Fig. 4: Laminate theory analysis for the Young’s modulus and strengths for the three types of bioinspired architectures.

a Schematic illustration of the elementary structural unit extracted from an individual lamina in the laminate subject to in-plane uniaxial tension. The local coordinate system for the element and the global coordinate system for the lamina are denoted, respectively, using (1, 2) and (L1, L2). b–d Schematic illustrations of the spatial arrangements of constituents for the bioinspired (b) brick-and-mortar, (c) Bouligand, and (d) crossed-lamellar architectures, and the theoretical results on the variations in the Young’s modulus E, yield strength σYS and ultimate tensile strength σUTS of the composites as a function of the specific angles α, β and γ. The experimental data (solid dots) are also presented for comparison.