Large deformation near a crack tip in a fiber-reinforced neo-Hookean sheet with discrete and continuous distributions of fiber orientations

Luca Di Stasio, Yin Liu, Brian Moran

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

We consider crack tip deformations under plane stress conditions of a Neo-Hookean sheet reinforced by Neo-Hookean fibers, whose orientation and elastic properties are described by discrete and continuous spatial distributions. The mechanical behavior of the composite is described in terms of the first and fourth invariant of the right Cauchy-Green tensor following Guo et al. [1–3]. The crack tip integrals developed in Liu and Moran [4,5] are used to determine the coefficients of the crack tip asymptotic expansion. The von Mises distribution of orientation is analyzed. The existence of a regime of isotropic behavior, which we call asymptotic isotropy, in the region of dominance of the asymptotic fields is established for certain combinations of fiber orientations. Finally, the possibility to construct an asymptotic universal one-to-one mapping between anisotropic and isotropic Neo-Hookean plane stress response at the crack tip is discussed.
Original languageEnglish (US)
Pages (from-to)103020
JournalTheoretical and Applied Fracture Mechanics
Volume114
DOIs
StatePublished - May 19 2021

ASJC Scopus subject areas

  • Materials Science(all)
  • Mechanical Engineering
  • Applied Mathematics
  • Condensed Matter Physics

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