Palmgren-Miner rule

The Palmgren-Miner rule is the most commonly used method of accounting for damage accumulation ... 

The S-N diagram plots the life time of a material at constant stress amplitude and R ratio. It is, however, not possible to assert the life time, using the diagram, if the load amplitude changes. The most obvious way to determine the life time in this case is to simulate the service load history in the laboratory. Unfortunately, this is a rather involved procedure that is not feasible in most cases. It would be helpful if it were possible to estimate the life time directly from the S-N curves. One way to do this is to use Miner s rule (also known as Palmgren-Miner rule) [99] that will be explained now. The rule is rather simple and thus easy to employ, but it has some disadvantages, discussed at the end of this section. 

Using the Palmgren-Miner rule no difference would be found between the two cases. Conversely, experimental results show a rather large difference because the plate would withstand 4,60,000 cycles under load history A and only 63,000 cycles under load history B. Interesting enough, without any overload application at all the pane would has a life of 1,15,000 cycles. 

Fig. 8.17 Linear damage progression and accumulation according to the Palmgren-Miner rule...

Finally, the mode of application of different forms of Palmgren-Miner s rule modifications or residual strength approaches is linked also to the counting algorithm involved, see also the next chapter. 

The linear damage rule is used for the design of pressure vessels for fatigue evaluation. This rule was first proposed by Palmgren and further developed by Miner, and is popularly known as Miner s rule. 

The S-N (or L-N) curve is only directly applicable to constant amplitude fatigue whereas in most practical applications for structural joints a variable amplitude fatigue spectrum is more likely. A simple method of using S-N data to predict variable amplitude fatigue is that proposed by Palmgren (1924) and further developed by Miner (1945). The Pahngren—Miner (P-M) rule can be represented by... 

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