Large deformation near a crack tip in a fiber-reinforced neo-Hookean sheet

Embargo End Date
2022-06-20

Type
Article

Authors
Liu, Yin
Moran, Brian

KAUST Department
Academic Affairs
Graduate Affairs
Mechanical Engineering Program
Physical Science and Engineering (PSE) Division

Online Publication Date
2020-06-11

Print Publication Date
2020-10

Date
2020-06-11

Submitted Date
2019-12-25

Abstract
The asymptotic fields at the tip of a crack in a fiber-reinforced neo-Hookean sheet are derived. The investigation is carried out for the case of a strain energy function for a fiber-reinforced hyperelastic material motivated by composite mechanics (Guo et al., 2006, 2007ab), where the fibers are also neo-Hookean. The resulting asymptotic deformation and stress fields depend qualitatively and quantitatively on the degree of fiber reinforcement. For suitable choice of parameters, the strain energy potential for the material reduces to that of a pure neo-Hookean material and the corresponding asymptotic fields to those obtained by Knowles and Sternberg (1983). The result obtained may prove useful in providing a framework for future exploration in modeling and assessing the mechanical behavior near a slit or tear in soft biological tissue reinforced by collagen fibers and in other applications of fiber-reinforced soft materials.

Citation
Liu, Y., & Moran, B. (2020). Large deformation near a crack tip in a fiber-reinforced neo-Hookean sheet. Journal of the Mechanics and Physics of Solids, 143, 104049. doi:10.1016/j.jmps.2020.104049

Acknowledgements
Helpful discussions with Dr. Zaoyang Guo are gratefully acknowledged. The authors appreciate helpful comments and suggestions from Reviewers on the zone of dominance of the asymptotic fields and their applicability.

Publisher
Elsevier BV

Journal
Journal of the Mechanics and Physics of Solids

DOI
10.1016/j.jmps.2020.104049

Additional Links
https://linkinghub.elsevier.com/retrieve/pii/S0022509620302842

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