Table 1.
Material | E (MPa) | εmax (%) | Proposed extensibility model | References |
---|---|---|---|---|
High extensibility, soft fibers | ||||
Crosslinked fibrin fibers | 1–10 | 332 | α ↔ β transition, domain unfolding, protofibril sliding | [1, 2, 33] |
Uncrosslinked fibrin fibers | 1–10 | 226 | α ↔ β transition, domain unfolding, protofibril sliding | [1, 2, 33] |
Spider silk (Araneus Flag silk) | 3 | 270 | Modular composition; large extensible amorphous or β-spiral regions connected by stiff crystallites | [34–39] |
Elastin (Bovine ligament) | 1 | 150 | Compact, amorphous, hydrophobic domains (random or β-spiral), which are crosslinked together, entropic, rubber-like elasticity | [40–6] |
Resilin (Dragonfly tendon)a | 1–2 | 190a | Compact, amorphous, hydrophobic domains, which are crosslinked | [40, 46, 47]a |
Cloned resilinb | 313b | together, entropic, rubber-like elasticity | Cloned [48]b | |
Matrix-free Intermediate filament (mammalianc, hagfishd) | 6–300 | 160c–220d | α ↔ β transition and/or fibril sliding | [49–53] |
Fibrillin | 0.2–100 | > 185 | Unstacking of pleated domains | [54–58] |
Myofibrils (sarcomere) Titin (Connectin) | 1 | 200 | Unfolding of PEVK and Immunoglobulin domains in Titin | [59–61] |
Mussel byssus (distal) | 10–500 | 109 | Block copolymer: collagen-like central domain (stiff) flanked by crystalline βsheets (stiff) and amorophous or β-sprial motifs (elastic) | [62–64] |
Fibronectin | - | 200–300 | Extension of bent and looped molecules and/or domain unfolding | [65–67] [68] |
Low extensibility, stiff fibers | ||||
Spider silk (Araneus MA silk) | 10, 000 | 27 | Modular composition; small, extensible amorphous or β spiral regions, connected by stiff crystallites | [34–39] |
Uncrosslinked, self-assembled collagen-I | - | 24–68 | Sliding of collagen fibrils | [69, 70] |
Cross-linked, self-assembled collagen | 5,000–7,500 | 12–16 | Highly regular, paracrystalline structure, small, reversible molecular deformations | [69, 70] |
Tendon collagen (mammalian tendon) | 160–7,500 | 12 | Highly regular, paracrystalline structure, small, reversible molecular deformations | [71–74] |
Actin | 1,800–2,500 | ≤ 15 | Highly regular, paracrystalline structure | [75–80] |
Microtubules | 1,000–1,500 | ≤ 20 | Highly regular, paracrystalline structure | [76, 81–84] |
Wet, hard α-keratin in high-sufur matrix (hair, wool) | 2,000 | 45 | α ↔ β transition of keratin (embedded in crosslinked, high-sulfur matrix) | [50, 85–90] |
There are two reasons for the range of values in the Young's modulus of a given fiber: (1) Authors report a range of values. (2) Strain hardening/softening; the fibers become stiffer/softer as the strain increases. The table includes microscopic fibers (diameter: order of micrometer or less) and macroscopic fibers (diameter: order of several micrometers or larger). Microscopic fibers are fibrin fibers, elastin fibers, resilin fibers, intermediate filaments, fibrillin, myofibrils, fibronectin, actin filaments, microtubules; macroscopic fibers are spider silk, mussel byssus, collagen fibers, wool fibers
Dragonfly tendon
Cloned resilin
Mammalian, matrix free intermediate filament
Hagfish threads, a model fiber for matrix-free intermediate filament