Figure 3.
Comparison of the fibril stress (σ), interfibrillar shear stress (τ), and fibril displacements (u) along the unit cell length in the elastic and plastic shear lag models with increasing applied tissue strain (from row 1 to 3). (Row 1: A–D) Initially, when Ls is less than Lc, there is less interfibrillar sliding (i.e., smaller region where u1 ≠ u2) in the plastic model compared to the elastic model (εuc = 0.5%). (Row 2: E–H) As the applied tissue strain increases, Ls becomes similar to Lc and the amount of interfibrillar sliding is approximately the same between the two models. The fibril stress distribution and point at which the interfibrillar shear stress approaches zero are also very similar between the two models (εuc = 1.4%). (Row 3: I–L) At higher applied strains, Ls continues to increase until Ls = L/4, where the interfibrillar sliding and shear stress occur across the entire fibril length, maximally loading the fibrils. In contrast, the elastic model produces identical distributions of stresses and displacements since the characteristic length over which loads are transmitted between fibrils (Lc) remains constant. Model parameters: Ef = 700 MPa, r = 85 nm, ϕ = 0.7, τp = 0.275 kPa, G = 1 Pa, L = 10 mm.