Is Damascus steel fatigue-resistant? Likely. At a crack front, the soft layer undergoes ratcheting deformation, and de-concentrates stress in the hard layer. See an old paper on crawling.

https://suo.seas.harvard.edu/files/suo/files/114.pdf
In metals, hard and soft are measured by yield strength. In elastomers, hard and soft are measured by modulus. There is some analogy.

Here is a recent paper on fatigue-resistant elastomers through stress de-concentration.

https://suo.seas.harvard.edu/files/suo/files/417.pdf
Also see a journal club on fatigue-resistant hydrogels by
@lin_shaoting and @ProfZhaoMIT

https://imechanica.org/node/24333 
Metallic laminates vs. elastomeric laminates.

Similarity: soft phase de-concentrates stress in hard phase.

Difference: metals are plastic, but elastomers are elastic.

Cyclic load may cause incremental deformation at the crack front in metals, but may not in elastomers.
Stress de-concentration also operates in ceramic composites. The fiber/matrix interface is weak, which de-concentrates stress in the fiber.

See a discussion in the paragraph just before Conclusion. https://suo.seas.harvard.edu/files/suo/files/398.pdf
For stress de-concentration across many length scales, see Fig. S9.

A polymer network is an elastic dissipater. De-concentrate stress over an entire chain.

Lattices are also elastic dissipaters.

https://www.pnas.org/content/pnas/suppl/2019/03/07/1821420116.DCSupplemental/pnas.1821420116.sapp.pdf
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