Harmony of Self-Similarity : Overcoming the Strength–Ductility Trade-Off Through Harmonic Structure
Within the new generation of structural materials having heterogeneous microarchitectures, one of the top performers is harmonic structure (HS). Herewith, the exciting discovery of self-similarity in their stress–strain behavior is reported. HS materials consist of the 3D skeleton of ultrafine grains (UFG) encompassing coarse-grained (CG) counterparts. Our discovery simplifies the mathematical des