“…An up to 10µm long zone means that multiple crystallite nanofibers or even multiple enamel rods are included in the inelastic process and the bridging stress is not only caused by protein bridging alone. Experimental studies showed that the ultimate stress of proteins such as ligaments (mainly collagen), tendon (mainly collagen) and horn (mainly keratin) are 2.5-7MPa, 70MPa and 260MPa respectively (Sikoryn and Hukins, 1990;Bigliana et al, 1992, Meyers et al, 2008Druhala and Feughelman, 1974) and are generally lower than the calculated 163-770MPa Secondly, the stress intensity shielding contributed by the protein bridging can be estimated by using a Dugdale-zone model, K p =2*σ p *f p *(2*l p /π) 0.5 with K p the stress intensity due to protein bridging, σ p =2.5-260MPa the yield strength of protein, f p =0.1 the area fraction of protein bridging ligaments (estimated based on the volume fraction of protein in enamel), l p =1-10µm the protein bridging zone length (Evans and McMeeking, 1986). K p is calculated as 0-0.13MPa.m 0.5 and is much smaller than the crack tip toughness.…”