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is there any proper model for the fatigue crack tip stress-strain field?

Submitted by Chen Long on

dear my friends:

 I am a new one in the fatigue crack study. as we all konw, there is a crack resistant near the crack tip before its cracking. HRR model has been well testfied in monotanic crack, so i wonder whether it can be expanded to the cyclic crack situation or not! if yes, so how to describe the stress-strain distribution just nearby the tip? can we define a similar resistant value in the cyclic status?and is the stress redistribution concept right for the stress harden material?

any suggestions would be appreciated!

regards, Long