blow out.
Cast iron with higher yield than carbon steel seems to fatigue crack much quicker in hydraulics than carbon steel.
 
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