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

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    Large deformation near a crack tip in a fiber-reinforced neo-Hookean sheet.pdf
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    Type
    Article
    Authors
    Liu, Yin
    Moran, Brian cc
    KAUST Department
    Academic Affairs
    Graduate Affairs
    Mechanical Engineering Program
    Physical Science and Engineering (PSE) Division
    Date
    2020-06-11
    Online Publication Date
    2020-06-11
    Print Publication Date
    2020-10
    Embargo End Date
    2022-06-20
    Submitted Date
    2019-12-25
    Permanent link to this record
    http://hdl.handle.net/10754/663850
    
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    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
    Sponsors
    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
    ae974a485f413a2113503eed53cd6c53
    10.1016/j.jmps.2020.104049
    Scopus Count
    Collections
    Articles; Physical Science and Engineering (PSE) Division; Mechanical Engineering Program

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