Viscous friction between crystalline and amorphous phase of dragline silk

PLoS One. 2014 Aug 13;9(8):e104832. doi: 10.1371/journal.pone.0104832. eCollection 2014.

Abstract

The hierarchical structure of spider dragline silk is composed of two major constituents, the amorphous phase and crystalline units, and its mechanical response has been attributed to these prime constituents. Silk mechanics, however, might also be influenced by the resistance against sliding of these two phases relative to each other under load. We here used atomistic molecular dynamics (MD) simulations to obtain friction forces for the relative sliding of the amorphous phase and crystalline units of Araneus diadematus spider silk. We computed the coefficient of viscosity of this interface to be in the order of 10(2) Ns/m(2) by extrapolating our simulation data to the viscous limit. Interestingly, this value is two orders of magnitude smaller than the coefficient of viscosity within the amorphous phase. This suggests that sliding along a planar and homogeneous surface of straight polyalanine chains is much less hindered than within entangled disordered chains. Finally, in a simple finite element model, which is based on parameters determined from MD simulations including the newly deduced coefficient of viscosity, we assessed the frictional behavior between these two components for the experimental range of relative pulling velocities. We found that a perfectly relative horizontal motion has no significant resistance against sliding, however, slightly inclined loading causes measurable resistance. Our analysis paves the way towards a finite element model of silk fibers in which crystalline units can slide, move and rearrange themselves in the fiber during loading.

Publication types

  • Research Support, Non-U.S. Gov't

MeSH terms

  • Amino Acid Sequence
  • Animals
  • Crystallization
  • Finite Element Analysis
  • Friction
  • Molecular Dynamics Simulation
  • Molecular Sequence Data
  • Silk / chemistry*
  • Spiders / chemistry*
  • Viscosity

Substances

  • Silk

Grants and funding

This study was funded by the Klaus Tschira Foundation (http://www.klaus-tschira-stiftung.de), the Deutsche Forschungsgemeinschaft(http://www.dfg.de) via grant GR 3494/7-1 and the Toyota Europe. The funders had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript.