English

Landau theory of bending-to-stretching transition

Soft Condensed Matter 2019-11-13 v4

Abstract

Transition from bending-dominated to stretching-dominated elastic response in semi-flexible fibrous networks plays an important role in the mechanical behavior of cells and tissues. It is induced by changes in network connectivity and relies on construction of new cross-links. We propose a simple continuum model of this transition with macroscopic strain playing the role of order parameter. An unusual feature of this Landau-type theory is that it is based on a single-well potential. We predict that bending-to-stretching transition proceeds through propagation of the localized fronts separating domains with affine and non-affine elastic response.

Keywords

Cite

@article{arxiv.1906.01750,
  title  = {Landau theory of bending-to-stretching transition},
  author = {O. U. Salman and G. Vitale and L. Truskinovsky},
  journal= {arXiv preprint arXiv:1906.01750},
  year   = {2019}
}