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 language | English (US) |
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Pages (from-to) | 103020 |
Journal | Theoretical and Applied Fracture Mechanics |
Volume | 114 |
DOIs | |
State | Published - May 19 2021 |
Bibliographical note
KAUST Repository Item: Exported on 2021-07-08ASJC Scopus subject areas
- General Materials Science
- Mechanical Engineering
- Applied Mathematics
- Condensed Matter Physics