If there exists such relation, then why is this so?

If such relation doesn't exist, than which molecular factors contribute to endurance limit of polymers?

The image of Stress vs Fatigue cycle is from Callister's materials science and engineering. Both Nylon (polyamide) and PET (polyester) are condensation polymers, while rest in the example are addition polymers. I do not think this connection can be obvious- entrapped condensation products and water-induced hydrolysis may also have some role. Or is there any stress-dependent irreversible reaction going on for condensation polymers?

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