Dynamic fiber reorientation in a fiber-reinforced hyperelastic material

Andrey V. Melnik, Alain Goriely

Research output: Contribution to journalArticlepeer-review

19 Scopus citations

Abstract

Fiber alignment in biological tissues is created and maintained by the cells, which respond to mechanical stimuli arising from properties of the surrounding material. This coupling between mechanical anisotropy and tissue remodeling can be modeled in nonlinear elasticity by a fiber-reinforced hyperelastic material where remodeling is represented as the change in fiber orientation. Here, we study analytically a simple model of fiber reorientation in a rectangular elastic tissue reinforced by two symmetrically arranged families of fibers subject to constant external loads. In this model, the fiber direction tends to align with the maximum principal stretch. We characterize the global behaviour of the system for all material parameters and applied loads, and show that provided the fibers are tensile initially, the system converges to a stable equilibrium, which corresponds to either complete or intermediate fiber alignment.
Original languageEnglish (US)
Pages (from-to)634-648
Number of pages15
JournalMathematics and Mechanics of Solids
Volume18
Issue number6
DOIs
StatePublished - 2013
Externally publishedYes

ASJC Scopus subject areas

  • Mechanics of Materials
  • Materials Science(all)
  • Mathematics(all)

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